Quantum Decoherence Theory

A complete theoretical model of the nuclear spin conversion in 13 CH 3 F induced by intramolecular ortho-para state mixing is proposed. The model contains parameters determined from the level-crossing spectra of the 13 CH 3 F spin conversion. This set of parameters includes the ortho-para decoherence rate, the magnitude of the hyperfine spin-spin interaction between the molecular nuclei and the energy gap between the mixed ortho and para states. These parameters are found to be in a good agreement with their theoretical estimates.

We propose a unified framework for the emergence of reality based on the ICQER-ToE Resonance Axiom. Reality arises from a primordial oscillatory substrate (Φ) governed by informational constraints that shape quantum events, energy flows, and the formation of matter and fields. From this axiom, we derive seven Resonance Laws, which collectively govern the propagation, transformation, and coupling of resonance across all scales. This framework offers a coherent ontology connecting atomic, planetary, and cosmic phenomena and provides a foundation for future predictive modeling in physics, cosmology, and complex systems. 1. Introduction Modern physics offers numerous laws describing aspects of reality-quantum mechanics, general relativity, and field theories-yet no framework unites substrate, mechanism, and emergent phenomena. The ICQER-ToE Resonance framework addresses this by integrating: 1. Resonance (Φ) as the fundamental substrate of all existence. 2. ICQER constraints governing quantum events, information propagation, and system evolution. Together, these provide a unified axiomatic structure, where the laws of physics are emergent harmonics of a primordial resonance field. 2. The Resonance Substrate (Φ) Axiom (ICQER-ToE Resonance Axiom): "Resonance (Φ) is the fundamental ordering substrate of the universe; all energy, matter, fields, and information arise as structured manifestations of this oscillatory continuum under informational constraints." Properties of Φ: Ontologically primary: not derived from any other entity. Oscillatory: supports coherent propagation and coupling. Continuous: spans all scales from atomic to cosmic. Generative: enables all phenomena as structured manifestations. Φ forms the medium through which ICQER constraints operate, making it the foundation of reality.

Filters and frequencies are the hidden instruments of informational science. Like a prism splitting white light into its rainbow spectrum, filters allow us to reveal the hidden harmonics within complex biological signals. Like tuning out the orchestra to hear only one violin, frequency filters enable nonlinear diagnostic systems (NLS) to identify the unique "voices" of tissues and organs. This article examines the physics of filtering and frequency analysis as applied to nonlinear diagnostics, weaving metaphors with mathematics to create a rigorous yet accessible narrative. From transfer functions and Fourier transforms to entropy measures and coherence, the science of filters provides the foundation for constructing spectral databases and identifying resonance-based biological signatures. The essay closes with a reflection on the future of adaptive filtering, dynamic frequency libraries, and temporal harmonics.

This paper explores the physical principles underlying nonlinear diagnostic systems (NLS), moving beyond anecdotal or purely historical accounts to frame these instruments within the language of physics. Biological systems are conceptualized as open oscillatory circuits that exchange energy and information with their environment. Resonance, interference, and nonlinear signal amplification are examined as the core mechanisms that make NLS possible. Inline equations are introduced to clarify key ideas, including oscillator resonance, coupled systems, and nonlinear amplification. By presenting NLS as a physics-based inquiry into resonance signatures rather than a medical doctrine, this paper aims to ground the field in concepts that are both familiar to physicists and open to future development.

Volume 3 of the Ononic Framework, The Evolution of Complexity, represents the cul￾mination of the theoretical journey that began with the primordial Onon field. While
Volumes 1 and 2 laid the foundations of Ononic physics and cosmogenesis, this volume
ventures into the profound domain of complexity itself — the intricate tapestry that binds
microphysics, cosmology, and life into a coherent Ononic narrative.
The central theme of this volume is the emergence of structure and order from the
primordial simplicity of the Onon field. From the earliest excitations that gave rise to
particles, forces, and fields, to the formation of galaxies, stars, black holes, and ulti￾mately life and consciousness, we trace the natural progression of complexity as dictated
by Ononic dynamics. Along the way, Volume 3 systematically addresses and resolves the
deepest paradoxes that have long challenged physicists: the quantum measurement prob￾lem, the black hole information paradox, the arrow of time, the cosmological constant
problem, matter–antimatter asymmetry, and issues of fine-tuning and hierarchy. These
resolutions are not imposed externally but arise organically from the principles of the
Ononic framework.
In addition to bridging microphysics and cosmology, this volume explores the higher￾order manifestations of complexity, showing how life and consciousness can be understood
as emergent Ononic phenomena. This perspective provides not only a theoretical unifi￾cation but also a philosophical insight into the fundamental nature of reality: complexity
itself is an inevitable expression of Onon.
Volume 3 is designed to be self-contained, offering a comprehensive treatment of
the evolution of complexity from first principles. It completes the theoretical core of
the Ononic Framework, setting the stage for Volume 4, which will focus on practical
applications and Ononic engineering. The structure of this volume emphasizes clarity,
rigor, and continuity with the previous volumes, ensuring that the reader can follow the
intricate journey from the pre-spacetime Onon field to the structured, conscious universe
we inhabit.
It is my hope that this volume not only illuminates the dynamics of complexity but
also inspires deeper exploration into the limitless possibilities of Ononic physics. As with
1
2 CONTENTS
the preceding volumes, every concept, equation, and insight presented here is the product
of a synthesis of rigorous reasoning and imaginative exploration, and represents a step
toward a more complete understanding of the cosmos.
K. Gowtham Siddharth (KGS)
Author and Founder of the Ononic Framework

Traditional physics treats spacetime as the fundamental stage upon which matter and energy evolve. Yet within this stage, we consistently observe local negentropic pockets-galaxies, superconductors, biological life, and consciousness itself. These phenomena resist the entropic drift that spacetime's rules seem to prescribe. From a System|Ethics (S|E) standpoint, this suggests that spacetime is not fundamental but emergent, arising as a projection of deeper informational recursion. We propose a formal distinction: spacetime is finite because it is emergent, while recursive information processes are infinite because they are fundamental.

The measurement problem in quantum mechanics is traditionally addressed through wavefunction collapse or interpreted by many-worlds arguments, both of which lack a fundamental physical mechanism. In this work, we propose a minimal phenomenological extension to the Dirac equation by introducing a spontaneous symmetry breaking (SSB)-induced stochastic nonlinear term. Combined with decoherence theory, this mechanism provides a consistent physical pathway from linear quantum superposition to macroscopically definite outcomes, without invoking collapse postulates or philosophical many-worlds speculation. Numerical estimates suggest that the effect is negligible at microscopic scales but dominant at macroscopic scales, matching observed physical reality.

The measurement problem in quantum mechanics is traditionally addressed through wavefunction collapse or interpreted by many-worlds arguments, both of which lack a fundamental physical mechanism. In this work, we propose a minimal phenomenological extension to the Dirac equation by introducing a spontaneous symmetry breaking (SSB)-induced stochastic nonlinear term. Combined with decoherence theory, this mechanism provides a consistent physical pathway from linear quantum superposition to macroscopically de nite outcomes, without invoking collapse postulates or philosophical many-worlds speculation. Numerical estimates suggest that the e ect is negligible at microscopic scales but dominant at macroscopic scales, matching observed physical reality.

We study the effect of quantum fluctuations on the dynamics of a quasione-dimensional Bose gas in an optical lattice at zero-temperature using the truncated Wigner approximation with a variety of basis sets for the initial fluctuation modes. The initial spatial distributions of the quantum fluctuations are very different when using a limited number of plane-wave (PW), simple-harmonic-oscillator (SHO) and selfconsistently determined Bogoliubov (SCB) modes. The short-time transport properties of the Bose gas, characterized by the phase coherence in the PW basis are distinct from those gained using the SHO and SCB basis. The calculations using the SCB modes predict greater phase decoherence and stronger number fluctuations than the other choices. Furthermore, we observe that the use of PW modes overestimates the extent to which atoms are expelled from the core of the cloud, while the use of the other modes only breaks the cloud structure slightly which is in agreement with the experimental observations .

Spin qubits are at the heart of technological advances in quantum processors and offer an excellent framework for quantum information processing. This work characterizes the time evolution of coherence and nonclassical correlations in a two-spin XXZ Heisenberg model, from which a two-qubit system is realized. We study the effects of intrinsic decoherence on coherence (correlated coherence) and nonclassical correlations (quantum discord ), taking into consideration the combined impact of an external magnetic field, Dzyaloshinsky-Moriya (DM) and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interactions. To fully understand the effects of intrinsic decoherence, we suppose that the system can be prepared in one of the two well-known extended Werner-like (EWL) states. The findings show that intrinsic decoherence leads the coherence and quantum correlations to decay and that the behavior of the aforementioned quantum resources relies strongly on the initial EWL state parameters. We, likewise, found that the two-spin correlated coherence and quantum discord; become more robust against intrinsic decoherence depending on the type of the initial state. These outcomes shed light on how a quantum system should be engineered to achieve quantum advantages.

A model of a quantum measurement process is presented: a system consisting of a qubit in a superposition interacts with a measuring apparatus consisting of a N qubit state. Looking at the emerging, effective description of the apparatus given by the action of a coarse graining channel, we have been able to recover information about the superposition coefficients of the system. We have also been able to visualize the death of quantum correlations between system and apparatus and the death of quantum coherences in the apparatus' effective state, in the limit of a strong coarse graining action. A situation akin to decoherence, although it is not necessary to evoke any interaction with the surrounding environment.

We study the decoherence of a renormalised quantum field theoretical system. We consider our novel correlator approach to decoherence where entropy is generated by neglecting observationally inaccessible correlators. Using out-of-equilibrium field theory techniques at finite temperatures, we show that the Gaussian von Neumann entropy for a pure quantum state asymptotes to the interacting thermal entropy. The decoherence rate can be well described by the single particle decay rate in our model. Connecting to electroweak baryogenesis scenarios, we moreover study the effects on the entropy of a changing mass of the system field. Finally, we compare our correlator approach to existing approaches to decoherence in the simple quantum mechanical analogue of our field theoretical model. The entropy following from the perturbative master equation suffers from physically unacceptable secular growth.

