CaltechAUTHORS
  A Caltech Library Service

Necessity of an energy barrier for self-correction of Abelian quantum doubles

Kómár, Anna and Landon-Cardinal, Olivier and Temme, Kristan (2016) Necessity of an energy barrier for self-correction of Abelian quantum doubles. Physical Review A, 93 (5). Art. No. 052337. ISSN 2469-9926. http://resolver.caltech.edu/CaltechAUTHORS:20160601-103546621

[img] PDF - Published Version
See Usage Policy.

515Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20160601-103546621

Abstract

We rigorously establish an Arrhenius law for the mixing time of quantum doubles based on any Abelian group Z_d. We have made the concept of the energy barrier therein mathematically well defined; it is related to the minimum energy cost the environment has to provide to the system in order to produce a generalized Pauli error, maximized for any generalized Pauli errors, not only logical operators. We evaluate this generalized energy barrier in Abelian quantum double models and find it to be a constant independent of system size. Thus, we rule out the possibility of entropic protection for this broad group of models.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevA.93.052337DOIArticle
http://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.052337PublisherArticle
Additional Information:© 2016 American Physical Society. Received 22 February 2016; published 31 May 2016. We thank B. Brown and J. Preskill for helpful discussions and for valuable comments on an early version of the draft. We acknowledge funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NFS Grants No. PHY-1125565 and No. PHY-0803371) with support of the Gordon and Betty Moore Foundation (Grant No. GBMF-12500028). O.L.C. is partially supported by Fonds de Recherche Quebec-Nature et Technologies and the Natural Sciences and Engineering Research Council of Canada (NSERC).
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
NSFPHY-1125565
NSFPHY-0803371
Gordon and Betty Moore FoundationGBMF-12500028
Fonds de recherche du Québec-Nature et technologies (FRQ-NT)UNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Record Number:CaltechAUTHORS:20160601-103546621
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160601-103546621
Official Citation:Necessity of an energy barrier for self-correction of Abelian quantum doubles Anna Kómár, Olivier Landon-Cardinal, and Kristan Temme Phys. Rev. A 93, 052337
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67536
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Jun 2016 19:56
Last Modified:01 Jun 2016 19:56

Repository Staff Only: item control page