Error Threshold for Color Codes and Random Three-Body Ising Models
We study the error threshold of color codes, a class of topological quantum codes that allow a direct implementation of quantum Clifford gates suitable for entanglement distillation, teleportation, and fault-tolerant quantum computation. We map the error-correction process onto a statistical mechani...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/51774 |
| _version_ | 1826210285583597568 |
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| author | Bombin, Hector Martin-Delgado, M. A. Katzgraber, Helmut G. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Bombin, Hector Martin-Delgado, M. A. Katzgraber, Helmut G. |
| author_sort | Bombin, Hector |
| collection | MIT |
| description | We study the error threshold of color codes, a class of topological quantum codes that allow a direct implementation of quantum Clifford gates suitable for entanglement distillation, teleportation, and fault-tolerant quantum computation. We map the error-correction process onto a statistical mechanical random three-body Ising model and study its phase diagram via Monte Carlo simulations. The obtained error threshold of pc=0.109(2) is very close to that of Kitaev’s toric code, showing that enhanced computational capabilities do not necessarily imply lower resistance to noise. |
| first_indexed | 2024-09-23T14:47:22Z |
| format | Article |
| id | mit-1721.1/51774 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:47:22Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/517742022-09-29T10:32:58Z Error Threshold for Color Codes and Random Three-Body Ising Models Bombin, Hector Martin-Delgado, M. A. Katzgraber, Helmut G. Massachusetts Institute of Technology. Department of Physics Bombin, Hector Bombin, Hector We study the error threshold of color codes, a class of topological quantum codes that allow a direct implementation of quantum Clifford gates suitable for entanglement distillation, teleportation, and fault-tolerant quantum computation. We map the error-correction process onto a statistical mechanical random three-body Ising model and study its phase diagram via Monte Carlo simulations. The obtained error threshold of pc=0.109(2) is very close to that of Kitaev’s toric code, showing that enhanced computational capabilities do not necessarily imply lower resistance to noise. 2010-02-17T16:47:51Z 2010-02-17T16:47:51Z 2009-08 2009-03 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/51774 Katzgraber, Helmut G., H. Bombin, and M. A. Martin-Delgado. “Error Threshold for Color Codes and Random Three-Body Ising Models.” Physical Review Letters 103.9 (2009): 090501. © 2009 The American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevLett.103.090501 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Bombin, Hector Martin-Delgado, M. A. Katzgraber, Helmut G. Error Threshold for Color Codes and Random Three-Body Ising Models |
| title | Error Threshold for Color Codes and Random Three-Body Ising Models |
| title_full | Error Threshold for Color Codes and Random Three-Body Ising Models |
| title_fullStr | Error Threshold for Color Codes and Random Three-Body Ising Models |
| title_full_unstemmed | Error Threshold for Color Codes and Random Three-Body Ising Models |
| title_short | Error Threshold for Color Codes and Random Three-Body Ising Models |
| title_sort | error threshold for color codes and random three body ising models |
| url | http://hdl.handle.net/1721.1/51774 |
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