Impossibility of achieving Landauer’s bound for almost every quantum state

The thermodynamic cost of resetting an arbitrary initial state to a particular desired state is lower bounded by Landauer's bound. However, here we demonstrate that this lower bound is necessarily unachievable for nearly every initial state, for any reliable reset mechanism. Since local heat...

Full description

Saved in:

Bibliographic Details
Main Authors:	Riechers, Paul M., Gu, Mile
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2022
Subjects:	Science::Physics Energy Efficiency Quantum Theory
Online Access:	https://hdl.handle.net/10356/154963
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-154963
record_format	dspace
spelling	sg-ntu-dr.10356-1549632023-02-28T20:07:05Z Impossibility of achieving Landauer’s bound for almost every quantum state Riechers, Paul M. Gu, Mile School of Physical and Mathematical Sciences National University of Singapore Complexity Institute Science::Physics Energy Efficiency Quantum Theory The thermodynamic cost of resetting an arbitrary initial state to a particular desired state is lower bounded by Landauer's bound. However, here we demonstrate that this lower bound is necessarily unachievable for nearly every initial state, for any reliable reset mechanism. Since local heating threatens rapid decoherence, this issue is of substantial importance beyond mere energy efficiency. For the case of qubit reset, we find the minimally dissipative state analytically for any reliable reset protocol, in terms of the entropy-flow vector introduced here. This allows us to verify a recent theorem about initial-state dependence of entropy production for any finite-time transformation, as it pertains to quantum state preparation. Ministry of Education (MOE) National Research Foundation (NRF) Published version This work was supported by the Singapore Ministry of Education Tier 1 Grant No. RG146/20, the National Research Foundation of Singapore Fellowship No. NRF-NRFF2016- 02, the National Research Foundation and L’Agence Nationale de la Recherche joint Project No. NRF2017- NRFANR004 VanQuTe, and the FQXi R-710-000-146-720 Grant “Are quantum agents more energetically efficient at making predictions?” from the Foundational Questions Institute and Fetzer Franklin Fund (a donor-advised fund of Silicon Valley Community Foundation), and the Quantum Engineering Program QEP-SP3. 2022-05-26T02:47:31Z 2022-05-26T02:47:31Z 2021 Journal Article Riechers, P. M. & Gu, M. (2021). Impossibility of achieving Landauer’s bound for almost every quantum state. Physical Review A, 104(1), 012214-. https://dx.doi.org/10.1103/PhysRevA.104.012214 2469-9926 https://hdl.handle.net/10356/154963 10.1103/PhysRevA.104.012214 2-s2.0-85110265290 1 104 012214 en RG146/20 NRF-NRFF2016-02 Physical Review A © 2021 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	Science::Physics Energy Efficiency Quantum Theory
spellingShingle	Science::Physics Energy Efficiency Quantum Theory Riechers, Paul M. Gu, Mile Impossibility of achieving Landauer’s bound for almost every quantum state
description	The thermodynamic cost of resetting an arbitrary initial state to a particular desired state is lower bounded by Landauer's bound. However, here we demonstrate that this lower bound is necessarily unachievable for nearly every initial state, for any reliable reset mechanism. Since local heating threatens rapid decoherence, this issue is of substantial importance beyond mere energy efficiency. For the case of qubit reset, we find the minimally dissipative state analytically for any reliable reset protocol, in terms of the entropy-flow vector introduced here. This allows us to verify a recent theorem about initial-state dependence of entropy production for any finite-time transformation, as it pertains to quantum state preparation.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Riechers, Paul M. Gu, Mile
format	Article
author	Riechers, Paul M. Gu, Mile
author_sort	Riechers, Paul M.
title	Impossibility of achieving Landauer’s bound for almost every quantum state
title_short	Impossibility of achieving Landauer’s bound for almost every quantum state
title_full	Impossibility of achieving Landauer’s bound for almost every quantum state
title_fullStr	Impossibility of achieving Landauer’s bound for almost every quantum state
title_full_unstemmed	Impossibility of achieving Landauer’s bound for almost every quantum state
title_sort	impossibility of achieving landauer’s bound for almost every quantum state
publishDate	2022
url	https://hdl.handle.net/10356/154963
_version_	1759856402578276352

Impossibility of achieving Landauer’s bound for almost every quantum state

Similar Items