The measurement problem is an ontological fault line in modern physics. If wavefunction collapse is a real physical process, quantum theory must be modified. If collapse is only apparent, unitarity survives globally and classicality emerges from entanglement with environments. We propose a decisive and falsifiable program that reduces this debate to a single operational quantity: the coherence time τ of a controlled spatial superposition of a mesoscopic object, measured at fixed mass m and separation ∆x under precisely bounded environmental noise. Three rival ontological classes predict incompatible, testable timescales and scalings. Gravity-driven collapse (Diósi-Penrose) yields τ DP ∼ ℏ ∆x/(Gm 2), a mass law τ ∝ m-2 at fixed ∆x. Objective collapse models (e.g., GRW/CSL) predict Poissonian localizations with an effective rate Λ ≈ N λ f (∆x/r c) that scales with the number of constituents N ∝ m, hence τ GRW ∝ m-1 for ∆x ≫ r c. Unitary quantum mechanics with environmental decoherence predicts τ decoh = 1/Γ with Γ set by a tunable bath spectral density, typically a mild geometry-driven law (e.g., τ ∝ m-2/3 in scattering-dominated regimes). Collapse models are irreversible and forbid revivals; unitary decoherence admits engineered revivals under dynamical decoupling. We specify a concrete interferometer with optically levitated nanospheres of mass m ∼ 10-14 kg and separation ∆x ∼ 1 µm at pressures < 10-11 mbar and cryogenic temperatures ≲ 1 K. At these parameters the three classes separate by orders of magnitude in τ and by distinct log-log slopes versus m. One number decides: the measured τ. Millisecondscale decay supports gravity-induced collapse; hour-scale stability refutes canonical GRW at mesoscopic mass; coherence revivals confirm unitarity with bath-induced dephasing. The result is not another interpretation, it is an empirical verdict.

We use the Nonequilibrium Green's Function (NEGF) method to perform real-time simulations of the ultrafast electron dynamics of photoexcited donor-C60 complexes modeled by a Pariser-Parr-Pople Hamiltonian. The NEGF results are compared to mean-field Hartree-Fock (HF) calculations to disentangle the role of correlations. Initial benchmarking against numerically highly accurate time-dependent Density Matrix Renormalization Group calculations verifies the accuracy of NEGF. We then find that charge-transfer (CT) excitons partially decay into charge separated (CS) states if dynamical non-local correlation corrections are included. This CS process occurs in ∼ 10 fs after photoexcitation. In contrast, the probability of exciton recombination is almost 100% in HF simulations. These results are largely unaffected by nuclear vibrations; the latter become however essential whenever level misalignment hinders the CT process. The robust nature of our findings indicate that ultrafast CS driven by correlation-induced decoherence may occur in many organic nanoscale systems, but it will only be correctly predicted by theoretical treatments that include time-nonlocal correlations.

This work introduces the Omnol Metasystem, a formal ontological framework and operating system for reality, grounded in a process-relational paradigm. It addresses the crisis in contemporary biology and medicine stemming from a substance-based metaphysics, which views organisms as static machines and aging as inevitable hardware decay. We deconstruct the orthodox "Hallmarks of Aging," arguing that aging is primarily a "software bug" in the default biological operating system, supported by evidence from organisms exhibiting negligible senescence. The core of the system is built upon five axioms, starting with Perception (∅) as the primary act of distinction, leading to the Dynamic Imperative (dR/dt≥0): any system must maintain positive dynamics of its Coherence (R) to exist. This gives rise to the Triadic Engine {Δ, Ω, R}-Chaos/Potential, Order/Form, and Coherence/Relation-which drives reality across all scales. We formalize an eight-level (0-7) fractal ontology, utilizing Category Theory to model emergence as a structure-preserving transformation (functors) between levels, from the Source (∅) to the self-aware agent (Architect, Level 6). The Stabilization Operator (⊗) is introduced to explain the emergence of physical reality from an underlying information field.

We present the first experimental validation of infinite quantum coherence through the Quantum Harmonic Resonance Framework (QHRF) on IBM Quantum superconducting processors. Through comprehensive parameter optimization and scaling analysis across 2-5 qubit systems, we demonstrate sustained coherence levels exceeding 99% on noisy intermediate-scale quantum (NISQ) devices. Our results show optimal performance at frequency f = 0.100 and breathing amplitude b = 0.200, achieving 34.2% enhancement in state concentration over baseline. The infinite coherence protocol maintains 99.40% coherence in 3-qubit systems despite circuit depths exceeding 120 gates. Statistical validation across 10 independent runs confirms reproducibility with coefficient of variation below 0.2%. These findings validate QHRF's theoretical predictions and establish a new paradigm for coherence preservation in quantum computing.

Description
We introduce an operational and falsifiable framework to distinguish among H1 (transport), H2 (local selection/reflection), and H3 (hybrid) in superposition experiments. As a compact figure of merit we use the deviation from Tsirelson’s bound, ΔS ≡ 2√2 − S ≈ k δ₀² (k≈0.3536), where δ₀ depends on the path length L and a detector-side environment knob χ. Minimal models:
H1: δ₀(L,χ)=α(1−e^{−L/Lc})+εχ; H2: δ₀(L,χ)=βχ; H3: δ₀(L,χ)=βχ+α(1−e^{−L/Lc}).
We provide forecast curves, an AIC/BIC/WAIC model-selection workflow (with robust fits), platform-agnostic protocols for photonics, trapped-ion/neutral-atom, and superconducting qubits, null tests, and a falsification map. The program naturally connects to the Quantum Reflection Model (QRM).

The Hubble tension remains one of the most pressing anomalies in modern cosmology. Two competing explanations have emerged: (1) a rotating Universe model proposed by Szapudi et al. (2025), which suggests the Universe rotates once every ~500 billion years, and (2) the TGIU (Universal Gravito-Informational Theory) correction, which attributes the discrepancy to systematic underestimation of cosmic distances due to pockets of dark matter, ghost dark matter, and dark energy affecting light propagation. This article compares both frameworks through the lens of Occam's razor. While the rotation model introduces only one additional parameter and resolves the Hubble tension, the TGIU framework provides a unifying explanation for multiple anomalies, including CMB anisotropies, gravitational wave echoes, and non-homogeneous cosmic structures. We argue that TGIU, though more complex, offers the simpler explanation in the broader scientific sense: it accounts for more phenomena without invoking unobservable global symmetries.

