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Quantum error correction and orthogonal geometry

Publication ,  Journal Article
Calderbank, AR; Rains, EM; Shor, PW; Sloane, NJA
Published in: Physical Review Letters
January 20, 1997
Published version (DOI)

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. © 1997 The American Physical Society.

Duke Scholars

Robert Calderbank
Author Robert Calderbank Computer Science
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Published In

Physical Review Letters

DOI

10.1103/PhysRevLett.78.405

EISSN

1079-7114

ISSN

0031-9007

Publication Date

January 20, 1997

Volume

78

Issue

3

Start / End Page

405 / 408

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Calderbank, A. R., Rains, E. M., Shor, P. W., & Sloane, N. J. A. (1997). Quantum error correction and orthogonal geometry. Physical Review Letters, 78(3), 405–408. https://doi.org/10.1103/PhysRevLett.78.405
Calderbank, A. R., E. M. Rains, P. W. Shor, and N. J. A. Sloane. “Quantum error correction and orthogonal geometry.” Physical Review Letters 78, no. 3 (January 20, 1997): 405–8. https://doi.org/10.1103/PhysRevLett.78.405.
Calderbank AR, Rains EM, Shor PW, Sloane NJA. Quantum error correction and orthogonal geometry. Physical Review Letters. 1997 Jan 20;78(3):405–8.
Calderbank, A. R., et al. “Quantum error correction and orthogonal geometry.” Physical Review Letters, vol. 78, no. 3, Jan. 1997, pp. 405–08. Scopus, doi:10.1103/PhysRevLett.78.405.
Calderbank AR, Rains EM, Shor PW, Sloane NJA. Quantum error correction and orthogonal geometry. Physical Review Letters. 1997 Jan 20;78(3):405–408.

Published In

Physical Review Letters

DOI

10.1103/PhysRevLett.78.405

EISSN

1079-7114

ISSN

0031-9007

Publication Date

January 20, 1997

Volume

78

Issue

3

Start / End Page

405 / 408

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences