TY - JOUR

T1 - Finite-Time Quantum Landauer Principle and Quantum Coherence

AU - Van Vu, Tan

AU - Saito, Keiji

N1 - Funding Information:
We are grateful to K. Funo and H. Tajima for the fruitful discussion. We also thank K. Brandner for telling us about his study on quantum heat engines. This work was supported by Grants-in-Aid for Scientific Research (JP19H05603 and JP19H05791).
Publisher Copyright:
© 2022 American Physical Society

PY - 2022/1/7

Y1 - 2022/1/7

N2 - The Landauer principle states that any logically irreversible information processing must be accompanied by dissipation into the environment. In this Letter, we investigate the heat dissipation associated with finite-time information erasure and the effect of quantum coherence in such processes. By considering a scenario wherein information is encoded in an open quantum system whose dynamics are described by the Markovian Lindblad equation, we show that the dissipated heat is lower bounded by the conventional Landauer cost, as well as a correction term inversely proportional to the operational time. To clarify the relation between quantum coherence and dissipation, we derive a lower bound for heat dissipation in terms of quantum coherence. This bound quantitatively implies that the creation of quantum coherence in the energy eigenbasis during the erasure process inevitably leads to additional heat costs. The obtained bounds hold for arbitrary operational time and control protocol. By following an optimal control theory, we numerically present an optimal protocol and illustrate our findings by using a single-qubit system.

AB - The Landauer principle states that any logically irreversible information processing must be accompanied by dissipation into the environment. In this Letter, we investigate the heat dissipation associated with finite-time information erasure and the effect of quantum coherence in such processes. By considering a scenario wherein information is encoded in an open quantum system whose dynamics are described by the Markovian Lindblad equation, we show that the dissipated heat is lower bounded by the conventional Landauer cost, as well as a correction term inversely proportional to the operational time. To clarify the relation between quantum coherence and dissipation, we derive a lower bound for heat dissipation in terms of quantum coherence. This bound quantitatively implies that the creation of quantum coherence in the energy eigenbasis during the erasure process inevitably leads to additional heat costs. The obtained bounds hold for arbitrary operational time and control protocol. By following an optimal control theory, we numerically present an optimal protocol and illustrate our findings by using a single-qubit system.

UR - http://www.scopus.com/inward/record.url?scp=85123170012&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85123170012&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.128.010602

DO - 10.1103/PhysRevLett.128.010602

M3 - Article

C2 - 35061471

AN - SCOPUS:85123170012

SN - 0031-9007

VL - 128

JO - Physical Review Letters

JF - Physical Review Letters

IS - 1

M1 - 010602

ER -