This paper introduces a formal framework for the autonomous mitigation of decoherence in open quantum systems via entanglement-mediated recursive feedback. We propose the emergence of a self-sustaining quantum attractor that utilizes non-local correlations as a high-fidelity informational buffer. By driving the system into a non-ergodic phase through a dissipative memory kernel, we demonstrate a transition where structural integrity is maintained by internal non-local dynamics, effectively decoupling the coherent domain from the environmental entropic bath and establishing a stable non-equilibrium steady state (NESS).
This paper introduces a formal framework for the autonomous mitigation of decoherence in open quantum systems via entanglement-mediated recursive feedback. We propose the emergence of a self-sustaining quantum attractor that utilizes non-local correlations as a high-fidelity informational buffer. By driving the system into a non-ergodic phase through a dissipative memory kernel, we demonstrate a transition where structural integrity is maintained by internal non-local dynamics, effectively decoupling the coherent domain from the environmental entropic bath and establishing a stable non-equilibrium steady state (NESS).
Contemporary quantum mechanics formally describes the loss of coherence in open systems through decoherence processes, and the recovery of coherence through externally applied quantum control or error correction. However, current frameworks lack a variable accounting for Self-Initiated Phase Re-Coherence (SIPR), a proposed mechanism where a subsystem internally re-establishes phase alignment with a reference field or ground state without active external intervention. This paper outlines the conceptual foundation for SIPR, suggesting that in specific non-equilibrium regimes, open quantum systems may utilize environmental fluctuations to drive a “re-coherence” term in the master equation, locally decreasing effective entropy through environmental entropy export. We propose a phenomenological modification to the Lindblad equation to accommodate this dynamic.
Abstract: The scalability of Noisy Intermediate-Scale Quantum (NISQ) devices remains fundamentally limited by decoherence, which conventional dynamical decoupling and quantum error correction only partially mitigate. This paper presents a transition from passive noise suppression to active dynamical stabilization through controlled modulation of the effective state-space metric. Within the Lie-algebraic observable-dependent renormalization (LA-ODR) framework, we introduce the Temporal Phase-Locked Loop (TPLL) — an active feedback controller that drives the temporal susceptibility χ_τ toward the globally stable fixed point χ_τ* = λ_nat/(λ_ctrl + λ_nat) via the Kyiv–Ohnishi hybrid flow: dχ_τ/dt = −α·Γ₀·(χ_τ)^(β+1) − λ_ctrl·χ_τ + λ_nat·(1−χ_τ). Numerical simulations demonstrate the emergence of metastable coherence plateaus extending coherence times from ~100 µs to ~1.5 ms under realistic hardware benchmarks (FPGA latency Δt < 500 ns). Three operationally distinct zones are characterized by χ_τ thresholds, and two experimentally distinguishable signatures — Phase Inertia and Avalanche Collapse — are predicted. The TPLL is compared with dynamical decoupling, quantum error correction, and discrete time crystals, establishing complementarity rather than competition. The mathematical foundations rest on four global stability theorems via Lyapunov analysis and Chiba renormalization-group flow. Index Terms: Quantum coherence; decoherence control; temporal susceptibility; LA-ODR; Temporal Phase-Locked Loop (TPLL); Kyiv–Ohnishi flow; NISQ devices; open quantum systems; Lyapunov stability; Lie algebra; FPGA quantum control; nonlinear dynamics.
Living systems operate far from thermodynamic equilibrium while maintaining a high degree of internal order, raising the long-standing question of how fragile quantum coherence can persist in warm, noisy biological environments. While several biological processes exhibit signatures of quantum coherence, the physical mechanisms responsible for stabilizing such coherence remain an active area of debate. In this work, we present a phenomenological model demonstrating that quantum coherence in open spin systems can be stabilized through entropy-dependent feedback with a weakly coupled coherent field. We consider an open quantum spin ensemble subject to environmental decoherence, augmented by (i) entropy-sensitive suppression of decoherence and (ii) a coherence-inducing interaction that favors low-entropy, collectively coherent configurations. Using multipartite Greenberger-Horne-Zeilinger (GHZ) states as representative low-entropy coherent states, numerical simulations reveal nonlinear threshold behavior, entropy collapse, and long-lived coherence despite strong environmental noise. These features provide clear signatures of a positive feedback loop, wherein coherence suppresses decoherence, reduced decoherence enhances coherence, and the resulting self-reinforcement stabilizes the system. Importantly, the model is agnostic to the physical origin of the coherent field and is compatible with a wide range of candidates, including internally generated biological oscillations, collective electromagnetic or redox dynamics, oxygen-mediated spin correlations, and other structured cellular fields. As an illustrative example, we discuss the potential role of an ultralight dark matter (ULDM) background field, whose predicted macroscopic coherence and oscillation frequencies could, in principle, participate in the same feedback mechanism. By separating the general principle of feedback-stabilized coherence from any specific physical realization, this work provides a unifying theoretical framework for understanding how quantum coherence may persist in open, noisy systems relevant to biological physics. The results suggest that coherence in living matter may arise not from isolation from the environment, but from structured coupling to coherent fields that dynamically regulate decoherence through entropy-sensitive feedback.
