Topological defects in general quantum LDPC codes

We consider the structure of defects carrying quantum information in general quantum low-density parity-check (LDPC) codes. These generalize the corresponding constructions for topological quantum codes, without the need for locality. Relation of such defects to (generalized) topological entanglemen...

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Bibliographic Details
Published inarXiv.org
Main Authors Pak Kau Lim, Shtengel, Kirill, Pryadko, Leonid P
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.10.2019
Subjects
Binary system
Codes
Defects
Error correcting codes
Mathematics - Mathematical Physics
Physics - Mathematical Physics
Physics - Quantum Physics
Quantum entanglement
Quantum phenomena
Topology
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Summary:We consider the structure of defects carrying quantum information in general quantum low-density parity-check (LDPC) codes. These generalize the corresponding constructions for topological quantum codes, without the need for locality. Relation of such defects to (generalized) topological entanglement entropy is also discussed.
ISSN:2331-8422
DOI:10.48550/arxiv.1910.09646