Published October 2015
| Published
Journal Article
Open
Area law for fixed points of rapidly mixing dissipative quantum systems
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.
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.Attached Files
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Additional details
- Eprint ID
- 62528
- Resolver ID
- CaltechAUTHORS:20151202-080343555
- Engineering and Physical Sciences Research Council (EPSRC)
- Royal Society
- Ministerio de Economía y Competitividad (MINECO)
- BES-2012-052404
- Ministerio de Economía y Competitividad (MINECO)
- MTM2011-26912
- Comunidad de Madrid
- S2013/ICE-2801
- European CHIST-ERA Project CQC
- Ministerio de Economía y Competitividad (MINECO)
- PRI-PIMCHI-2011-1071
- John Templeton Foundation
- 48322
- European Research Council (ERC)
- 648913
- Institute for Quantum Information and Matter (IQIM)
- NSF Physics Frontiers Center
- Gordon and Betty Moore Foundation
- GBMF1250
- Air Force Office of Scientific Research (AFOSR)
- FA8750-12-2-0308
- Created
-
2015-12-02Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter