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Quantum Thermodynamics

Theoretical bound of the efficiency of learning

arXiv
Authors: Shanhe Su, Ousi Pan, Shihao Xia, Jincan Chen, Chikako Uchiyama

Year

2022

Paper ID

59265

Status

Preprint

Abstract Read

~2 min

Abstract Words

84

Citations

N/A

Abstract

A unified thermodynamic formalism describing the efficiency of learning is proposed. First, we derive an inequality, which is more strength than Clausius's inequality, revealing the lower bound of the entropy-production rate of a subsystem. Second, the inequality is transformed to determine the general upper limit for the efficiency of learning. In particular, we exemplify the bound of the efficiency in nonequilibrium quantum-dot systems and networks of living cells. The framework provides a fundamental trade-off relationship between energy and information inheriting in stochastic thermodynamic processes.

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  • This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
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  • A unified thermodynamic formalism describing the efficiency of learning is proposed.

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