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. doi:10.1063/1.4932612. https://resolver.caltech.edu/CaltechAUTHORS:20151202-080343555
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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.
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| 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: | Institute for Quantum Information and Matter | ||||||||||||||||||||||||||||
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| Issue or Number: | 10 | ||||||||||||||||||||||||||||
| DOI: | 10.1063/1.4932612 | ||||||||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20151202-080343555 | ||||||||||||||||||||||||||||
| Persistent URL: | https://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: | 10 Nov 2021 23:03 |
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