Quantum Cross Entropy in Integrated Fluctuation Theorems
ORAL
Abstract
We discuss the role of quantum cross entropy from the perspective of integrated fluctuation
theorems beyond the standard two-time measurement scheme. We employ the one-time
measurement scheme to construct an entropy gain distribution which is conditioned on the
outcome of an initial projective measurement. Then, we demonstrate that lower bounds on the
total entropy gain are tighter than those derived from the two-time measurement scheme and, in
turn, yield upper bounds on the classical information lost over a noisy quantum channel. Further
discussion applies fluctuation theorems to quantum machine learning and the thermodynamics of
a system undergoing heat emission.
theorems beyond the standard two-time measurement scheme. We employ the one-time
measurement scheme to construct an entropy gain distribution which is conditioned on the
outcome of an initial projective measurement. Then, we demonstrate that lower bounds on the
total entropy gain are tighter than those derived from the two-time measurement scheme and, in
turn, yield upper bounds on the classical information lost over a noisy quantum channel. Further
discussion applies fluctuation theorems to quantum machine learning and the thermodynamics of
a system undergoing heat emission.
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Publication: arXiv:2209.01761 [quant-ph]
Presenters
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Tharon Holdsworth
University of Massachusetts Boston
Authors
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Tharon Holdsworth
University of Massachusetts Boston
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Naoki Yamamoto
Keio University, Yokohama, Japan, Keio University
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Prineha Narang
Harvard University, University of California, Los Angeles, UCLA
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Akira Sone
University of Massachusetts Boston