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

arXiv:2106.00385

A kinetic theory for quantum information transport

Fabio Anzà

Published Jun 1, 2021• 0 citations
arXivHTMLPDF

Abstract

In this work we build a theoretical framework for the transport of information in quantum systems. This is a framework aimed at describing how out of equilibrium open quantum systems move information around their state space, using an approach inspired by transport theories. The main goal is to build new mathematical tools, together with physical intuition, to improve our understanding of non-equilibrium phenomena in quantum systems. In particular, we are aiming at unraveling the interplay between dynamical properties and information-theoretic features. The main rationale here is to have a framework that can imitate, and potentially replicate, the decades-long history of success of transport theories in modeling non-equilibrium phenomena.

DOI
10.48550/arxiv.2106.00385

Related papers

Title: Information Theory & Quantum Entanglement

Jincheng Zhang

This paper explores the profound implications of information theory for understanding quantum entanglement, proposing a novel framework that posits entanglement as a fundamental property of information flow rather than a mere correlation. We introduce the concept of "Entangled Information Fields" – dynamic, complex fields that encode and manipulate information, with the potential to influence quantum phenomena. This research builds upon established principles of information theory and quantum mechanics, aiming to provide a more holistic understanding of this perplexing phenomenon. The core claim is that entanglement represents a critical aspect of information processing, driving the observed quantum behavior. We detail the proposed framework, exploring its potential to resolve long-standing conceptual difficulties and offer new avenues for research in quantum information theory.

•Sep 4, 2026•0 citations

Title: Non-Equilibrium Thermodynamics of Quantum Systems

Jincheng Zhang

Quantum systems exhibit unique behavior, often defying classical expectations. Their dynamics are profoundly shaped by the interplay of quantum and thermal fluctuations, making precise predictions challenging. This paper explores the non-equilibrium thermodynamics of quantum systems, focusing on the development of a novel framework to address this challenge. We propose a 'quantum-thermal coupling' algorithm, designed to capture the complex dynamics of these systems, offering a paradigm shift in our understanding of quantum phenomena in a dynamically changing environment. The core claim is to provide a robust and adaptable approach for modeling and predicting the behavior of quantum systems in non-equilibrium conditions, considering the intricate interplay of quantum and thermal effects. This work builds upon existing research in quantum mechanics and thermodynamics, addressing limitations in current models and establishing a foundational step towards a more complete understanding of these systems.

•Aug 31, 2026•0 citations

Emergent Hydrodynamics in Integrable Quantum Systems Out of Equilibrium

Olalla A. Castro-Alvaredo, Benjamin Doyon, Takato Yoshimura

Understanding the general principles underlying strongly interacting quantum states out of equilibrium is one of the most important tasks of current theoretical physics.With experiments accessing the intricate dynamics of many-body quantum systems, it is paramount to develop powerful methods that encode the emergent physics.Up to now, the strong dichotomy observed between integrable and nonintegrable evolutions made an overarching theory difficult to build, especially for transport phenomena where spacetime profiles are drastically different.We present a novel framework for studying transport in integrable systems: hydrodynamics with infinitely many conservation laws.This bridges the conceptual gap between integrable and nonintegrable quantum dynamics, and gives powerful tools for accurate studies of spacetime profiles.We apply it to the description of energy transport between heat baths, and provide a full description of the current-carrying nonequilibrium steady state and the transition regions in a family of models including the Lieb-Liniger model of interacting Bose gases, realized in experiments.

arXiv:1605.07331•Physical Review X•Dec 27, 2016•897 citations

Title: Non-Equilibrium Thermodynamics for Quantum Data Analysis

Jincheng Zhang

Quantum data analysis presents unique challenges due to the inherent sensitivity to initial conditions and the complex, often non-linear, dynamics of quantum systems. Conventional statistical methods often struggle to effectively capture these intricate patterns and correlations, particularly when dealing with systems exhibiting phenomena like quantum entanglement and superposition. This research proposes a novel framework leveraging non-equilibrium thermodynamics to provide a deeper understanding of these dynamics, aiming to identify emergent correlations that are difficult to detect using traditional approaches. We develop a system of differential equations that represent the evolution of quantum states, incorporating thermodynamic principles to model the system's state space. The primary goal is to shift the focus from simple equilibrium states to those characterized by active, self-organized structures. This approach will provide a more robust and insightful analysis of quantum data, potentially unlocking novel insights into the behavior of quantum systems and offering a more accurate representation of their underlying dynamics. This work will explore how non-equilibrium thermodynamics can be employed to enhance our ability to understand and interpret the complex correlations within quantum data.

•Aug 31, 2026•0 citations

Repeated interactions in open quantum systems

Laurent Bruneau, Alain Joye, Marco Merkli

Analyzing the dynamics of open quantum systems has a long history in mathematics and physics. Depending on the system at hand, basic physical phenomena that one would like to explain are, for example, convergence to equilibrium, the dynamics of quantum coherences (decoherence) and quantum correlations (entanglement), or the emergence of heat and particle fluxes in non-equilibrium situations. From the mathematical physics perspective, one of the main challenges is to derive the irreversible dynamics of the open system, starting from a unitary dynamics of the system and its environment. The repeated interactions systems considered in these notes are models of non-equilibrium quantum statistical mechanics. They are relevant in quantum optics, and more generally, serve as a relatively well treatable approximation of a more difficult quantum dynamics. In particular, the repeated interaction models allow to determine the large time (stationary) asymptotics of quantum systems out of equilibrium.

arXiv:1305.2472•Journal of Mathematical Physics•Jun 19, 2014•77 citations

Title: Quantum Information as a Physical System Analogy

Jincheng Zhang

Quantum information, a fundamentally unique and complex phenomenon, has captivated researchers for decades. This paper explores the potential of utilizing a physical system analogy to develop a rigorous mathematical framework for understanding and modeling this intricate concept. The core claim is to create a model that identifies analogous physical systems exhibiting key properties like entanglement and superposition, providing a pathway towards a deeper understanding of quantum information's underlying principles. Current approaches often abstract this concept, lacking a concrete, physical representation. This work proposes a novel method – constructing a mathematical model where quantum information is directly analogous to physical states and processes – aiming to bridge the gap between theoretical description and tangible understanding.

