Single-Shot Fault-Tolerant Quantum Error Correction
Conventional quantum error correcting codes require multiple rounds of measurements to detect errors with enough confidence in fault-tolerant scenarios. Here, I show that for suitable topological codes, a single round of local measurements is enough. This feature is generic and is related to self-co...
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| Format: | Article |
| Language: | English |
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American Physical Society
2015-09-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.5.031043 |
| _version_ | 1818727481224462336 |
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| author | Héctor Bombín |
| author_facet | Héctor Bombín |
| author_sort | Héctor Bombín |
| collection | DOAJ |
| description | Conventional quantum error correcting codes require multiple rounds of measurements to detect errors with enough confidence in fault-tolerant scenarios. Here, I show that for suitable topological codes, a single round of local measurements is enough. This feature is generic and is related to self-correction and confinement phenomena in the corresponding quantum Hamiltonian model. Three-dimensional gauge color codes exhibit this single-shot feature, which also applies to initialization and gauge fixing. Assuming the time for efficient classical computations to be negligible, this yields a topological fault-tolerant quantum computing scheme where all elementary logical operations can be performed in constant time. |
| first_indexed | 2024-12-17T22:14:47Z |
| format | Article |
| id | doaj.art-e1941aea49434b318149f4bc8a4b0ec1 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-17T22:14:47Z |
| publishDate | 2015-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-e1941aea49434b318149f4bc8a4b0ec12022-12-21T21:30:39ZengAmerican Physical SocietyPhysical Review X2160-33082015-09-015303104310.1103/PhysRevX.5.031043Single-Shot Fault-Tolerant Quantum Error CorrectionHéctor BombínConventional quantum error correcting codes require multiple rounds of measurements to detect errors with enough confidence in fault-tolerant scenarios. Here, I show that for suitable topological codes, a single round of local measurements is enough. This feature is generic and is related to self-correction and confinement phenomena in the corresponding quantum Hamiltonian model. Three-dimensional gauge color codes exhibit this single-shot feature, which also applies to initialization and gauge fixing. Assuming the time for efficient classical computations to be negligible, this yields a topological fault-tolerant quantum computing scheme where all elementary logical operations can be performed in constant time.http://doi.org/10.1103/PhysRevX.5.031043 |
| spellingShingle | Héctor Bombín Single-Shot Fault-Tolerant Quantum Error Correction Physical Review X |
| title | Single-Shot Fault-Tolerant Quantum Error Correction |
| title_full | Single-Shot Fault-Tolerant Quantum Error Correction |
| title_fullStr | Single-Shot Fault-Tolerant Quantum Error Correction |
| title_full_unstemmed | Single-Shot Fault-Tolerant Quantum Error Correction |
| title_short | Single-Shot Fault-Tolerant Quantum Error Correction |
| title_sort | single shot fault tolerant quantum error correction |
| url | http://doi.org/10.1103/PhysRevX.5.031043 |
| work_keys_str_mv | AT hectorbombin singleshotfaulttolerantquantumerrorcorrection |