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Quantum Error Correction and Orthogonal Geometry

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.

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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.

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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
Record Number:CaltechAUTHORS:20170926-101535529
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81831
Deposited By: Tony Diaz
Deposited On:26 Sep 2017 17:41
Last Modified:15 Nov 2021 19:46

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