Ground state degeneracy on torus in a family of ZN toric code
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0134010
Abstract: Topologically ordered phases in 2 + 1 dimensions are generally characterized by three mutually related features: fractionalized (anyonic) excitations, topological entanglement entropy, and robust ground state degeneracy that does not require symmetry protection or spontaneous… read more here.
Keywords: toric code; degeneracy; ground state; state degeneracy ... See more keywords
Symmetries for a high-level neural decoder on the toric code
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.102.042411
Abstract: Surface codes are a promising method of quantum error correction and the basis of many proposed quantum computation implementations. However, their efficient decoding is still not fully explored. Recently, approaches based on machine learning techniques… read more here.
Keywords: symmetries high; toric code; code; decoder ... See more keywords
Superconducting quantum simulator for topological order and the toric code
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review A"
DOI: 10.1103/physreva.95.042330
Abstract: Topological order is now being established as a central criterion for characterizing and classifying ground states of condensed matter systems and complements categorizations based on symmetries. Fractional quantum Hall systems and quantum spin liquids are… read more here.
Keywords: quantum simulator; toric code; topological order;
String order parameters for symmetry fractionalization in an enriched toric code
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.103.125104
Abstract: We study a simple model of symmetry-enriched topological order obtained by decorating a toric code model with lower-dimensional symmetry-protected topological states. We show that the symmetry fractionalization in this model can be characterized by string… read more here.
Keywords: toric code; order; symmetry fractionalization; order parameters ... See more keywords
Electric Probe for the Toric Code Phase in Kitaev Materials through the Hyperfine Interaction.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review letters"
DOI: 10.1103/physrevlett.127.047201
Abstract: The Kitaev model is a remarkable spin model with gapped and gapless spin liquid phases, which are potentially realized in iridates and α-RuCl_{3}. In the recent experiment of α-RuCl_{3}, the signature of a nematic transition… read more here.
Keywords: toric code; code phase; kitaev; code ... See more keywords