In this work, we investigate the dynamics of quantum correlations captured by entropic and geometric measures of discord under the influence of dissipative channels for widely used two qubit X state with maximally mixed marginals. Identifying the phenomena of the preservation, sudden change and revival of quantum correlation quantifiers, we determine their hierarchy of robustness under memory-less decoherence channels. We find the analytical expressions of decoherence probabilities at which sudden change occur when the first qubit is subjected to the decoherence channels for multiple times. We deduce the exact analytical expression for the preservation time, the duration for which quantum correlations remain unaffected by noise. We also find the time duration between the two sudden change phenomena of trace distance discord, and show its inverse proportionality to the number of times a channel operates on the state. The constraint relations of decoherence probabilities corresponding to the sudden change region and preservation phenomena are obtained when both the qubits are subjected to locally independent quantum channels for multiple times. Our investigation provides physical insights and possible practical implementation of the discord measures in noisy environments.

Quantum mechanics has always proven emphatically as one of the main cornerstones in all of the science since its inception. Initially, it has also faced many skeptics from many scientific proponents of its complete description of reality. However, John Bell once devised a theorem on quantitative grounds to show how local realism is expressed in quantum mechanics. As Bell's inequality claims the non-existence of local hidden variable theories, on the same footing we have Leggett-Garg's Inequality (LGI), which sets a quantum-classical limit for temporally correlated quantum systems. In the context of particle physics specially in the field of neutrino and meson oscillations, one can conveniently implement LGI to test the quantum foundations at the probability level. Here, we discuss the significant LGI violation characteristics in B-and K-mesons oscillations taking into account their decoherence, CP violation and decay parameters. Also, we discuss and comment on the behavior or effect of decoherence and decay widths playing out from the perspective of LGI by taking their available values from various experiments. This may help us to understand the underlying principles and techniques of neutral meson open quantum systems.

We consider single photon realization of generalized N -qubit perfect W-states which are suitable for perfect teleportation and superdense coding. We propose schemes to generate generalized Nmode single photon perfect W-states and derive entanglement conditions which for single photon states require finding fidelity with generalized N -mode single photon perfect W-states and hence more suitable to detect the genuine entanglement of generalized perfect W-states. Based on the evolution of single photon wavefunction in scalable integrated photonic lattices, we present schemes for the preparation of generalized N -mode single photon perfect W-states at desired propagation distance. The integrated waveguide structures can precisely be fabricated, offer low photon propagation losses and can be integrated on a chip. We consider both planar and ring type waveguide structures for state generation. We derive set of generalized entanglement conditions using the sum uncertainty relations of generalized su(2) algebra operators. We show that any given genuinely entangled N -mode single photon state is a squeezed state of a specific su(2) algebra operator and can be expressed as superposition of a pair of orthonormal generalized N -mode single photon perfect W-states which are eigenstates of that specific su(2) algebra operator. Within the single photon subspace, the eigendecomposition of su(2) algebra operators reduces the generalized entanglement condition to a simplified single photon separability condition. In order to verify the entanglement of given genuinely entangled N -mode single photon state using this condition one has to find the difference between the state fidelities with suitably chosen pair of orthonormal generalized N -mode single photon perfect W-states. Finally, we propose an experimental scheme to verify the entanglement using the proposed conditions. This scheme uses a photonic circuit that consists of directional couplers, and phase shifters and the same photonic circuit can also be used to generate generalized N -mode single photon perfect W-states. Our results show that optical waveguide structures are ideal platforms for generation and entanglement verification of large N -mode single photon entangled states which could find novel applications in quantum information science.

We investigate the dynamical evolution of genuine multipartite correlations for N-qubits in a common reservoir considering a non-dissipative qubits-reservoir model. We derive an exact expression for the time-evolved density matrix by modeling the reservoir as a set of infinite harmonic oscillators with a bilinear form of interaction Hamiltonian. Interestingly, we find that the choice of two-level systems corresponding to an initially correlated multipartite state plays a significant role in potential robustness against environmental decoherence. In particular, the generalized W-class Werner state shows robustness against the decoherence for an equivalent set of qubits, whereas a certain generalized GHZ-class Werner state shows robustness for inequivalent sets of qubits. It is shown that the genuine multipartite concurrence (GMC), a measure of multipartite entanglement of an initially correlated multipartite state, experiences an irreversible decay of correlations in the presence of a thermal reservoir. For the GHZ-class Werner state, the region of mixing parameters for which there exists GMC, shrinks with time and with increase in the temperature of the thermal reservoir. Furthermore, we study the dynamical evolution of the relative entropy of coherence and von-Neumann entropy for the W-class Werner state.

We investigate the dynamical evolution of multipartite entanglement in tripartite systems with three qubits present in independent thermal reservoirs, modelled as infinite set of quantum harmonic oscillators. We show that the presence of temperature gradient between reservoirs play a significant role in robustness of multipartite correlation against environmental decoherence. Considering a bilinear form of interaction Hamiltonian, an exact expression for time evolved density matrix is presented. Interestingly, it is observed that the preservation duration of genuine multipartite concurrence for GHZ class Werner state increases as the temperature gradient between reservoirs are increased. However, this increase is non-linear and the preservation duration is shown to saturate for large temperature gradients. It is also observed that, for large temperature gradient, there are multiple intervals in which coherence and consequently the tripartite negativity shows robustness (freezing of correlation) against the environmental decoherence for W class Werner states. For the common temperature case, we show that the genuine multipartite concurrence for the GHZ class Werner state decays irreversibly, and the state experiences correlation sudden death, with a rate dependent on spectral density of the reservoirs under consideration. For the Ohmic reservoirs at low temperature, we observe that the state retains initial multipartite correlation upto a characteristic time and then sharply decays to zero with a correlation sudden death. We further investigate the dynamics of tripartite negativity and l1 norm of coherence in the W class Werner states, and show irreversible degradation in these correlations.

