Improved Gilbert–Varshamov Bound for Entanglement-Assisted Asymmetric Quantum Error Correction by Symplectic Orthogonality

We propose and prove an existential theorem for entanglement-assisted asymmetric quantum error correction. Then, we demonstrate its superiority over the conventional one.

Bibliographic Details
Main Author: Ryutaroh Matsumoto
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Transactions on Quantum Engineering
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9076251/
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spelling doaj-b60e261154f24c4dac8dd00ac4c8eda52021-06-03T23:09:46ZengIEEEIEEE Transactions on Quantum Engineering2689-18082020-01-0111410.1109/TQE.2020.29784549076251Improved Gilbert–Varshamov Bound for Entanglement-Assisted Asymmetric Quantum Error Correction by Symplectic OrthogonalityRyutaroh Matsumoto0https://orcid.org/0000-0002-5085-8879Department of Information and Communication Engineering, Nagoya University, NagoyaJapanWe propose and prove an existential theorem for entanglement-assisted asymmetric quantum error correction. Then, we demonstrate its superiority over the conventional one.https://ieeexplore.ieee.org/document/9076251/Asymmetric quantum error correctionentanglement-assisted quantum error correctionGilbert–Varshamov (GV) bound
collection DOAJ
language English
format Article
sources DOAJ
author Ryutaroh Matsumoto
spellingShingle Ryutaroh Matsumoto
Improved Gilbert–Varshamov Bound for Entanglement-Assisted Asymmetric Quantum Error Correction by Symplectic Orthogonality
IEEE Transactions on Quantum Engineering
Asymmetric quantum error correction
entanglement-assisted quantum error correction
Gilbert–Varshamov (GV) bound
author_facet Ryutaroh Matsumoto
author_sort Ryutaroh Matsumoto
title Improved Gilbert–Varshamov Bound for Entanglement-Assisted Asymmetric Quantum Error Correction by Symplectic Orthogonality
title_short Improved Gilbert–Varshamov Bound for Entanglement-Assisted Asymmetric Quantum Error Correction by Symplectic Orthogonality
title_full Improved Gilbert–Varshamov Bound for Entanglement-Assisted Asymmetric Quantum Error Correction by Symplectic Orthogonality
title_fullStr Improved Gilbert–Varshamov Bound for Entanglement-Assisted Asymmetric Quantum Error Correction by Symplectic Orthogonality
title_full_unstemmed Improved Gilbert–Varshamov Bound for Entanglement-Assisted Asymmetric Quantum Error Correction by Symplectic Orthogonality
title_sort improved gilbert–varshamov bound for entanglement-assisted asymmetric quantum error correction by symplectic orthogonality
publisher IEEE
series IEEE Transactions on Quantum Engineering
issn 2689-1808
publishDate 2020-01-01
description We propose and prove an existential theorem for entanglement-assisted asymmetric quantum error correction. Then, we demonstrate its superiority over the conventional one.
topic Asymmetric quantum error correction
entanglement-assisted quantum error correction
Gilbert–Varshamov (GV) bound
url https://ieeexplore.ieee.org/document/9076251/
work_keys_str_mv AT ryutarohmatsumoto improvedgilbertx2013varshamovboundforentanglementassistedasymmetricquantumerrorcorrectionbysymplecticorthogonality
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