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dc.contributor.authorRaveendran, N.
dc.contributor.authorVasic, Bane
dc.date.accessioned2021-11-29T20:25:20Z
dc.date.available2021-11-29T20:25:20Z
dc.date.issued2021
dc.identifier.citationRaveendran, N., & Vasic, B. (2021). Trapping Sets of Quantum LDPC Codes. Quantum.
dc.identifier.issn2521-327X
dc.identifier.doi10.22331/Q-2021-10-14-562
dc.identifier.urihttp://hdl.handle.net/10150/662430
dc.description.abstractIterative decoders for finite length quantum low-density parity-check (QLDPC) codes are attractive because their hardware complexity scales only linearly with the number of physical qubits. However, they are impacted by short cycles, detrimental graphical configurations known as trapping sets (TSs) present in a code graph as well as symmetric degeneracy of errors. These factors significantly degrade the decoder decoding probability performance and cause so-called error floor. In this paper, we establish a systematic methodology by which one can identify and classify quantum trapping sets (QTSs) according to their topological structure and decoder used. The conventional definition of a TS from classical error correction is generalized to address the syndrome decoding scenario for QLDPC codes. We show that the knowledge of QTSs can be used to design better QLDPC codes and decoders. Frame error rate improvements of two orders of magnitude in the error floor regime are demonstrated for some practical finite-length QLDPC codes without requiring any post-processing. © 2022 Universidad Nacional. All rights reserved.
dc.language.isoen
dc.publisherVerein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
dc.rightsCopyright remains with the original copyright holders such as the authors or their institutions. Published under CC-BY 4.0.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleTrapping Sets of Quantum LDPC Codes
dc.typeArticle
dc.typetext
dc.contributor.departmentDepartment of Electrical and Computer Engineering, University of Arizona
dc.identifier.journalQuantum
dc.description.noteOpen access journal
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
dc.eprint.versionFinal published version
dc.source.journaltitleQuantum
refterms.dateFOA2021-11-29T20:25:20Z


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Copyright remains with the original copyright holders such as the authors or their institutions. Published under CC-BY 4.0.
Except where otherwise noted, this item's license is described as Copyright remains with the original copyright holders such as the authors or their institutions. Published under CC-BY 4.0.