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arXiv quant-ph/0401026quant-phmath-phmath.MPmath.OA
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关于p = 2时极大p-模乘性的注记

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

Christopher King, Mary Beth Ruskai

摘要:

本文研究了与完全正映射相联系的极大p-范数及其在张量积下的乘法性问题。我们给出了一个条件下,这种乘法保持p = 2时,我们描述了一些地图,满足我们的条件。这个类包括地图的乘法是已知的失败大p。我们的工作提出了一些问题的独立感兴趣的矩阵理论,这些都在两个附录中讨论。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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