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Quantum Fluctuation Theorem under Quantum Jumps with Continuous Measurement and Feedback.

Toshihiro Yada¹, Nobuyuki Yoshioka¹, Takahiro Sagawa^1,2

¹Department of Applied Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan.

Physical Review Letters

|May 16, 2022

Summary

Researchers derived a generalized fluctuation theorem for quantum systems under continuous feedback, introducing quantum-classical-transfer entropy. This bridges quantum thermodynamics and information theory, with potential experimental verification in quantum systems.

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Area of Science:

Quantum Thermodynamics
Quantum Information Theory
Statistical Mechanics

Background:

Classical fluctuation theorems are well-established under feedback control.
Quantum systems under continuous feedback and measurement remain underexplored regarding fluctuation theorems.

Purpose of the Study:

To derive a generalized fluctuation theorem for quantum systems subjected to continuous measurement and feedback.
To introduce a novel information measure connecting quantum and classical systems.

Main Methods:

Derivation of the generalized fluctuation theorem using quantum jump dynamics.
Introduction and definition of quantum-classical-transfer (QC-transfer) entropy.
Numerical simulations to verify theoretical findings.

Main Results:

Successful derivation of the generalized fluctuation theorem for quantum systems with continuous feedback.
Introduction of QC-transfer entropy as a quantum analogue of classical transfer entropy.
Validation of results through numerical simulations and a proposed hybrid verification method.

Conclusions:

Established a fundamental link between quantum thermodynamics and quantum information.
The derived theorem and QC-transfer entropy offer new tools for analyzing quantum systems.
Findings are experimentally testable using platforms like circuit quantum electrodynamics.