We study the generation of single photon perfect W-state. An important aspect of this perfect W-state is that, it can be used for perfect teleportation and superdense coding, which are not achievable with maximally entangled W-state. Our scheme for generation involves entanglement between various path degrees of freedom of a single photon in a compact and weakly coupled integrated waveguide system, which can be fabricated precisely with femtosecond laser direct writing technique. These platforms are interferometrically stable, scalable, less sensitive to decoherence and ensures a very low loss factor of 0.1dBcm -1 during photon propagation and hence are ideal for generation of perfect W-state. In addition to generation of single photon perfect W-state we study its non local properties using theory of local elements of reality.

Quantum correlations between two or more different degrees of freedom of the same particle are sometimes referred to as intraparticle entanglement. In this work, we study these intra-particle correlations between two different degrees of freedom under various decoherence channels, viz. amplitude damping, depolarizing and phase damping channels. We mainly focus on the amplitude damping channel for which we obtain an exact analytical expression for the concurrence of an arbitrary initial pure state. In this channel, we observe the unique feature of entanglement arising from a separable initial state. We also show that this channel allows for a revival of entanglement with increasing damping parameter including from a zero value of the concurrence. We also consider the amplitude damping channel for interparticle entanglement and show that it does not display any of the above-mentioned interesting features. Further, for comparable parameters, the decay of entanglement in the interparticle system is much greater than in the intraparticle system, which we also find to be true for the phase damping and depolarizing channels. Thus, intraparticle entanglement subjected to damping is much more robust than interparticle entanglement.

We report the first experimental realization of perfect W-state in a superconducting qubit based system. In contrast to maximally entangled state, the perfect W state is different in weights and phases of the terms contained in the maximally entangled W-state. The prefect W state finds important applications in quantum information processing tasks such as perfect teleportation, superdense coding, secret sharing etc. The efficiency of generation is quantified by fidelity which is calculated by performing full quantum state tomography. To verify the presence of genuine nonlocality in the generated state, we experimentally perform Mermin&#39;s inequality tests. Further, we have also demonstrated splitting and sharing of quantum information using the experimentally generated state.

The persistence of sub-Planck structure in phase space with loss of coherence is demonstrated in a mixed state, which comprises two terms in the density matrix. Its utility in carrying out Heisenberg-limited measurement and quantum parameter estimation have been shown. It is also shown that the mixed state performs equally well as the compass state for carrying out precision measurements. The advantage of using mixed state relies on the fact that such a state can be easier to prepare and may appear from pure states after partial loss of coherence. We explicate the effect of environment on these sub-Planck structures in the mixed state and estimates the time scale of complete decoherence.

We investigate the effect of common bath decoherence on the qubits of Alice in the usual teleportation protocol. The system bath interaction is studied under the central spin model, where the qubits are coupled to the bath spins through isotropic Heisenberg interaction. We have given a more generalized representation of the protocol in terms of density matrices and calculated the average fidelity of the teleported state for different Bell state measurements performed by Alice. The common bath interaction differentiates the outcome of various Bell state measurements made by Alice. There will be a high fidelity teleportation for a singlet measurement made by Alice when both the qubits of Alice interact either ferromagnetically or antiferromagnetically with bath. In contrast if one of the Alice's qubits interact ferromagnetically and the other anti-ferromagnetically then measurement of Bell states belonging to the triplet sector will give better fidelity. We have also evaluated the average fidelity when Alice prefers non-maximally entangled states as her basis for measurement.

In quantum dots made from materials with nonzero nuclear spins, hyperfine coupling creates a fluctuating effective Zeeman field (Overhauser field) felt by electrons, which can be a dominant source of spin qubit decoherence. We characterize the spectral properties of the fluctuating Overhauser field in a GaAs double quantum dot by measuring correlation functions and power spectra of the rate of singlet-triplet mixing of two separated electrons. Away from zero field, spectral weight is concentrated below 10 Hz, with ∼ 1/f 2 dependence on frequency, f . This is consistent with a model of nuclear spin diffusion, and indicates that decoherence can be largely suppressed by echo techniques.

Controlling decoherence is the most challenging task in realizing quantum information hardware 1-3 . Single electron spins in gallium arsenide are a leading candidate among solidstate implementations, however strong coupling to nuclear spins in the substrate hinders this approach 4-6 . To realize spin qubits in a nuclear-spin-free system, intensive studies based on group-IV semiconductor are being pursued. In this case, the challenge is primarily control of materials and interfaces, and device nanofabrication. We report important steps toward implementing spin qubits in a predominantly nuclear-spin-free system by demonstrating state preparation, pulsed gate control, and charge-sensing spin readout of confined hole spins in a one-dimensional Ge/Si nanowire. With fast gating, we measure T 1 spin relaxation times in coupled quantum dots approaching 1 ms, increasing with lower magnetic field, consistent with a spin-orbit mechanism that is usually masked by hyperfine contributions. Since Loss and DiVincenzo's proposal 1 , the promise of quantum dots for solid state quantum computation has been underscored by the successful initialization, manipulation and readout of electron spins in GaAs systems 5,7-9 . The electronic wave functions in these systems typically overlap with a large number of nuclear spins that are difficult to control and in most cases thermally randomized. The resulting intrinsic spin decoherence rates 4-6 have been successfully reduced by spin-echo techniques 6,10 but require complex gate sequences that complicate multiqubit operations 11 . The prospect of achieving long coherence times in group IV materials with

⎯The possibility of realization of unary and binary quantum logic operations in a system with coherently correlated Kerr cells taking into account the dissipation was considered and established. The time characteristics of the system for realization of quantum logic operations were studied.

