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Higher-order topological superconductors as generators of quantum codes

You, Yizhi and Litinski, Daniel and von Oppen, Felix (2019) Higher-order topological superconductors as generators of quantum codes. Physical Review B, 100 (5). Art. No. 054513. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20190816-100424619

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Abstract

We show that interactions can drive a class of higher order topological superconductors (HOTSCs) into symmetry-enriched topologically ordered phases exemplified by topological quantum error correcting codes. In two dimensions, interacting HOTSCs realize various topologically ordered surface and color codes. In three dimensions, interactions can drive HOTSCs protected by subsystem symmetries into recently discovered fracton phases. We explicitly relate fermion parity operators underlying the gapless excitations of the HOTSC to the Wilson algebra of symmetry-enriched quantum codes. Arrays of crossed Majorana wires provide an experimental platform for realizing fracton matter and for probing the quantum phase transition between HOTSCs and the topologically ordered phase.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.100.054513DOIArticle
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.054513PublisherArticle
https://arxiv.org/abs/1810.10556arXivDiscussion Paper
ORCID:
AuthorORCID
You, Yizhi0000-0002-8115-8672
Additional Information:© 2019 American Physical Society. Received 21 November 2018; revised manuscript received 25 July 2019; published 16 August 2019. This work was supported in part by CRC 183 of the Deutsche Forschungsgemeinschaft (D.L. and F.v.O.) and the PCTS fellowship (Y.Y.). One of us (F.v.O.) is grateful for sabbatical support from the IQIM, an NSF physics frontier center funded in part by the Moore Foundation. Y.Y. and F.v.O. performed part of this work at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611.
Group:UNSPECIFIED, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)CRC 183
Princeton UniversityUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
NSFPHY-1607611
Issue or Number:5
Record Number:CaltechAUTHORS:20190816-100424619
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190816-100424619
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97943
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Aug 2019 20:19
Last Modified:04 Jun 2020 10:14

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