Fluctuation theorems for a quantum channel
File(s)PhysRevX.9.031029.pdf (1.22 MB)
Published version
Author(s)
Kwon, Hyukjoon
Kim, Myungshik
Type
Journal Article
Abstract
We establish the general framework of quantum fluctuation theorems by finding the symmetry between the forward and backward transitions of any given quantum channel. The Petz recovery map is adopted as the reverse quantum channel, and the notion of entropy production in thermodynamics is extended to the quantum regime. Our result shows that the fluctuation theorems, which are normally considered for thermodynamic processes, can be a powerful tool to study the detailed statistics of quantum systems as well as the effect of coherence transfer in an arbitrary non-equilibrium quantum process. We introduce a complex-valued entropy production to fully understand the relation between the forward and backward processes through the quantum channel. We find the physical meaning of the imaginary part of entropy production to witness the broken symmetry of the quantum channel. We also show that the imaginary part plays a crucial role in deriving the second law from the quantum fluctuation theorem. The dissipation and fluctuation of various quantum resources including quantum free energy, asymmetry and entanglement can be coherently understood in our unified framework. Our fluctuation theorem can be applied to a wide range of physical systems and dynamics to query the reversibility of a quantum state for the given quantum processing channel involving coherence and entanglement.
Date Issued
2019-08-20
Date Acceptance
2019-07-17
Citation
Physical Review X, 2019, 9 (3)
ISSN
2160-3308
Publisher
American Physical Society
Journal / Book Title
Physical Review X
Volume
9
Issue
3
Copyright Statement
© 2019 The Author(s). Published by the American Physical Society under the terms oftheCreative Commons Attribution 4.0 Internationallicense.Further distribution of this work must maintain attribution tothe author(s) and the published article’s title, journal citation,and DOI.
Sponsor
Engineering & Physical Science Research Council (EPSRC)
The Royal Society
Samsung Electronics Co. Ltd
Korea Institute of Science and Technology
Identifier
https://journals.aps.org/prx/accepted/b5079K25L3b12305328f6de34e798cce07b2359ca
Grant Number
EP/R044082/1
WM140063
N/A
n/a
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
ENTANGLEMENT
SEPARABILITY
INFORMATION
RECOVERY
EQUALITY
ENTROPY
STATES
GATE
0206 Quantum Physics
Publication Status
Published
Article Number
ARTN 031029