Quantum codes from classical graphical models
We introduce a new graphical framework for designing quantum error correction codes based on classical principles. A key feature of this graphical language, over previous approaches, is that it is closely related to that of factor graphs or graphical models in classical information theory and machin...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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Institute of Electrical and Electronics Engineers
2019
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| _version_ | 1797071613756178432 |
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| author | Roffe, J Zohren, S Horsman, D Chancellor, N |
| author_facet | Roffe, J Zohren, S Horsman, D Chancellor, N |
| author_sort | Roffe, J |
| collection | OXFORD |
| description | We introduce a new graphical framework for designing quantum error correction codes based on classical principles. A key feature of this graphical language, over previous approaches, is that it is closely related to that of factor graphs or graphical models in classical information theory and machine learning. It enables us to formulate the description of the recently-introduced ‘coherent parity check’ quantum error correction codes entirely within the language of classical information theory. This makes our construction accessible without requiring background in quantum error correction or even quantum mechanics in general. More importantly, this allows for a collaborative interplay where one can design new quantum error correction codes derived from classical codes. |
| first_indexed | 2024-03-06T22:55:52Z |
| format | Journal article |
| id | oxford-uuid:60596f72-9371-43d1-b49e-216cc05fb95b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:55:52Z |
| publishDate | 2019 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | oxford-uuid:60596f72-9371-43d1-b49e-216cc05fb95b2022-03-26T17:52:58ZQuantum codes from classical graphical modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:60596f72-9371-43d1-b49e-216cc05fb95bEnglishSymplectic ElementsInstitute of Electrical and Electronics Engineers2019Roffe, JZohren, SHorsman, DChancellor, NWe introduce a new graphical framework for designing quantum error correction codes based on classical principles. A key feature of this graphical language, over previous approaches, is that it is closely related to that of factor graphs or graphical models in classical information theory and machine learning. It enables us to formulate the description of the recently-introduced ‘coherent parity check’ quantum error correction codes entirely within the language of classical information theory. This makes our construction accessible without requiring background in quantum error correction or even quantum mechanics in general. More importantly, this allows for a collaborative interplay where one can design new quantum error correction codes derived from classical codes. |
| spellingShingle | Roffe, J Zohren, S Horsman, D Chancellor, N Quantum codes from classical graphical models |
| title | Quantum codes from classical graphical models |
| title_full | Quantum codes from classical graphical models |
| title_fullStr | Quantum codes from classical graphical models |
| title_full_unstemmed | Quantum codes from classical graphical models |
| title_short | Quantum codes from classical graphical models |
| title_sort | quantum codes from classical graphical models |
| work_keys_str_mv | AT roffej quantumcodesfromclassicalgraphicalmodels AT zohrens quantumcodesfromclassicalgraphicalmodels AT horsmand quantumcodesfromclassicalgraphicalmodels AT chancellorn quantumcodesfromclassicalgraphicalmodels |