CaltechAUTHORS
  A Caltech Library Service

Area law for fixed points of rapidly mixing dissipative quantum systems

Brandão, Fernando G. S. L. and Cubitt, Toby S. and Lucia, Angelo and Michalakis, Spyridon and Pérez-García, David (2015) Area law for fixed points of rapidly mixing dissipative quantum systems. Journal of Mathematical Physics, 56 (10). Art. No. 102202. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:20151202-080343555

[img] PDF - Published Version
See Usage Policy.

802Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20151202-080343555

Abstract

We prove an area law with a logarithmic correction for the mutual information for fixed points of local dissipative quantum system satisfying a rapid mixing condition, under either of the following assumptions: the fixed point is pure or the system is frustration free.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.4932612DOIArticle
http://scitation.aip.org/content/aip/journal/jmp/56/10/10.1063/1.4932612PublisherArticle
http://arxiv.org/abs/1505.02776arXivDiscussion Paper
ORCID:
AuthorORCID
Brandão, Fernando G. S. L.0000-0003-3866-9378
Additional Information:© 2015 AIP Publishing LLC. Received 22 June 2015; accepted 26 September 2015; published online 13 October 2015. F.G.S.L.B. is supported by EPSRC. T.S.C. is supported by the Royal Society. A.L. is supported by MINECO FPI fellowship No. BES-2012-052404. A.L. and D.P.-G. acknowledge support from MINECO (Grant No. MTM2011-26912), Comunidad de Madrid (Grant No. QUITEMAD+-CM, Ref. No. S2013/ICE-2801) and the European CHIST-ERA project CQC (funded partially by MINECO under Grant No. PRI-PIMCHI-2011-1071). This work was made possible through the support of grant #48322 from the John Templeton Foundation. The opinions expressed in this publication are those of the authors and do not necessarily reflect the views of the John Templeton Foundation. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 648913). S.M. acknowledges funding provided by IQIM, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250, and AFOSR Grant No. FA8750-12-2-0308. The authors would like to thank the hospitality of the Isaac Newton Institute for Mathematical Sciences, where part of this work was carried out.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Engineering and Physical Sciences Research Council (EPSRC)UNSPECIFIED
Royal SocietyUNSPECIFIED
Ministerio de Economía y Competitividad (MINECO)BES-2012-052404
Ministerio de Economía y Competitividad (MINECO)MTM2011-26912
Comunidad de MadridS2013/ICE-2801
European CHIST-ERA Project CQCUNSPECIFIED
Ministerio de Economía y Competitividad (MINECO)PRI-PIMCHI-2011-1071
John Templeton Foundation48322
European Research Council (ERC)648913
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Air Force Office of Scientific Research (AFOSR)FA8750-12-2-0308
Record Number:CaltechAUTHORS:20151202-080343555
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20151202-080343555
Official Citation:Area law for fixed points of rapidly mixing dissipative quantum systems Brandão, Fernando G. S. L. and Cubitt, Toby S. and Lucia, Angelo and Michalakis, Spyridon and Perez-Garcia, David, Journal of Mathematical Physics, 56, 102202 (2015), DOI:http://dx.doi.org/10.1063/1.4932612
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62528
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:02 Dec 2015 23:58
Last Modified:30 Jul 2018 15:22

Repository Staff Only: item control page