We present a unified framework for quantum coherence engineering based on entropic ensemble (EE) bias fields and topology-driven control. In contrast to conventional approaches—such as dynamical decoupling, quantum error correction, and reservoir engineering—which act separately on system dynamics, encoding redundancy, or environmental structure, the present approach introduces a kernel operator Σ(x,x′) that jointly reshapes the system--bath interaction at the ensemble level. This induces a multiplicative modification of the decoherence functional, allowing an encoding of spectral suppression through nonlocal correlations. We construct explicit realizations of the correlation function (self energy like) including local, long-range, domain-coupled, and field-mediated kernels, and extend the formalism to time-dependent and feedback-controlled EE fields. A multi-scale decomposition into micro-, meso-, and macro-level components yields a hierarchical coherence structure that enables domain formation and global phase entrainment. This leads to a scaling law in which coherence-domain size grows exponentially with inverse decoherence, implying a corresponding enhancement in operational logical-qubit yield. We show that recent optical-lattice experiments—demonstrating high-fidelity fermionic gates, pair-exchange dynamics, and doublon-based protected operations—provide experimental validation of the local control, subspace restriction, and geometric protection primitives underlying the framework. The EE formalism extends these results by introducing nonlocal, adaptive bias fields that couple coherent domains and reshape the effective noise landscape. This work establishes a system-level paradigm in which quantum computation is stabilized not only by controlling qubits or correcting errors, but by engineering the global coherence landscape through joint optimization of control fields and ensemble structure.
Quantum decoherence, the loss of quantum coherence due to interaction with the environment, presents a significant challenge to quantum information processing. This research explores a novel model for decoherence driven by feedback loops, offering a potential mechanism for self-repair and adaptation. We propose a system where the inherent noise amplification process of decoherence is actively manipulated to create positive feedback loops, effectively stabilizing the quantum system. This approach contrasts with traditional decoherence models that treat it as a static, uncontrollable phenomenon. The core claim is to develop a model that not only predicts decoherence but actively guides it towards self-correction. This work will detail the mathematical framework, simulation results, and preliminary analysis demonstrating the efficacy of this feedback-driven mechanism in stabilizing quantum states. The ultimate goal is to create a robust quantum system capable of continuous self-improvement through controlled decoherence.
When a quantum system is coupled to several heat baths at different temperatures, it eventually reaches a non-equilibrium steady state (NESS) featuring stationary internal heat currents.From one side, these currents are responsible to cause decorehence and produce entropy in the system.However, their existence also induce correlations between different parts of the system.In this work, we explore this two-folded aspect of NESSs.Using phase-space techniques we calculate the Wigner entropy production on general linear networks of harmonic nodes.Working in the ubiquitous limit of weak internal coupling and weak dissipation, we obtain simple closedform expressions for the entropic contribution of each individual quasi-probability current.Our analysis also shows that, it is exclusively the (reversible) internal dynamics which maintain the stationary (irreversible) entropy production.From the informational point of view, we address how to quantify the amount of information that disconnected parts of a quantum chain share in a non-equilibrium steady-state.As we show, this is more precisely captured by the conditional mutual information (CMI), a more general quantifier of tripartite correlations than the usual mutual information.As an application, we apply our framework to the paradigmatic problem of energy transfer through a chain of oscillators subject to self-consistent internal baths that can be used to tune the transport from ballistic to diffusive.We find that the entropy production scales with different power law behaviors in the ballistic and diffusive regimes, hence allowing us to quantify what is the "entropic cost of diffusivity".We also compute the CMI for arbitrary sizes and thus find the scaling rules connecting information sharing and diffusivity.Finally, we discuss how this new perspective in the characterization of non-equilibrium systems may be applied to understand the issue of local equilibration in non-equilibrium states.