Quantum shadow enumerators

IEEE Transactions on Information Theory

Volumn 45, Issue 7, 1999, Pages 2361-2366

  Rains, Eric M ^a  

^a AT AND T LABS RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR CORRECTION; LINEAR PROGRAMMING;

QUANTUM ERROR-CORRECTING CODES; SHADOW CODES;

CODES (SYMBOLS);

EID: 0033344877     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.796376     Document Type: Article

References (8)

1. 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, vol. 44, pp. 1369-1387, July1998. LANL e-print quant-ph/9608006.
2. J. H. Conway and N. J. A. Sloane, "A new upper bound on the minimal distance of self-dual codes," IEEE Trans. Inform. Theory, vol. 36, pp. 1319-1333, Nov. 1990.
3. E. Knill and R. Laflamme, "A theory of quantum error correcting codes," Phys. Rev. A, vol. 55, pp. 900-911, 1997. LANL e-print quant-ph/9604034.
4. F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes. Amsterdam, The netherlands: North-Holland, 1977.
5. E. M. Rains, "Quantum weight enumerators," IEEE Trans. Inform. Theory, vol. 44, pp. 1388-1394, July 1998. LANL e-print quantph/9612015.
6. _, "Shadow bounds for self-dual codes," IEEE Trans. Inform. Theory, vol. 44, pp. 134-139, Jan. 1998.
7. E. M. Rains and N. J. A. Sloane, "Self-dual codes," in Handbook of Coding Theory, V. S. Pless, W. C. Huffman, and R. A. Brualdi, Eds. Amsterdam, The Netherlands: Elsevier, 1998.
8. P. W. Shor and R. Laflamme, "Quantum analog of the MacWilliams identities in classical coding theory," Phys. Rev. Lett., vol. 78, pp. 1600-1602, 1997.