•Sep 4, 2026•0 citations
In this work we build a theoretical framework for the transport of information in quantum systems. This is a framework aimed at describing how out of equilibrium open quantum systems move information around their state space, using an approach inspired by transport theories. The main goal is to build new mathematical tools, together with physical intuition, to improve our understanding of non-equilibrium phenomena in quantum systems. In particular, we are aiming at unraveling the interplay between dynamical properties and information-theoretic features. The main rationale here is to have a framework that can imitate, and potentially replicate, the decades-long history of success of transport theories in modeling non-equilibrium phenomena.
This paper explores the profound implications of information theory for understanding quantum entanglement, proposing a novel framework that posits entanglement as a fundamental property of information flow rather than a mere correlation. We introduce the concept of "Entangled Information Fields" – dynamic, complex fields that encode and manipulate information, with the potential to influence quantum phenomena. This research builds upon established principles of information theory and quantum mechanics, aiming to provide a more holistic understanding of this perplexing phenomenon. The core claim is that entanglement represents a critical aspect of information processing, driving the observed quantum behavior. We detail the proposed framework, exploring its potential to resolve long-standing conceptual difficulties and offer new avenues for research in quantum information theory.
Quantum systems exhibit unique behavior, often defying classical expectations. Their dynamics are profoundly shaped by the interplay of quantum and thermal fluctuations, making precise predictions challenging. This paper explores the non-equilibrium thermodynamics of quantum systems, focusing on the development of a novel framework to address this challenge. We propose a 'quantum-thermal coupling' algorithm, designed to capture the complex dynamics of these systems, offering a paradigm shift in our understanding of quantum phenomena in a dynamically changing environment. The core claim is to provide a robust and adaptable approach for modeling and predicting the behavior of quantum systems in non-equilibrium conditions, considering the intricate interplay of quantum and thermal effects. This work builds upon existing research in quantum mechanics and thermodynamics, addressing limitations in current models and establishing a foundational step towards a more complete understanding of these systems.
Understanding the general principles underlying strongly interacting quantum states out of equilibrium is one of the most important tasks of current theoretical physics.With experiments accessing the intricate dynamics of many-body quantum systems, it is paramount to develop powerful methods that encode the emergent physics.Up to now, the strong dichotomy observed between integrable and nonintegrable evolutions made an overarching theory difficult to build, especially for transport phenomena where spacetime profiles are drastically different.We present a novel framework for studying transport in integrable systems: hydrodynamics with infinitely many conservation laws.This bridges the conceptual gap between integrable and nonintegrable quantum dynamics, and gives powerful tools for accurate studies of spacetime profiles.We apply it to the description of energy transport between heat baths, and provide a full description of the current-carrying nonequilibrium steady state and the transition regions in a family of models including the Lieb-Liniger model of interacting Bose gases, realized in experiments.
Quantum data analysis presents unique challenges due to the inherent sensitivity to initial conditions and the complex, often non-linear, dynamics of quantum systems. Conventional statistical methods often struggle to effectively capture these intricate patterns and correlations, particularly when dealing with systems exhibiting phenomena like quantum entanglement and superposition. This research proposes a novel framework leveraging non-equilibrium thermodynamics to provide a deeper understanding of these dynamics, aiming to identify emergent correlations that are difficult to detect using traditional approaches. We develop a system of differential equations that represent the evolution of quantum states, incorporating thermodynamic principles to model the system's state space. The primary goal is to shift the focus from simple equilibrium states to those characterized by active, self-organized structures. This approach will provide a more robust and insightful analysis of quantum data, potentially unlocking novel insights into the behavior of quantum systems and offering a more accurate representation of their underlying dynamics. This work will explore how non-equilibrium thermodynamics can be employed to enhance our ability to understand and interpret the complex correlations within quantum data.
Analyzing the dynamics of open quantum systems has a long history in mathematics and physics. Depending on the system at hand, basic physical phenomena that one would like to explain are, for example, convergence to equilibrium, the dynamics of quantum coherences (decoherence) and quantum correlations (entanglement), or the emergence of heat and particle fluxes in non-equilibrium situations. From the mathematical physics perspective, one of the main challenges is to derive the irreversible dynamics of the open system, starting from a unitary dynamics of the system and its environment. The repeated interactions systems considered in these notes are models of non-equilibrium quantum statistical mechanics. They are relevant in quantum optics, and more generally, serve as a relatively well treatable approximation of a more difficult quantum dynamics. In particular, the repeated interaction models allow to determine the large time (stationary) asymptotics of quantum systems out of equilibrium.
Quantum information, a fundamentally unique and complex phenomenon, has captivated researchers for decades. This paper explores the potential of utilizing a physical system analogy to develop a rigorous mathematical framework for understanding and modeling this intricate concept. The core claim is to create a model that identifies analogous physical systems exhibiting key properties like entanglement and superposition, providing a pathway towards a deeper understanding of quantum information's underlying principles. Current approaches often abstract this concept, lacking a concrete, physical representation. This work proposes a novel method – constructing a mathematical model where quantum information is directly analogous to physical states and processes – aiming to bridge the gap between theoretical description and tangible understanding.