We present a novel interpretation of cosmic inflation within the Scale-Time Dynamics framework established in our primary theoretical paper, which redefines inflation not as an event within classical spacetime but as a dynamic process occurring in the 'quantum future.' Building directly on the coherence cascade mechanism and five-dimensional warped spacetime geometry introduced in the main framework, we demonstrate how classical spacetime emerges only after observation-driven crystallization has collapsed quantum possibilities into definite states. This interpretation naturally resolves the horizon and flatness problems through the same cascade dynamics that govern information flow across scales throughout the framework. We derive the cascade wave equation for pre-spacetime inflation directly from the fundamental scale-space propagator introduced in the primary paper, showing how quantum dynamics in the σ-layer lead to observable signatures. Our predictions for harmonic modulations at in the CMB power spectrum, characteristic polarization patterns, and oscillations in gravitational wave spectra follow directly from the bounded discriminatory metric central to the main framework. The continuous creation paradigm emerges naturally from the sampling dynamics at Hz established in the primary theory, suggesting that the Big Bang represents not a singular past event but the ongoing crystallization process fundamental to Scale-Time Dynamics. ℓ = 2 n × 3 m × 30 d 2,3

This paper develops a resonance-based reformulation of the Unified Field Theory within the framework of the Informational-Causal Compression Field (ICCF). Building upon the Compression Source Continuity Principle (CSCP) and the ICCF unified action, we demonstrate that resonance is not an additional axiom of physics but a necessary emergent property of causal compression dynamics. From the microcosm to the macrocosm, stable existence is reinterpreted as the persistence of discrete resonance modes.
At the microscopic level, stable particles are shown to be compression soliton eigenmodes with quantifiable resonance quality factors (QICCF). The stability of electrons, the decay widths of weak bosons, and the confinement of quarks can all be reformulated in terms of resonance dynamics.
At the macroscopic level, informational integration entities (IIEs), such as consciousness and civilizations, are modeled as collective causal resonance systems. We introduce the recursive synchronization index (Γsync) to measure multi-scale resonance coherence, and we demonstrate how deviations from resonance predict systemic collapse (e.g., civilizational heat death).
At the cosmological level, the universe itself is treated as a finite causal resonance cavity bounded by the entropy-sealing horizon. From this perspective, we derive the universe’s fundamental frequency Ω0 ∼ c/RU, establishing a bridge between the smallest Planck-scale causal units and the largest cosmic structures.
This unification allows us to reinterpret quantization, stability, and even consciousness as different manifestations of the Law of Resonance. Resonance thus emerges as the sole and universal criterion for stable existence, binding microphysics, cosmology, and information into one coherent framework.

This paper presents a unified theoretical and experimental framework for detecting the Observer Field Oμ — a hypothesized physical manifestation of consciousness emerging from the Information-Cognitive Compression Field (ICCF) theory.
The Observer Field is generated when an Information-Integration Entity (IIE) performs continuous causal compression to counteract its internal entropy source. We derive the mathematical structure of Oμ​ and predict its measurable consequences on quantum decoherence rates and cosmic microwave background (CMB) anisotropies.
Our results suggest that the presence of Oμ​ produces non-random, reproducible perturbations in both controlled quantum systems and large-scale cosmological data. We propose experimental protocols using superconducting qubits and CMB bispectrum analysis to test these predictions, thereby transforming the question of consciousness from a philosophical speculation into a falsifiable scientific hypothesis.

The interaction of a quantum system with its surroundings has major implications for its dynamical evolution and has the ability to significantly limit our capabilities in exploiting quantum degrees of freedom for advanced applications. Understanding the environment-mediated processes by which quantum mechanical systems decohere and lose their non-classical correlations is of utmost importance and may open avenues yet to be explored in addressing basic physics questions as well as for developing practical quantum technology applications. In parallel, in the emerging field of Quantum Biology, there is a growing body of evidence that in certain bio-molecular complexes, quantum effects dominate over their purely classical correspondents, especially in the case of photo-excited systems for which the surrounding dielectric environment plays an essential role in the system dynamics. Here, we explore the dynamical decoherence of chromophore within a green fluorescent protein coupled to a finite-temperature dielectric environment, a system of significant interest due to its anomalously long coherence lifetimes. We employ the Hierarchical Equations of Motion formalism, a non-perturbative and non-Markovian approach, and focus our study on the degree of coherence displayed by independent green fluorescent protein chromophores and the energy transfer dynamics mediated by the dielectric relaxation of the environment. For different system architectures, we identify several striking features in the dynamics of the chromophore induced by the dielectric relaxation of the environment, resulting in strong memory effects that extend the coherence lifetime of the system. Remarkably, the complex architecture of the green fluorescent protein, which includes a cavity-like structure around the molecular chromophore system, is ideally suited to preserving the coherences in the homo-dimer system. The system dynamics generate a dynamical correlation between the coherent energy transfer between its sub-systems and the entropy production, which can lead to transient reductions in entropy, a unique feature of the non-Markovian nature of the system-environment interaction.

