Published March 2015
| Published + Submitted
Journal Article
Open
Perturbative instability of quantum memory based on effective long-range interactions
Abstract
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.
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.Attached Files
Published - PhysRevA.91.032303.pdf
Submitted - 1501.04112.pdf
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PhysRevA.91.032303.pdf
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Additional details
- Alternative title
- Can long-range interactions stabilize quantum memory at nonzero temperature?
- Eprint ID
- 56774
- Resolver ID
- CaltechAUTHORS:20150420-105848086
- David and Ellen Lee Postdoctoral Fellowship
- Fonds de recherche du Québe-Nature et technologies (FRQ-NT)
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Canadian Institute for Advanced Research (CIFAR)
- 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)
- NSF Physics Frontiers Center
- Gordon and Betty Moore Foundation
- NSF
- PHY-0803371
- NSF
- PHY-1125565
- National Security Agency
- Created
-
2015-04-20Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter