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.
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Transactions on Quantum Engineering |
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| Online Access: | https://ieeexplore.ieee.org/document/9076251/ |
| _version_ | 1818739500021448704 |
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| author | Ryutaroh Matsumoto |
| author_facet | Ryutaroh Matsumoto |
| author_sort | Ryutaroh Matsumoto |
| collection | DOAJ |
| description | We propose and prove an existential theorem for entanglement-assisted asymmetric quantum error correction. Then, we demonstrate its superiority over the conventional one. |
| first_indexed | 2024-12-18T01:25:49Z |
| format | Article |
| id | doaj.art-b60e261154f24c4dac8dd00ac4c8eda5 |
| institution | Directory Open Access Journal |
| issn | 2689-1808 |
| language | English |
| last_indexed | 2024-12-18T01:25:49Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Transactions on Quantum Engineering |
| spelling | doaj.art-b60e261154f24c4dac8dd00ac4c8eda52022-12-21T21:25:45ZengIEEEIEEE 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 |
| 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 |
| title | 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_short | Improved Gilbert–Varshamov Bound for Entanglement-Assisted Asymmetric Quantum Error Correction by Symplectic Orthogonality |
| title_sort | improved gilbert x2013 varshamov bound for entanglement assisted asymmetric quantum error correction by symplectic orthogonality |
| 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 |