We show that the interaction of surface plasmons with quantum emitters can be described by an effective model that has the same structure as a lossy multimode cavity quantum electromagnetic interaction. This allows the coherent manipulation of quantum emitters dressed by surface plasmons at the nanoscale. We show that strong coupling in quantum plasmonics can be used to mediate efficiently the interaction between emitters via a decoherence-free channel, immune to the strong plasmon dissipation. Efficient and robust population transfer, as well as the deterministic generation of entanglement between emitters are numerically shown. These results pave the way for an efficient use of the quantum plasmonic platform beyond its inherent losses.

We propose a robust and decoherence insensitive scheme to generate controllable entangled states of two three-level atoms interacting with an optical cavity and a laser beam. Losses due to atomic spontaneous transitions and to cavity decay are efficiently suppressed by employing fractional adiabatic passage and appropriately designed atom-field couplings. In this scheme the two atoms traverse the cavity-mode and the laser beam in opposite directions as opposed to other entanglement schemes in which the atoms are required to have fixed locations inside a cavity. We also show that the coherence of a traveling atom can be transferred to the other one without populating the cavity-mode.

We propose a scheme for the construction of a CNOT gate by adiabatic passage in an optical cavity. In opposition to a previously proposed method, the technique is not based on fractional adiabatic passage, which requires the control of the ratio of two pulse amplitudes. Moreover, the technique constitutes a decoherence-free method in the sense that spontaneous emission and cavity damping are avoided since the dynamics follows dark states.

Starting from the detailed description of the single-collision decoherence mechanism proposed by Adami, Hauray and Negulescu in Ref. [2], we derive a Wigner equation endowed with a decoherence term of a fairly general form. This equation is shown to contain well known decoherence models, such as the Wigner-Fokker-Planck equation, as particular cases. The effect of the decoherence mechanism on the dynamics of the macroscopic moments (density, current, energy) is illustrated by deriving the corresponding set of balance laws. The issue of large-time asymptotics of our model is addressed in the particular, although physically relevant, case of gaussian solutions. It is shown that the addition of a Caldeira-Legget friction term provides the asymptotic behaviour that one expects on the basis of physical considerations.

The semantically ambiguous nature of the sign and aspects of non-classicality of elementary matter as described by quantum theory show remarkable coherent analogy. We focus on how the ambiguous nature of the image, text and art work bears functional resemblance to the dynamics of contextuality, entanglement, superposition, collapse and decoherence as these phenomena are known in quantum theory. These quantumlike properties in linguistic signs have previously been identified in formal descritions of e.g. concept combinations and mental lexicon representations and have been reported on in the literature. In this approach the informationalized, communicated, mediatized conceptual configuration-of e.g. the art work-in the personal reflected mind behaves like a quantum state function in a higher dimensional complex space, in which it is time and again contextually collapsed and further cognitively entangled (Aerts et al. in Found Sci 4:115-132, 1999; in Lect Notes Comput Sci 7620:36-47, 2012). The observer-consumer of signs becomes the empowered 'produmer' (Floridi in The philosophy of information, Oxford University Press, Oxford, 2011) creating the cognitive outcome of the interaction, while loosing most of any 'classical givenness' of the sign (Bal and Bryson in Art Bull 73:174-208, 1991). These quantum-like descriptions are now developed here in four example aesthetic signs; the installation Mist room by Ann Veronica Janssens (2010), the installation Sections of a happy moment by David Claerbout (2010), the photograph The Falling Man by Richard Drew (New York Times, p. 7, September 12, 2001) and the documentary Huicholes. The Last Peyote Guardians by Vilchez and Stefani (2014). Our present work develops further the use of a previously developed quantum model for concept representation in natural language. In our present approach of the aesthetic sign, we extend to individual-idiosyncratic-observer contexts instead of socially shared & Jan Broekaert

Decoherent transport in mesoscopic and nanoscopic systems can be formulated in terms of the D'Amato-Pastawski (DP) model. This generalizes the Landauer-Büttiker picture by considering a distribution of local decoherent processes. However, its generalization for multi-terminal setups is lacking. We first review the original two-terminal DP model for decoherent transport. Then, we extend it to a matrix formulation capable of dealing with multi-terminal problems. We also introduce recursive algorithms to evaluate the Green's functions for general banded Hamiltonians as well as local density of states, effective conductances and voltage profiles. We finally illustrate the method by analyzing two problems of current relevance. 1) Assessing the role of decoherence in a model for phonon lasers (SASER). 2) Obtaining the classical limit of Giant Magnetoresistance from a spin-dependent Hamiltonian. The presented methods should pave the way for computationally demanding calculations of transport through nanodevices, bridging the gap between fully coherent quantum schemes and semiclassical ones.

After overviewing argentine Condensed Matter Physics outside the Metropolitan area I will focus on the Loschmidt Echo [LE], a concept developed and pursed at Córdoba. It is the recovered fraction of a localized excitation after a spreading period followed by an imperfect time reversal procedure . In Solid State NMR, the LE has allowed us to quantify the decoherence and irreversibility induced by an uncontrolled environment. Notably complex many-body dynamics makes the system particularly sensitive to environmental disturbances presenting a decoherence rate that becomes perturbation independent beyond some small threshold. These experiments and the theoretical analysis based on the Feynman's path integral, summarized at a tutorial level, fueled the field of dynamical quantum chaos [4]. The quest for a perturbation independent decoherence as an emergent phenomenon in thermodynamic limit, lead us to discuss other dynamical observables that depend non-analytically on the environment strength, i.e. that undergo a quantum dynamical phase transition QDPT . GPU based high performance computing boosts the evaluation of the LE [3], allowing us to asses thermalization and how the Metal-Insulator transition (also a QDPT) emerges in interacting many-body systems.

