Superselection rules, quantum error correction, and quantum chromodynamics
Abstract We investigate the relationship between superselection rules and quantum error correcting codes. We demonstrate that the existence of a superselection rule implies the Knill-Laflamme condition in quantum error correction. As an example, we examine the code built from quantum chromodynamics,...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)236 |
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| _version_ | 1849470093689356288 |
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| author | Ning Bao ChunJun Cao Aidan Chatwin-Davies Gong Cheng Guanyu Zhu |
| author_facet | Ning Bao ChunJun Cao Aidan Chatwin-Davies Gong Cheng Guanyu Zhu |
| author_sort | Ning Bao |
| collection | DOAJ |
| description | Abstract We investigate the relationship between superselection rules and quantum error correcting codes. We demonstrate that the existence of a superselection rule implies the Knill-Laflamme condition in quantum error correction. As an example, we examine the code built from quantum chromodynamics, where the proton and neutron states in the model are explored as different superselection sectors that protect logical information. Finally we comment on topological quantum error correcting codes and supersymmetric quantum field theory within this framework. |
| format | Article |
| id | doaj-art-b91273f924af422eb80e8267e2fcaeed |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b91273f924af422eb80e8267e2fcaeed2025-08-20T03:25:15ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025512310.1007/JHEP05(2025)236Superselection rules, quantum error correction, and quantum chromodynamicsNing Bao0ChunJun Cao1Aidan Chatwin-Davies2Gong Cheng3Guanyu Zhu4Computational Science Initiative, Brookhaven National LabInstitute for Quantum Information and Matter, CaltechDepartment of Physics, University of Rhode IslandDepartment of Physics, Virginia TechIBM Quantum, T.J. Watson Research CenterAbstract We investigate the relationship between superselection rules and quantum error correcting codes. We demonstrate that the existence of a superselection rule implies the Knill-Laflamme condition in quantum error correction. As an example, we examine the code built from quantum chromodynamics, where the proton and neutron states in the model are explored as different superselection sectors that protect logical information. Finally we comment on topological quantum error correcting codes and supersymmetric quantum field theory within this framework.https://doi.org/10.1007/JHEP05(2025)236Global SymmetriesConfinementEffective Field Theories of QCD |
| spellingShingle | Ning Bao ChunJun Cao Aidan Chatwin-Davies Gong Cheng Guanyu Zhu Superselection rules, quantum error correction, and quantum chromodynamics Journal of High Energy Physics Global Symmetries Confinement Effective Field Theories of QCD |
| title | Superselection rules, quantum error correction, and quantum chromodynamics |
| title_full | Superselection rules, quantum error correction, and quantum chromodynamics |
| title_fullStr | Superselection rules, quantum error correction, and quantum chromodynamics |
| title_full_unstemmed | Superselection rules, quantum error correction, and quantum chromodynamics |
| title_short | Superselection rules, quantum error correction, and quantum chromodynamics |
| title_sort | superselection rules quantum error correction and quantum chromodynamics |
| topic | Global Symmetries Confinement Effective Field Theories of QCD |
| url | https://doi.org/10.1007/JHEP05(2025)236 |
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