Quantum MacWilliams Identities

Details Quantum MacWilliams Identities Quantum MacWilliams Identities

1996-10-25

arxiv.org/abs/quant-ph/9610040v1

Physics

Quantum Physics

3 pages in RevTex, the paper is also avalaible at http://qso.lanl.gov/qc/

Scientific paper

We derive a relationship between two different notions of fidelity (entanglement fidelity and average fidelity) for a completely depolarizing quantum channel. This relationship gives rise to a quantum analog of the MacWilliams identities in classical coding theory. These identities relate the weight enumerator of a code to the one of its dual and, with linear programming techniques, provided a powerful tool to investigate the possible existence of codes. The same techniques can be adapted to the quantum case. We give examples of their power.

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