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arXiv quant-ph/0512154quant-phmath.COmath.RA
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复阿达玛矩阵简明指南

A concise guide to complex Hadamard matrices

Wojciech Tadej, Karol Zyczkowski

摘要:

复Hadamard矩阵由具有任意相位的幺模元素组成,在量子信息理论中起着重要的作用。我们回顾了复阿达玛矩阵的基本性质,并提出了一个目录的不等价的情况下,维数N=2,.,16.特别地,我们给出了N= 12,14和16的复Hadamard矩阵族,这在现有文献中是找不到的.

英文摘要:

Complex Hadamard matrices, consisting of unimodular entries with arbitrary phases, play an important role in the theory of quantum information. We review basic properties of complex Hadamard matrices and present a catalogue of inequivalent cases known for dimension N=2,...,16. In particular, we explicitly write down some families of complex Hadamard matrices for N=12,14 and 16, which we could not find in the existing literature.

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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