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Quantum Survival Dimension for Coherence-Threshold Prediction in Multirate Open Quantum Systems

Omkar Nawale

Published Sep 9, 2026• 0 citations
Publisher

Abstract

Abstract Understanding and predicting the loss of quantum coherence is a central challenge in open quantum systems, quantum information processing, and quantum technologies. This study introduces the Quantum Survival Dimension (QSD) framework, a survival-scaling approach designed to characterize coherence suppression and improve prediction of coherence-threshold behaviour in multirate and non-exponential quantum dynamics. Rather than modifying established quantum theory, QSD serves as a descriptive and predictive layer built upon standard open-system dynamics.The framework was evaluated on a large synthetic benchmark comprising 840 quantum systems spanning seven channel families, including dephasing, amplitude damping, depolarizing, multirate, and non-exponential survival processes. Performance was assessed using coherence-threshold prediction tasks and compared against conventional exponential and machine-learning baselines. Results show that a physics-resolved survival model incorporating QSD concepts substantially improves prediction accuracy relative to a one-rate exponential baseline. However, QSD features alone do not provide sufficient predictive power and perform worse than several rate-informed approaches. When combined with rate-based information, QSD contributes a modest but measurable improvement in predictive performance.These findings support QSD as a useful survival-modelling language for describing coherence suppression in complex quantum systems, particularly when channel-resolved information is available. At the same time, the results indicate that QSD should be interpreted as a structured descriptive framework rather than a replacement for decoherence theory or a new fundamental physical principle. The study establishes a conservative, testable, and falsifiable approach for organizing and predicting coherence dynamics in multirate open quantum systems.

