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Symmetry Breaking and Error Correction in Open Quantum Systems

Lieu, Simon and Belyansky, Ron and Young, Jeremy T. and Lundgren, Rex and Albert, Victor V. and Gorshkov, Alexey V. (2020) Symmetry Breaking and Error Correction in Open Quantum Systems. Physical Review Letters, 125 (24). Art. No. 240405. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20201215-085507736

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Abstract

Symmetry-breaking transitions are a well-understood phenomenon of closed quantum systems in quantum optics, condensed matter, and high energy physics. However, symmetry breaking in open systems is less thoroughly understood, in part due to the richer steady-state and symmetry structure that such systems possess. For the prototypical open system—a Lindbladian—a unitary symmetry can be imposed in a “weak” or a “strong” way. We characterize the possible Z_n symmetry-breaking transitions for both cases. In the case of Z₂, a weak-symmetry-broken phase guarantees at most a classical bit steady-state structure, while a strong-symmetry-broken phase admits a partially protected steady-state qubit. Viewing photonic cat qubits through the lens of strong-symmetry breaking, we show how to dynamically recover the logical information after any gap-preserving strong-symmetric error; such recovery becomes perfect exponentially quickly in the number of photons. Our study forges a connection between driven-dissipative phase transitions and error correction.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevlett.125.240405DOIArticle
https://arxiv.org/abs/2008.02816arXivDiscussion Paper
ORCID:
AuthorORCID
Albert, Victor V.0000-0002-0335-9508
Gorshkov, Alexey V.0000-0003-0509-3421
Additional Information:© 2020 American Physical Society. Received 6 August 2020; accepted 10 November 2020; published 8 December 2020. S. L. was supported by the NIST NRC Research Postdoctoral Associateship Award. R. B., J. T. Y., R. L., and A. V. G. acknowledge funding by the DOE ASCR Accelerated Research in Quantum Computing program (Award No. DE-SC0020312), NSF PFCQC program, DOE BES Materials and Chemical Sciences Research for Quantum Information Science program (Award No. DE-SC0019449), DOE ASCR Quantum Testbed Pathfinder program (Award No. DE-SC0019040), AFOSR, AFOSR MURI, ARO MURI, ARL CDQI, and NSF PFC at JQI. R. B. acknowledges support of NSERC and FRQNT of Canada.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
National Institute of Standards and Technology (NIST)UNSPECIFIED
Department of Energy (DOE)DE-SC0020312
NSFUNSPECIFIED
Department of Energy (DOE)DE-SC0019449
Department of Energy (DOE)DE-SC0019040
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
Army Research LaboratoryUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Fonds de recherche du Québec - Nature et technologies (FRQNT)UNSPECIFIED
Issue or Number:24
Record Number:CaltechAUTHORS:20201215-085507736
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201215-085507736
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107082
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Dec 2020 20:07
Last Modified:15 Dec 2020 20:07

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