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Effect of Quantum Coherence on Landauer’s Principle

Faculty of Engineering, University of Yamanashi, 4-3-11 Takeda, Kofu 400-8511, Yamanashi, Japan
Authors to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editors: Bassano Vacchini, Andrea Smirne and Nina Megier
Entropy 2022, 24(4), 548;
Received: 9 February 2022 / Revised: 30 March 2022 / Accepted: 30 March 2022 / Published: 13 April 2022
(This article belongs to the Special Issue Quantum Information Concepts in Open Quantum Systems)
Landauer’s principle provides a fundamental lower bound for energy dissipation occurring with information erasure in the quantum regime. While most studies have related the entropy reduction incorporated with the erasure to the lower bound (entropic bound), recent efforts have also provided another lower bound associated with the thermal fluctuation of the dissipated energy (thermodynamic bound). The coexistence of the two bounds has stimulated comparative studies of their properties; however, these studies were performed for systems where the time-evolution of diagonal (population) and off-diagonal (coherence) elements of the density matrix are decoupled. In this paper, we aimed to broaden the comparative study to include the influence of quantum coherence induced by the tilted system–reservoir interaction direction. By examining their dependence on the initial state of the information-bearing system, we find that the following properties of the bounds are generically held regardless of whether the influence of the coherence is present or not: the entropic bound serves as the tighter bound for a sufficiently mixed initial state, while the thermodynamic bound is tighter when the purity of the initial state is sufficiently high. The exception is the case where the system dynamics involve only phase relaxation; in this case, the two bounds coincide when the initial coherence is zero; otherwise, the thermodynamic bound serves the tighter bound. We also find the quantum information erasure inevitably accompanies constant energy dissipation caused by the creation of system–reservoir correlation, which may cause an additional source of energetic cost for the erasure. View Full-Text
Keywords: Landauer’s principle; quantum coherence; energy dissipation Landauer’s principle; quantum coherence; energy dissipation
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MDPI and ACS Style

Hashimoto, K.; Uchiyama, C. Effect of Quantum Coherence on Landauer’s Principle. Entropy 2022, 24, 548.

AMA Style

Hashimoto K, Uchiyama C. Effect of Quantum Coherence on Landauer’s Principle. Entropy. 2022; 24(4):548.

Chicago/Turabian Style

Hashimoto, Kazunari, and Chikako Uchiyama. 2022. "Effect of Quantum Coherence on Landauer’s Principle" Entropy 24, no. 4: 548.

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