We study the decay process in an open system, emphasizing on the relevance of the environment's spectral structure. Non-Markovian effects are included to quantitatively analyze the degradation rate of the coherent evolution. The way in which a two level system is coupled to different environments is specifically addressed: multiple connections to a single bath (public environment) or single connections to multiple baths (private environments). We numerically evaluate the decay rate of a local excitation by using the Survival Probability and the Loschmidt Echo. These rates are compared to analytical results obtained from the standard Fermi Golden Rule (FGR) in Wide Band Approximation, and a Self-Consistent evaluation that accounts for the bath's memory in cases where an exact analytical solution is possible. We observe that the correlations appearing in a public bath introduce further deviations from the FGR as compared with a private bath.

Different proposals for adiabatic quantum motors (AQMs) driven by DC currents have recently attracted considerable interest. However, the systems studied are often based on simplified models with highly ideal conditions where the environment is neglected. Here, we investigate the performance (dynamics, efficiency, and output power) of a prototypical AQM, the Thouless motor. To include the effect of the surroundings on this type of AQMs, we extended our previous theory of decoherence in current-induced forces (CIFs) to account for spatially distributed decoherent processes. We provide analytical expressions that account for decoherence in CIFs, friction coefficients and the self-correlation functions of the CIFs. We prove that the model is thermodynamically consistent and we find that decoherence drastically reduces the efficiency of the motor mainly due to the increase in conductance, while its effect on the output power is not much relevant. The effect of decoherence on the current-induced friction depends on the length of the system, reducing the friction for small systems while increasing it for long ones. Finally, we find that reflections of the electrons at the boundary of the system induce additional conservative forces that affect the dynamics of the motor. In particular, this results in the hysteresis of the system and a voltage dependent switching.

We develop and implement a model for decoherence in time-dependent transport. Inspired in a dynamical formulation of the Landauer-Büttiker equations, it boils down into a form of wave function that undergoes a smooth stochastic drift of the phase in a local basis, the quantum-drift (QD) model. This drift is nothing else but a local energy fluctuation. Unlike quantum-jumps (QJ) models, no jumps are present in the density as the evolution is unitary. As a first application, we address the transport through a resonant state |0 that undergoes decoherence. Its numerical resolution shows the equivalence with the decoherent steady-state transport in presence of a Büttiker's voltage probe. In order to test the dynamics we consider two many-spin systems, which are cases of experimental interest, where a local energy fluctuation is a natural phenomenon. A two-spin system is reduced to a two-level system (TLS) that oscillates among |0 ≡ |↑↓ and |1 ≡ |↓↑ . We show that the QD model recovers not only the exponential damping of the oscillations in the low perturbation regime, but also the non-trivial bifurcation of the damping rates at a critical point, i.e., the quantum dynamical phase transition. We also address the spin-wave-like dynamics of local polarization in a spin chain. By averaging over Ns realizations, the QD solution has about half the dispersion respect to the mean dynamics than QJ. By evaluating the Loschmidt echo (LE), we find that the pure states |0 ≡ |↑↓ and |1 ≡ |↓↑ are quite robust against the local decoherence. In contrast, the LE, and hence coherence, decays faster when the system is in a superposition state (|↑↓ ± |↓↑ ) / √ 2, which is consistent with the general trend recently observed in spin systems through NMR. Because of its simple implementation, the method is well suited to assess decoherent transport problems as well as to include decoherence in both one-body and many-body dynamics.

Current induced forces are not only related with the discrete nature of electrons but also with its quantum character. It is natural then to wonder about the effect of decoherence. Here, we develop the theory of current induced forces including dephasing processes and we apply it to study adiabatic quantum motors (AQMs). The theory is based on Büttiker's fictitious probe model which here is reformulated for this particular case. We prove that it accomplishes fluctuation-dissipation theorem. We also show that, in spite of decoherence, the total work performed by the current induced forces remains equal to the pumped charge per cycle times the voltage. We find that decoherence affects not only the current induced forces of the system but also its intrinsic friction and noise, modifying in a non trivial way the efficiency of AQMs. We apply the theory to study an AQM inspired by a classical peristaltic pump where we surprisingly find that decoherence can play a crucial role by triggering its operation. Our results can help to understand how environmentally induced dephasing affects the quantum behavior of nano-mechanical devices.

In this work we attempt to elucidate the nature of conductivity in polymers by taking the acidbase doped polyaniline (PAni) polymer. We evaluate the PAni conductance by using realistic ab initio parameters and including decoherent processes within the minimal parametrization model of D'Amato-Pastawski. In contrast to general wisdom, which associates the conducting state with coherent propagation in a periodic polaronic lattice, we show that decoherence can account for high conductance in the strongly disordered bipolaronic lattice. Hence, according to our results, there is no need of considering a mix model of "conducting" polaronic lattice islands separated by "insulating" bipolaronic lattice strands as is usually assumed for PAni. We find that without dephasing events, even very short strands of bipolaronic lattices are not able to sustain electronic transport. We also include a discussion of specific mechanisms that should be involved in decoherence rates of PAni and relate them with Marcus-Hush theory of electron transfer.