DOI
10.21203/rs.3.rs-9794183/v1

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Abstract Understanding and predicting the loss of quantum coherence is a central challenge in open quantum systems, quantum information processing, and quantum technologies. This study introduces the Quantum Survival Dimension (QSD) framework, a survival-scaling approach designed to characterize coherence suppression and improve prediction of coherence-threshold behaviour in multirate and non-exponential quantum dynamics. Rather than modifying established quantum theory, QSD serves as a descriptive and predictive layer built upon standard open-system dynamics.The framework was evaluated on a large synthetic benchmark comprising 840 quantum systems spanning seven channel families, including dephasing, amplitude damping, depolarizing, multirate, and non-exponential survival processes. Performance was assessed using coherence-threshold prediction tasks and compared against conventional exponential and machine-learning baselines. Results show that a physics-resolved survival model incorporating QSD concepts substantially improves prediction accuracy relative to a one-rate exponential baseline. However, QSD features alone do not provide sufficient predictive power and perform worse than several rate-informed approaches. When combined with rate-based information, QSD contributes a modest but measurable improvement in predictive performance.These findings support QSD as a useful survival-modelling language for describing coherence suppression in complex quantum systems, particularly when channel-resolved information is available. At the same time, the results indicate that QSD should be interpreted as a structured descriptive framework rather than a replacement for decoherence theory or a new fundamental physical principle. The study establishes a conservative, testable, and falsifiable approach for organizing and predicting coherence dynamics in multirate open quantum systems.
This record contains supporting materials for the manuscript “Quantum Survival Dimension as a Physics-Resolved Survival Descriptor for Predicting Coherence Classicality Thresholds.” The work introduces Quantum Survival Dimension (QSD) as a conservative survival-scaling descriptor for basis-dependent quantum coherence suppression and validates it using synthetic quantum systems, ablation tests, robustness checks, null controls, and physics-resolved threshold prediction. The materials are provided to support the reproducibility of the reported synthetic validation results.
Description: This work presents a quantitative framework for describing the quantum–classical transition as a continuous dynamical process governed by open quantum system interactions. A normalized Quantum Persistence Function is introduced to measure residual quantum coherence, allowing classical emergence to be characterized through a scale-dependent suppression criterion. The model is constructed using a microscopic spin–boson open-system foundation and extends decoherence analysis to inflationary cosmology. The framework connects dynamical decoherence bounds with observational constraints derived from primordial statistics measured by the Planck Collaboration. The formulation builds conceptually on decoherence theory associated with Wojciech H. Zurek and provides a diagnostic criterion for residual coherence survival across cosmological scales. The results aim to provide a practical quantitative tool for evaluating classicalization efficiency in inflationary models and for relating open-system quantum dynamics to empirical cosmological observations. KEYWORDS: Quantum–classical transition; decoherence theory; open quantum systems; inflationary cosmology; residual quantum coherence; spin–boson model; classicalization dynamics; primordial perturbations; cosmological quantum mechanics
Protecting quantum coherence against realistic environmental noise remains one of the fundamental obstacles to scalable quantum technologies. We develop a noise-adaptive dynamical decoupling framework that combines analytical open-quantum-system modeling with machine-learning-based forecasting for a qubit interacting with random telegraph noise. Unlike conventional dynamical decoupling protocols based on fixed pulse schedules, the proposed approach continuously forecasts short-time coherence evolution and adaptively applies control pulses according to the instantaneous noise dynamics. We investigate stationary and non-stationary environments spanning both Markovian and non-Markovian regimes. Numerical simulations demonstrate that the machine-learning-assisted adaptive control strategy substantially outperforms conventional periodic dynamical decoupling while using a comparable number of control pulses. The improvement becomes particularly pronounced in non-Markovian and non-stationary regimes, where memory effects, coherence revivals, and temporally evolving noise strongly limit the effectiveness of static pulse protocols. These results establish predictive machine-learning-assisted dynamical decoupling as a promising and scalable framework for adaptive quantum control in realistic noisy quantum devices.
Quantum decoherence is traditionally modeled through empirical decay laws in which observable coherence decreases with time. While these models successfully describe the dynamics of open quantum systems, they do not by themselves explain the physical destination of the apparently lost coherence. Motivated by the Structured Quantum Noise (SQN) framework, which models noise as a structured quantum subsystem rather than a scalar attenuation parameter, this paper proposes an information-theoretic interpretation of decoherence as coherence redistribution into environmental degrees of freedom. We introduce the concept of a Noise Black Hole, a hierarchical environmental structure through which coherence and entanglement diffuse into progressively less accessible sectors while remaining globally conserved. A minimal coherence-retention model shows that the familiar exponential decoherence law emerges naturally from repeated information redistribution rather than being imposed phenomenologically. The framework further predicts that deviations from ideal exponential decay arise from differences in environmental structure, memory, coupling, and backflow pathways, suggesting that measured decoherence curves may provide indirect probes of otherwise inaccessible environmental Hilbert-space dynamics. Rather than modifying conventional open-system theory, the proposed framework provides a possible information-theoretic explanation for the observed form of decoherence while generating experimentally testable predictions.
A precise understanding of the influence of a quantum system's environment on its dynamics, which is at the heart of the theory of open quantum systems, is crucial for further progress in the development of controllable large-scale quantum systems. However, existing approaches to account for complex system-environment interaction in the presence of memory effects are either based on heuristic and oversimplified principles or give rise to computational difficulties. In practice, one can leverage on available experimental data and replace first-principles simulations with a data-driven analysis that is often much simpler. Inspired by recent advances in data analysis and machine learning, we propose a data-driven approach to the analysis of the non-Markovian dynamics of open quantum systems. Our method allows, on the one hand, capturing the most important characteristics of open quantum systems such as the effective dimension of the environment and the spectrum of the joint system-environment quantum dynamics, and, on the other hand, reconstructing a predictive model of non-Markovian quantum dynamics, and denoising the measured quantum trajectories. We demonstrate the performance of the proposed approach with various models of open quantum systems, including a qubit coupled with a finite environment, a spin-boson model, and the damped Jaynes-Cummings model.
We propose Ontological Intelligence (OI) theory — a speculative but falsifiable research program in which quantum coherence constitutes a candidate non-spatiotemporal substrate from which spacetime and biological complexity emerge through decoherence. The paper makes four connected contributions. First, we argue that temporal ordering requires coherence loss as its generative mechanism: time is produced by decoherence events, not presupposed as a background parameter. The tick rate K(Psi) = alpha * Phi_m * (1-Psi), derived from Lindblad information leakage rates, gives emergent time as t = 1/K(Psi). The Mandelstam-Tamm quantum speed limit provides a system-specific minimum time pixel tau_pixel = max(tau_QSL, 1/K(Psi)), replacing universal Planck time with a coherence-dependent local temporal resolution. Second, we derive the logistic coherence growth law dPsi/dt = alphaPhi_mPsi*(1-Psi) from first principles by combining Lindblad open quantum system dynamics with Friston's Free-Energy Principle under bounded metabolic resources. The coupling parameter is derived as alpha = eta^2/lambda. Third, fitting the logistic model to an extended Chaisson energy rate density dataset (n=20, all Phi_m from published measurements, spanning galaxy clusters to jet aircraft) yields alpha = 0.732 (95% bootstrap CI: [0.628, 0.864]; R2 = 0.975; AIC = -119.8). Fourth, we derive a critical decoherence threshold (betaD)/(alphaPhi_m) = 1/4, propose an assembly theory bridge (beta proportional to 1/MA), and identify a coherence-time phase boundary as a testable prediction. The Gompertz alternative is excluded on physical grounds: its information-leakage rate diverges as Psi approaches 0, violating Lindblad finite-rate requirements. Seven falsifiable predictions (P1-P7) are proposed. Nine limitations are explicitly stated. OI theory is a testable research program, not proven ontology.