Quantum weight enumerators

IEEE Transactions on Information Theory

Volumn 44, Issue 4, 1998, Pages 1388-1394

  Rains, Eric M ^a  

^a AT AND T LABS RESEARCH   (United States)

Author keywords

Weight enumerators g ary quantum codes

Indexed keywords

CODES (SYMBOLS); ERROR CORRECTION; MATHEMATICAL TRANSFORMATIONS; SIGNAL ENCODING;

DUALITY TRANSFORM; QUANTUM ERROR CORRECTING CODES; QUANTUM WEIGHT ENUMERATORS;

INFORMATION THEORY;

EID: 0032124004     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.681316     Document Type: Article

References (6)

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2. A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane, "Quantum error correction via codes over GF(4)," this issue, pp. 1369-1387.
3. M. Grassl, T. Beth, and T. Pellizzari, "Codes for thé quantum erasure channel," Phys. Rev. A. vol. 56, no. 1, pp. 33-38, 1997. Also, LANL e-print quant-ph/9610042.
4. E. Knill and R. Laflamme, "A theory of quantum error correcting codes," Phys. Rev. A, vol. 55, pp. 900-911, 1997. Also, LANL e-print quant-ph/9604034, [5] F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes. New York: North-Holland, 1977.
5. E. M. Rains, "Quantum shadow enumerators," LANL e-print quantph/9611001.
6. _, "Polynomial invariants of quantum codes," LANL e-print quantph/9704042. [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. Also LANL e-print quant-ph/9610040.