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:2105.06419 · PRX Quantum

Conditional Entropy Production and Quantum Fluctuation Theorem of Dissipative Information: Theory and Experiments

Kun Zhang, Xuanhua Wang, Qian Zeng, Jin Wang

Published Jul 29, 2022• 14 citations
arXivHTMLPDF

Abstract

An in-depth and general study about conditional entropy production is presented, highlighting the importance of auxiliary systems that might not contribute to the dynamics but have an important thermodynamic cost.
DOI
10.1103/prxquantum.3.030315

Related papers

Conditional entropy production and quantum fluctuation theorem of dissipative information

Kun Zhang, Xuanhua Wang, Qian Zeng +1 more

We study the quantum conditional entropy production, which quantifies the irreversibly conditioned on the coupling memory of the system. We prove that the quantum unconditional entropy production is less than the conditional one, where the latter has contribution from the informational nonequilibriumness. The mismatch, defined as the quantum dissipative information, pinpoints the distributive correlation established between the environment and the memory. Although the quantum unconditional entropy production can be zero, the conditional one is in general not, which is beyond the thermal equilibrium. Positive quantum dissipative information characterizes a potential work waste. We also prove the quantum fluctuation theorems related to the conditional entropy production, based on different two-point measurement schemes. The dissipative information itself also follows the quantum fluctuation theorem. We present examples based on the qubit collisional model and the qubit Maxwell's demon.

•May 13, 2021•2 citations

Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production

Gonzalo Manzano, Jordan M. Horowitz, Juan M. R. Parrondo

We analyze the production of entropy along nonequilibrium processes in quantum systems coupled to generic environments.First, we show that the entropy production due to final measurements and the loss of correlations obeys a fluctuation theorem in detailed and integral forms.Second, we discuss the decomposition of the entropy production into two positive contributions, adiabatic and nonadiabatic, based on the existence of invariant states of the local dynamics.Fluctuation theorems for both contributions hold only for evolutions verifying a specific condition of quantum origin.We illustrate our results with three relevant examples of quantum thermodynamic processes far from equilibrium.

arXiv:1710.00054•Physical Review X•Aug 6, 2018•154 citations

Fluctuation Theorems for a Quantum Channel

Hyukjoon Kwon, M. S. Kim

A new framework for fluctuation theorems, which describe relationships between forward and backward thermodynamic processes, applies to quantum systems as well as classical ones, establishing a foundation for quantum thermodynamics and information theory.

arXiv:1810.03150•Physical Review X•Aug 20, 2019•62 citations

Generalized entropy production fluctuation theorems for quantum systems

Shubhashis Rana, Sourabh Lahiri, A. M. Jayannavar

arXiv:1202.1097•Pramana•Jan 30, 2013•8 citations

Entropy production and the role of correlations in quantum Brownian motion

Alessandra Colla, Heinz‐Peter Breuer

The authors add a driving force to a quantum dissipative model and investigate its effect on entropy production and correlations. Notably, it renders two common definitions of entropy production incompatible in the weak-coupling limit.

arXiv:2108.02599•Physical Review A•Nov 10, 2021•16 citations

Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics

Takahiro Sagawa, Masahito Ueda

We establish the fluctuation theorem in the presence of information exchange between a nonequilibrium system and other degrees of freedom such as an observer and a feedback controller, where the amount of information exchange is added to the entropy production. The resulting generalized second law sets the fundamental limit of energy dissipation and energy cost during the information exchange. Our results apply not only to feedback-controlled processes but also to a much broader class of information exchanges, and provide a unified framework of nonequilibrium thermodynamics of measurement and feedback control.

arXiv:1206.2479•Physical Review Letters•Nov 2, 2012•256 citations
We study the quantum conditional entropy production, which quantifies the irreversibly conditioned on the coupling memory of the system. We prove that the quantum unconditional entropy production is less than the conditional one, where the latter has contribution from the informational nonequilibriumness. The mismatch, defined as the quantum dissipative information, pinpoints the distributive correlation established between the environment and the memory. Although the quantum unconditional entropy production can be zero, the conditional one is in general not, which is beyond the thermal equilibrium. Positive quantum dissipative information characterizes a potential work waste. We also prove the quantum fluctuation theorems related to the conditional entropy production, based on different two-point measurement schemes. The dissipative information itself also follows the quantum fluctuation theorem. We present examples based on the qubit collisional model and the qubit Maxwell's demon.
We analyze the production of entropy along nonequilibrium processes in quantum systems coupled to generic environments.First, we show that the entropy production due to final measurements and the loss of correlations obeys a fluctuation theorem in detailed and integral forms.Second, we discuss the decomposition of the entropy production into two positive contributions, adiabatic and nonadiabatic, based on the existence of invariant states of the local dynamics.Fluctuation theorems for both contributions hold only for evolutions verifying a specific condition of quantum origin.We illustrate our results with three relevant examples of quantum thermodynamic processes far from equilibrium.
We establish the fluctuation theorem in the presence of information exchange between a nonequilibrium system and other degrees of freedom such as an observer and a feedback controller, where the amount of information exchange is added to the entropy production. The resulting generalized second law sets the fundamental limit of energy dissipation and energy cost during the information exchange. Our results apply not only to feedback-controlled processes but also to a much broader class of information exchanges, and provide a unified framework of nonequilibrium thermodynamics of measurement and feedback control.