Calderbank, A. R. and Rains, E. M. and Shor, P. W. and Sloane, N. J. A. (1997) Quantum Error Correction and Orthogonal Geometry. Physical Review Letters, 78 (3). pp. 405-408. ISSN 0031-9007. doi:10.1103/PhysRevLett.78.405. https://resolver.caltech.edu/CaltechAUTHORS:20170926-101535529
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Abstract
A group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples. Codes are given which map 3 qubits to 8 qubits correcting 1 error, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors, and 1 to 29 qubits correcting 5 errors.
| Item Type: | Article | ||||||||||||
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| Additional Information: | © 1997 American Physical Society. Received 9 May 1996; revised manuscript received 3 July 1996. We would like to thank David DiVincenzo for discussions about the group L as presented in [7]. | ||||||||||||
| Issue or Number: | 3 | ||||||||||||
| Classification Code: | PACS numbers: 03.65.Bz | ||||||||||||
| DOI: | 10.1103/PhysRevLett.78.405 | ||||||||||||
| Record Number: | CaltechAUTHORS:20170926-101535529 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170926-101535529 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 81831 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 26 Sep 2017 17:41 | ||||||||||||
| Last Modified: | 15 Nov 2021 19:46 |
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