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

IF 0.7 4区物理与天体物理 Q3 COMPUTER SCIENCE, THEORY & METHODS

Quantum Information & Computation Pub Date : 2004-01-07 DOI:10.26421/QIC4.6-7-9

C. King, M. Ruskai

引用次数: 38

Abstract

We consider the maximal p-norm associated with a completely positivemap and the question of its multiplicativity under tensor products. Wegive a condition under which this multiplicativity holds when p = 2, andwe describe some maps which satisfy our condition. This class includesmaps 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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关于p=2时最大p -范数的乘法性的注释

研究了与完全正映射相关的极大p-范数及其在张量积下的可乘法性问题。我们给出了当p = 2时这个乘法性成立的一个条件，并描述了一些满足这个条件的映射。我们的工作提出了一些在矩阵理论中独立的兴趣问题;这些在两个附录中进行了讨论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quantum Information & Computation 物理-计算机：理论方法

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

3.3 months

期刊介绍： Quantum Information & Computation provides a forum for distribution of information in all areas of quantum information processing. Original articles, survey articles, reviews, tutorials, perspectives, and correspondences are all welcome. Computer science, physics and mathematics are covered. Both theory and experiments are included. Illustrative subjects include quantum algorithms, quantum information theory, quantum complexity theory, quantum cryptology, quantum communication and measurements, proposals and experiments on the implementation of quantum computation, communications, and entanglement in all areas of science including ion traps, cavity QED, photons, nuclear magnetic resonance, and solid-state proposals.