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Higher-order topological superconductors as generators of quantum codes

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 16 Aug 2019Embargo end date: 03 Mar 2020 United States English Publisher:American Physical Society (APS)Journal:Physical Review B, volume 100 (issn: 2469-9950, eissn: 2469-9969, Copyright policy )Funded by:DFG | unidentified
Authors: Yizhi You; Daniel Litinski; Felix von Oppen;

doi: 10.1103/physrevb.100.054513 , 10.17169/refubium-26576 , 10.48550/arxiv.1810.10556

arXiv: 1810.10556

Higher-order topological superconductors as generators of quantum codes

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.

Country
United States
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Keywords

High Energy Physics - Theory, topological superconductors, Condensed Matter - Mesoscale and Nanoscale Physics, Strongly Correlated Electrons (cond-mat.str-el), Condensed Matter - Superconductivity, 500 Naturwissenschaften und Mathematik::530 Physik::530 Physik, FOS: Physical sciences, 530, topological quantum computing, Superconductivity (cond-mat.supr-con), Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory (hep-th), 539, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), topological phases of matter, quantum error correction

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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 40
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 1%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
40
Top 10%
Top 10%
Top 1%
Green
hybrid