QUANTUM-ERROR CORRECTION AND ORTHOGONAL GEOMETRY

Authors
CALDERBANK AR RAINS EM SHOR PW SLOANE NJA
Citation
Ar. Calderbank et al., QUANTUM-ERROR CORRECTION AND ORTHOGONAL GEOMETRY, Physical review letters, 78(3), 1997, pp. 405-408
Citations number
20
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
78
Issue
3
Year of publication
1997
Pages
405 - 408
Database
ISI
SICI code
0031-9007(1997)78:3<405:QCAOG>2.0.ZU;2-C
Abstract
A group theoretic framework is introduced that simplifies the descript ion of known quantum error-correcting codes and greatly facilitates th e 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 1 3 qubits correcting 2 errors, and 1 to 29 qubits correcting 5 errors.