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:1407.0520 · Journal of Physics A Mathematical and Theoretical

Detailed balance and entanglement

Rocco Duvenhage, Machiel Snyman

Published Mar 26, 2015• 10 citations
arXivHTMLPDF

Abstract

We study a connection between quantum detailed balance, which is a concept of importance in statistical mechanics, and entanglement. We also explore how this connection fits into thermofield dynamics.
DOI
10.1088/1751-8113/48/15/155303

Related papers

An evolution from quantum entanglement to classical disentanglement and its consequences in statistical mechanics

Tiege Zhou

Solid State Communications•Jun 1, 2000•5 citations

Balance in W*-dynamical systems

Mathys Machiel Snyman

Using a study of the connection between entanglement and quantum detailed balance as motivation, we define and study the concept of balance between two W -dynamical systems. Balance is defined in terms of certain correlated states (couplings), with entangled states as a specific case. Basic properties of balance are derived, and a connection with correspondences in the sense of Connection is discussed. The characterization, and possible generalizations of a quantum detailed balance condition is explored. A characterization of ergodicity in terms of balance is also given.

•Jan 1, 2019•0 citations

A New Approach to Quantum Entanglement by Thermofield Dynamics

Koichi Nakagawa

For the purpose of clarifying a new approach to understanding quantum entanglement using the thermofield dynamics, entanglement entropies of non-equilibrium finite-spin systems are examined for both traditional and extended cases.

•Jan 1, 2014•0 citations

Quantum Onsager relations

Mankei Tsang

Abstract Using quantum information geometry, I derive quantum generalizations of the Onsager rate equations, which model the dynamics of an open system near a steady state. The generalized equations hold for a flexible definition of the forces as well as a large class of statistical divergence measures and quantum-Fisher-information metrics beyond the conventional definition of entropy production. I also derive quantum Onsager–Casimir relations for the transport tensors by proposing a general concept of time reversal and detailed balance for open quantum systems. The results establish a remarkable connection between statistical mechanics and parameter estimation theory.

arXiv:2403.12896•Quantum Science and Technology•Oct 9, 2024•5 citations

Study on the classical mechanical origin of quantum entanglement

Donatello Dolce B

Quantum Studies Mathematics and Foundations•Aug 31, 2025•0 citations

The detailed balance condition in quantum statistical mechanics

W. A. Majewski

The generalization of the detailed balance condition is discussed in the framework of algebraic quantum statistical mechanics.

Journal of Mathematical Physics•Mar 1, 1984•58 citations
Using a study of the connection between entanglement and quantum detailed balance as motivation, we define and study the concept of balance between two W -dynamical systems. Balance is defined in terms of certain correlated states (couplings), with entangled states as a specific case. Basic properties of balance are derived, and a connection with correspondences in the sense of Connection is discussed. The characterization, and possible generalizations of a quantum detailed balance condition is explored. A characterization of ergodicity in terms of balance is also given.
Abstract Using quantum information geometry, I derive quantum generalizations of the Onsager rate equations, which model the dynamics of an open system near a steady state. The generalized equations hold for a flexible definition of the forces as well as a large class of statistical divergence measures and quantum-Fisher-information metrics beyond the conventional definition of entropy production. I also derive quantum Onsager–Casimir relations for the transport tensors by proposing a general concept of time reversal and detailed balance for open quantum systems. The results establish a remarkable connection between statistical mechanics and parameter estimation theory.