Quantum error correction and orthogonal geometry
Journal Article (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