Subsystem codes

44th Annual Allerton Conference on Communication, Control, and Computing 2006

Volumn 2, Issue , 2006, Pages 528-535

  Aly, Salah A ^a   Klappenecker, Andreas ^a   Sarvepalli, Pradeep Kiran ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR PROGRAMMING; QUANTUM NOISE;

GILBERT-VARSHAMOV BOUND; QUANTUM ERROR CORRECTING CODES; UPPER BOUND;

CODES (SYMBOLS);

EID: 57449117985     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. D. Bacon. Operator quantum error correcting subsystems for selfcorrecting quantum memories. Phys. Rev. A, 73(012340), 2006.
2. W. Bosma, J.J. Cannon, and C. Playoust. The Magma algebra system I: The user language. J. Symb. Comp., 24:235-266, 1997.
3. A.R. Calderbank, E.M. Rains, P.W. Shor, and N.J.A. Sloane. Quantum error correction via codes over GF(4). IEEE Trans. Inform. Theory, 44:1369-1387, 1998.
4. L.C. Grove. Classical Groups and Geometric Algebra. Graduate Studies in Mathematics. American Mathematical Society, 2001.
5. A. Ketkar, A. Klappenecker, S. Kumar, and P.K. Sarvepalli. Nonbinary stabilizer codes over finite fields. To appear in IEEE Trans. Inform. Theory, November, 2006.
6. A. Klappenecker and P. K. Sarvepalli. Clifford code constructions of operator quantum error-correcting codes. 2006.
7. E. Knill. On protected realizations of quantum information. Eprint: Quant-ph/0603252, 2006.
8. D. W. Kribs. A brief introduction to operator quantum error correction. Eprint: Math/0506491, 2005.
9. D. W. Kribs, R. Laflamme, and D. Poulin. Unified and generalized approach to quantum error correction. Phys. Rev. Lett., 94(180501), 2005.
10. D. W. Kribs, R. Laflamme, D. Poulin, and M. Lesosky. Operator quantum error correction. Eprint: Quant-ph/0504189, 2005.
11. D. Poulin. Stabilizer formalism for operator quantum error correction. Phys. Rev. Lett., 95(230504), 2005.
12. E.M. Rains. Nonbinary quantum codes. IEEE Trans. Inform. Theory, 45:1827-1832, 1999.