Single-shot fault-tolerant quantum error correction
| Autor: | Bombin, H. |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Phys. Rev. X 5, 031043 (2015) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevX.5.031043 |
| Popis: | 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. 3D gauge color codes exhibit this single-shot feature, which applies also to initialization and gauge-fixing. Assuming the time for efficient classical computations negligible, this yields a topological fault-tolerant quantum computing scheme where all elementary logical operations can be performed in constant time. Comment: Typos corrected after publication in journal, 26 pages, 4 figures |
| Databáze: | arXiv |
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