Comments on multiplicativity of maximal p-norms when p = 2

Details Comments on multiplicativity of maximal p-norms when p = 2 Comments on multiplicativity of maximal p-norms when p = 2

2004-01-07

arxiv.org/abs/quant-ph/0401026v1

Quantum Inf. Comput. 4, 500-512 (2004)

Physics

Quantum Physics

16 pages. For the Festschrift in honor of A. Holevo's 60th birthday

Scientific paper

We consider the maximal p-norm associated with a completely positive map and the question of its multiplicativity under tensor products. We give a condition under which this multiplicativity holds when p = 2, and we describe some maps which satisfy our condition. This class includes maps for which multiplicativity is known to fail for large p. Our work raises some questions of independent interest in matrix theory; these are discussed in two appendices.

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