Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Entropic Ensemble Bias Fields and Topological Coherence Engineering for Scalable Quantum Computation

fredrick michael

Published May 3, 2026• 0 citations
Publisher

Abstract

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 $\Sigma(x,x')$ 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.

DOI
10.5281/zenodo.20011307

Related papers

Coherence conservation via global coupling: Toward decoherence-free scalable quantum computation

Zhen Su

Decoherence stands as the fundamental bottleneck limiting the physical realization of large-scale fault-tolerant quantum computation. Conventional paradigms rely on passive strategies of environmental isolation and post-hoc quantum error correction, inherently bounded by Markovian approximation, weak-coupling assumptions and prohibitive physical qubit overhead. Breaking away from the dissipative preset of traditional open quantum systems, this work establishes a global system-environment closed dynamical framework with rigorous coherence conservation. Without Markovian coarse-graining or thermal bath approximation \cite{1,5}, we derive the exact non-Markovian reduced dynamic equation and present the necessary and sufficient coupling conditions for strictly conserved quantum coherence. We rigorously prove that decoherence is not an intrinsic fundamental law of quantum mechanics, but an emergent consequence of specific interaction structures and artificial approximation constraints. By constructing structured system-environment coupling Hamiltonians, coherent decay can be frozen at the dynamical root, achieving intrinsic decoherence suppression without error correction, topological quasiparticles or magic state distillation. Numerical simulations verify that coherence remains strictly constant under strong environmental coupling for the proposed coupling scheme, in sharp contrast to conventional decaying dynamics. This work reconstructs the underlying paradigm of open quantum systems, eliminates the decoherence bottleneck at the fundamental level, and provides a novel theoretical route toward large-scale, low-overhead, universal fault-tolerant quantum computation.

•May 16, 2026•0 citations

Reinforcement learning from demonstration for robust control of superconducting qubits: Decoherence suppression via environmental engineering

Chafaa Hamrouni, LEILA ABDELGADER

This work develops a control-oriented theoretical framework for the manipulation of transient emission spectra and field-state purity in a qubit interacting with a broadband squeezed reservoir. We model the joint qubit-field dynamics using a time-resolved open quantum system formalism. This establishes a direct, quantitative connection between transient spectral characteristics, quantum purity evolution, and controllable system parameters. The analysis reveals that nonclassical reservoir properties, particularly squeezing-induced correlations, strongly influence both spectral deformation and coherence redistribution during the early-time dynamics. Building on this foundation, the work explores practical control strategies aimed at engineering the system’s dynamical response. Pulse shaping and time-dependent modulation of qubit-reservoir coupling offer effective control tools. These regulate spectral broadening, suppress unwanted decoherence, and accelerate convergence toward stabilized operating regimes. In addition, feedback-assisted qubit probing protocols are investigated as a means of monitoring and controlling field purity while minimizing measurement back-action on the squeezed mode. Our results show that well-designed control loops can balance information extraction and disturbance. This enables efficient regulation of nonclassical field properties. The proposed approach highlights transient spectral measurements as a powerful diagnostic and control resource, linking observable emission features to underlying quantum correlations and purity dynamics. From an engineering perspective, the framework offers practical guidelines. These guide the design of feedback-stabilized quantum emitters and reservoir-engineered coherence control. These findings are directly relevant to emerging quantum technologies, including cavity and circuit quantum electrodynamics, quantum sensing, and quantum communication systems operating in nonclassical environments.

Advances in Differential Equations and Control Processes•Mar 17, 2026•1 citation

Environmental Memory as a Control Resource for Quantum Coherence

Philip Rey

Environmental Memory as a Control Resource for Quantum Coherence Abstract The dominant paradigm in quantum technologies relies on suppressing environmental interactions to approximate a Markovian bath. While effective for isolated components at cryogenic temperatures, this strategy faces scaling and energetic constraints. Here we propose an alternative control framework in which structured environmental correlations are reconstructed and actively exploited. Using a memory-kernel description of open-system dynamics, we show that control fields can be designed to selectively sample stable spectral features of the environment, transforming it from a source of decoherence into a phase reference. This leads to a falsifiable prediction: a localized “coherence ridge” in the control landscape, where the effective coherence time increases under phase-matched driving. We formulate experimental protocols and mechanism- breaking ablations that distinguish genuine memory-assisted stabilization from drift or estimator bias. The results recast robustness as synchronization with environmental memory rather than isolation from noise.

