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quant-ph1996★ 5 cited
Quantum Weight Enumerators
Eric M. Rains
In a recent paper ([quant-ph/9610040]), Shor and Laflamme define two ``weight enumerators'' for quantum error correcting codes, connected by a MacWilliams transform, and use them t…
quant-ph1996★ 3 cited
Quantum shadow enumerators
E. M. Rains
In a recent paper [quant-ph/9610040], Shor and Laflamme define two ``weight enumerators'' for quantum error correcting codes, connected by a MacWilliams transform, and use them to…
quant-ph1996★ 823 cited
Quantum Error Correction and Orthogonal Geometry
A. R. Calderbank, E. M Rains, P. W. Shor +1
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 ar…