Quantum error correction and orthogonal geometry

Published

Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Calderbank, AR; Rains, EM; Shor, PW; Sloane, NJA

Published Date

  • January 20, 1997

Published In

Volume / Issue

  • 78 / 3

Start / End Page

  • 405 - 408

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/PhysRevLett.78.405

Citation Source

  • Scopus