•May 6, 2026•0 citations

Quantum Phase Machines. Natural Error Correction for Extended Domain Quantum Computing.

David Andrew Sinclair

Quantum Phase Machines argues that the central obstacle to scalable quantum computing is not noise, materials, or fabrication — but the unit of information itself.After two decades of engineering progress, superconducting quantum processors still rely on fragile single-particle quantum states protected by massive error-correction overheads. This book proposes a different approach: encode information in the collective phase of macroscopic superconducting domains rather than in individual qubits. By exploiting the intrinsic rigidity of phase-locked Cooper pair ensembles, it suggests that error suppression can be achieved natively at the hardware level, without the exponential overhead of quantum error-correcting codes.The argument is developed in four parts. Part I reframes the decoherence problem in engineering terms and introduces the dynamic impedance principle underlying collective robustness. Part II proposes a physical model of structured photons and electrons that reinterprets superconductivity, entanglement, and coherence as geometric properties of extended electromagnetic systems. Part III defines the Temporal Bit (T-bit) architecture and its gate operations using existing Josephson-junction technology. Part IV presents an experimental roadmap with falsifiable predictions and concrete device proposals.Written for physicists and engineers fluent in Maxwell’s equations and solid-state physics, Quantum Phase Machines offers a radical but testable alternative to orthodox quantum computing architectures. Whether ultimately confirmed or refuted, its central claim is precise: scalable quantum computation will require exploiting collective physical structure, not merely protecting fragile quantum states.

•Feb 1, 2026•0 citations

Emergence of Informational Order in Quantum Dynamics: A Framework for Observer Coupling, Coherence, and Entropy Suppression in Probabilistic Quantum Fields

Ajay Hagan

Modern quantum theory offers powerful insights into superposition, entanglement, and decoherence, yet lacks a unifying treatment of information flow, observer participation, and entropy stability within dynamical systems. In this work, we introduce a novel framework based on \textit{probabilistic tensor fields}-a formulation in which quantum evolution, informational geometry, and observer-phase interaction co-emerge from a unified structure. The system is described by a dynamic field $\Psi_{\mu\nu}$, composed of a coherent geometric background $\langle G_{\mu\nu} \rangle$ and a fluctuating informational term $\sigma_{\mu\nu}$. The observer is embedded as a phase function $\phi_{\text{observer}}$, dynamically interacting with the field to generate localized coherence.This coupling induces entropy suppression, spontaneous convergence (measurement), and classical pattern emergence-without invoking wavefunction collapse. Simulations reveal field-phase locking, entropy decay, vacuum energy damping, and the formation of stable memory attractors through standing-wave coherence. These results provide a new perspective on the quantum-to-classical transition, suggest a field-based alternative to gate-based computation, and offer a mathematically consistent path toward entropy-regulated dynamics. Recent experimental platforms support programmable phase dynamics and coherence engineering \cite{Bloch2008, Indiveri2015}, enabling physical analogs to IOQD simulations. Thereby, we position IOQD as a coherence-driven, phase-adaptive field computation model extending quantum machine learning beyond variational circuits and gate-based logic into non-symbolic, dynamic attractor learning systems.

•May 8, 2025•0 citations

Quantum Adaptive Topological Optimization in Quantum Error Correction

Jincheng Zhang

Quantum error correction (QEC) remains a critical challenge for the practical realization of quantum computation. Traditional QEC approaches often rely on pre-defined error correction codes and fixed topological structures, which may not be optimal for all quantum systems and noise environments. This paper proposes a novel framework for quantum error correction that leverages adaptive topological optimization. The core idea is to dynamically adjust the error correction topology in real-time, based on feedback from the quantum system, to maximize information transmission efficiency and resilience to noise. We construct a quantum error correction network where each physical qubit is associated with multiple logical qubits, forming a topological code. Utilizing quantum measurement and control techniques, we monitor the coherence and noise levels of the qubits, alongside the effectiveness of the error correction code. A quantum feedback control algorithm then dynamically modifies the topological connections, minimizing the impact of noise and enhancing the correction efficiency. This adaptive approach offers a significant improvement over static QEC methods, promising more robust and efficient quantum communication and computation in challenging environments. The theoretical framework presented demonstrates the potential for achieving significantly improved performance through real-time topology optimization.

•Sep 4, 2026•0 citations
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′)\Sigma(x,x')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.
Decoherence stands as the fundamental bottleneck limiting the physical realization of large-scale fault-tolerant quantum computation. Conventional paradigms rely on passive strategies of environmental isolation and post-hoc quantum error correction, inherently bounded by Markovian approximation, weak-coupling assumptions and prohibitive physical qubit overhead. Breaking away from the dissipative preset of traditional open quantum systems, this work establishes a global system-environment closed dynamical framework with rigorous coherence conservation. Without Markovian coarse-graining or thermal bath approximation \cite{1,5}, we derive the exact non-Markovian reduced dynamic equation and present the necessary and sufficient coupling conditions for strictly conserved quantum coherence. We rigorously prove that decoherence is not an intrinsic fundamental law of quantum mechanics, but an emergent consequence of specific interaction structures and artificial approximation constraints. By constructing structured system-environment coupling Hamiltonians, coherent decay can be frozen at the dynamical root, achieving intrinsic decoherence suppression without error correction, topological quasiparticles or magic state distillation. Numerical simulations verify that coherence remains strictly constant under strong environmental coupling for the proposed coupling scheme, in sharp contrast to conventional decaying dynamics. This work reconstructs the underlying paradigm of open quantum systems, eliminates the decoherence bottleneck at the fundamental level, and provides a novel theoretical route toward large-scale, low-overhead, universal fault-tolerant quantum computation.
This work develops a control-oriented theoretical framework for the manipulation of transient emission spectra and field-state purity in a qubit interacting with a broadband squeezed reservoir. We model the joint qubit-field dynamics using a time-resolved open quantum system formalism. This establishes a direct, quantitative connection between transient spectral characteristics, quantum purity evolution, and controllable system parameters. The analysis reveals that nonclassical reservoir properties, particularly squeezing-induced correlations, strongly influence both spectral deformation and coherence redistribution during the early-time dynamics. Building on this foundation, the work explores practical control strategies aimed at engineering the system’s dynamical response. Pulse shaping and time-dependent modulation of qubit-reservoir coupling offer effective control tools. These regulate spectral broadening, suppress unwanted decoherence, and accelerate convergence toward stabilized operating regimes. In addition, feedback-assisted qubit probing protocols are investigated as a means of monitoring and controlling field purity while minimizing measurement back-action on the squeezed mode. Our results show that well-designed control loops can balance information extraction and disturbance. This enables efficient regulation of nonclassical field properties. The proposed approach highlights transient spectral measurements as a powerful diagnostic and control resource, linking observable emission features to underlying quantum correlations and purity dynamics. From an engineering perspective, the framework offers practical guidelines. These guide the design of feedback-stabilized quantum emitters and reservoir-engineered coherence control. These findings are directly relevant to emerging quantum technologies, including cavity and circuit quantum electrodynamics, quantum sensing, and quantum communication systems operating in nonclassical environments.
Environmental Memory as a Control Resource for Quantum Coherence Abstract The dominant paradigm in quantum technologies relies on suppressing environmental interactions to approximate a Markovian bath. While effective for isolated components at cryogenic temperatures, this strategy faces scaling and energetic constraints. Here we propose an alternative control framework in which structured environmental correlations are reconstructed and actively exploited. Using a memory-kernel description of open-system dynamics, we show that control fields can be designed to selectively sample stable spectral features of the environment, transforming it from a source of decoherence into a phase reference. This leads to a falsifiable prediction: a localized “coherence ridge” in the control landscape, where the effective coherence time increases under phase-matched driving. We formulate experimental protocols and mechanism- breaking ablations that distinguish genuine memory-assisted stabilization from drift or estimator bias. The results recast robustness as synchronization with environmental memory rather than isolation from noise.
