Probing the Page transition via approximate quantum error correction
Abstract In recent years, there is a huge progress in understanding the black hole information problem, and the key is that the black hole entropy of radiation should be calculated by the island formula, which describes the Page curve to ensure the unitarity of black hole evaporation. In the paper,...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)086 |
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| _version_ | 1823863484363833344 |
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| author | Haocheng Zhong |
| author_facet | Haocheng Zhong |
| author_sort | Haocheng Zhong |
| collection | DOAJ |
| description | Abstract In recent years, there is a huge progress in understanding the black hole information problem, and the key is that the black hole entropy of radiation should be calculated by the island formula, which describes the Page curve to ensure the unitarity of black hole evaporation. In the paper, we find that the black hole evaporation interpreted by the island formula can be understood in the language of approximate quantum error correction. Furthermore, the Page transition, as a special property of the Page curve, should be understood as the property of approximate quantum error correction itself, i.e. a general class of quantum systems under certain conditions from approximate quantum error correction can also exhibit phenomenon similar to the Page transition. |
| format | Article |
| id | doaj-art-d6500967e8e44280ba33926c0f07e702 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-d6500967e8e44280ba33926c0f07e7022025-02-09T12:06:56ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112810.1007/JHEP01(2025)086Probing the Page transition via approximate quantum error correctionHaocheng Zhong0Shing-Tung Yau Center of Southeast UniversityAbstract In recent years, there is a huge progress in understanding the black hole information problem, and the key is that the black hole entropy of radiation should be calculated by the island formula, which describes the Page curve to ensure the unitarity of black hole evaporation. In the paper, we find that the black hole evaporation interpreted by the island formula can be understood in the language of approximate quantum error correction. Furthermore, the Page transition, as a special property of the Page curve, should be understood as the property of approximate quantum error correction itself, i.e. a general class of quantum systems under certain conditions from approximate quantum error correction can also exhibit phenomenon similar to the Page transition.https://doi.org/10.1007/JHEP01(2025)086Black HolesAdS-CFT CorrespondenceBlack Holes in String TheoryModels of Quantum Gravity |
| spellingShingle | Haocheng Zhong Probing the Page transition via approximate quantum error correction Journal of High Energy Physics Black Holes AdS-CFT Correspondence Black Holes in String Theory Models of Quantum Gravity |
| title | Probing the Page transition via approximate quantum error correction |
| title_full | Probing the Page transition via approximate quantum error correction |
| title_fullStr | Probing the Page transition via approximate quantum error correction |
| title_full_unstemmed | Probing the Page transition via approximate quantum error correction |
| title_short | Probing the Page transition via approximate quantum error correction |
| title_sort | probing the page transition via approximate quantum error correction |
| topic | Black Holes AdS-CFT Correspondence Black Holes in String Theory Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP01(2025)086 |
| work_keys_str_mv | AT haochengzhong probingthepagetransitionviaapproximatequantumerrorcorrection |