Finite-Time Quantum Landauer Principle and Quantum Coherence

Tan Van Vu, Keiji Saito

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number010602
JournalPhysical review letters
Volume128
Issue number1
DOIs
Publication statusPublished - 2022 Jan 7

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Finite-Time Quantum Landauer Principle and Quantum Coherence'. Together they form a unique fingerprint.

Cite this