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Perturbative instability of quantum memory based on effective long-range interactions

Landon-Cardinal, Olivier and Yoshida, Beni and Poulin, David and Preskill, John (2015) Perturbative instability of quantum memory based on effective long-range interactions. Physical Review A, 91 (3). Art. No. 032303. ISSN 1050-2947. doi:10.1103/PhysRevA.91.032303.

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A two-dimensional topologically ordered quantum memory is well protected against error if the energy gap is large compared to the temperature, but this protection does not improve as the system size increases. We review and critique some recent proposals for improving the memory time by introducing long-range interactions among anyons, noting that instability with respect to small local perturbations of the Hamiltonian is a generic problem for such proposals. We also discuss some broader issues regarding the prospects for scalable quantum memory in two-dimensional systems.

Item Type:Article
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Alternate Title:Can long-range interactions stabilize quantum memory at nonzero temperature?
Additional Information:© 2015 American Physical Society. Received 19 January 2015; published 10 March 2015. We thank Jeongwan Haah, Michael J. Kastoryano, Daniel Loss, Kamil Michnicki, Fernando Pastawski, Fabio Pedrocchi, and Kristan Temme for helpful discussions. B.Y. is supported by the David and Ellen Lee Postdoctoral fellowship. O.L.C. is partially supported by Fonds de Recherche Québec-Nature et Technologies. D.P. is partially supported by Canada’s NSERC and the Canadian Institute for Advanced Research. This work was supported in part by NSA/ARO Grant No. W911NF-09-1-0442, and AFOSR/DARPA Grant No. FA8750-12-2-0308. We also acknowledge funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation (NSF Grants No. PHY-0803371 and No. PHY-1125565). Part of this work was done while D.P. was visiting IQIM.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
David and Ellen Lee Postdoctoral FellowshipUNSPECIFIED
Fonds de recherche du Québe-Nature et technologies (FRQ-NT)UNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Canadian Institute for Advanced Research (CIFAR)UNSPECIFIED
Army Research Office (ARO)W911NF-09-1-0442
Air Force Office of Scientific Research (AFOSR)FA8750-12-2-0308
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
National Security AgencyUNSPECIFIED
Issue or Number:3
Classification Code:PACS: 03.67.Pp, 03.67.Lx
Record Number:CaltechAUTHORS:20150420-105848086
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:56774
Deposited By: Tony Diaz
Deposited On:20 Apr 2015 18:42
Last Modified:10 Nov 2021 21:03

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