Quantum Phase Machines argues that the central obstacle to scalable quantum computing is not noise, materials, or fabrication — but the unit of information itself.After two decades of engineering progress, superconducting quantum processors still rely on fragile single-particle quantum states protected by massive error-correction overheads. This book proposes a different approach: encode information in the collective phase of macroscopic superconducting domains rather than in individual qubits. By exploiting the intrinsic rigidity of phase-locked Cooper pair ensembles, it suggests that error suppression can be achieved natively at the hardware level, without the exponential overhead of quantum error-correcting codes.The argument is developed in four parts. Part I reframes the decoherence problem in engineering terms and introduces the dynamic impedance principle underlying collective robustness. Part II proposes a physical model of structured photons and electrons that reinterprets superconductivity, entanglement, and coherence as geometric properties of extended electromagnetic systems. Part III defines the Temporal Bit (T-bit) architecture and its gate operations using existing Josephson-junction technology. Part IV presents an experimental roadmap with falsifiable predictions and concrete device proposals.Written for physicists and engineers fluent in Maxwell’s equations and solid-state physics, Quantum Phase Machines offers a radical but testable alternative to orthodox quantum computing architectures. Whether ultimately confirmed or refuted, its central claim is precise: scalable quantum computation will require exploiting collective physical structure, not merely protecting fragile quantum states.
Modern quantum theory offers powerful insights into superposition, entanglement, and decoherence, yet lacks a unifying treatment of information flow, observer participation, and entropy stability within dynamical systems. In this work, we introduce a novel framework based on \textit{probabilistic tensor fields}-a formulation in which quantum evolution, informational geometry, and observer-phase interaction co-emerge from a unified structure. The system is described by a dynamic field Ψμν\Psi_{\mu\nu}Ψμν​, composed of a coherent geometric background ⟨Gμν⟩\langle G_{\mu\nu} \rangle⟨Gμν​⟩ and a fluctuating informational term σμν\sigma_{\mu\nu}σμν​. The observer is embedded as a phase function ϕobserver\phi_{\text{observer}}ϕobserver​, dynamically interacting with the field to generate localized coherence.This coupling induces entropy suppression, spontaneous convergence (measurement), and classical pattern emergence-without invoking wavefunction collapse. Simulations reveal field-phase locking, entropy decay, vacuum energy damping, and the formation of stable memory attractors through standing-wave coherence. These results provide a new perspective on the quantum-to-classical transition, suggest a field-based alternative to gate-based computation, and offer a mathematically consistent path toward entropy-regulated dynamics. Recent experimental platforms support programmable phase dynamics and coherence engineering \cite{Bloch2008, Indiveri2015}, enabling physical analogs to IOQD simulations. Thereby, we position IOQD as a coherence-driven, phase-adaptive field computation model extending quantum machine learning beyond variational circuits and gate-based logic into non-symbolic, dynamic attractor learning systems.
Quantum error correction (QEC) remains a critical challenge for the practical realization of quantum computation. Traditional QEC approaches often rely on pre-defined error correction codes and fixed topological structures, which may not be optimal for all quantum systems and noise environments. This paper proposes a novel framework for quantum error correction that leverages adaptive topological optimization. The core idea is to dynamically adjust the error correction topology in real-time, based on feedback from the quantum system, to maximize information transmission efficiency and resilience to noise. We construct a quantum error correction network where each physical qubit is associated with multiple logical qubits, forming a topological code. Utilizing quantum measurement and control techniques, we monitor the coherence and noise levels of the qubits, alongside the effectiveness of the error correction code. A quantum feedback control algorithm then dynamically modifies the topological connections, minimizing the impact of noise and enhancing the correction efficiency. This adaptive approach offers a significant improvement over static QEC methods, promising more robust and efficient quantum communication and computation in challenging environments. The theoretical framework presented demonstrates the potential for achieving significantly improved performance through real-time topology optimization.