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arXiv 2004.08241quant-ph
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SICs:一些解释

SICs: Some explanations

Ingemar Bengtsson

摘要:

最大等角紧框架的构造问题是由Zauner在1998年提出的。四年前,人们意识到这个问题与数论中的一个重大开放问题密切相关。我们讨论了为什么这样的连接也许是可以预期的,并给出了一个简化的草图,在过去的四年中发生的一些事态发展。其目的,迄今尚未实现,是证明存在的SIC在一个无限序列的层面。

英文摘要:

The problem of constructing maximal equiangular tight frames or SICs was raised by Zauner in 1998. Four years ago it was realized that the problem is closely connected to a major open problem in number theory. We discuss why such a connection was perhaps to be expected, and give a simplified sketch of some developments that have taken place in the past four years. The aim, so far unfulfilled, is to prove existence of SICs in an infinite sequence of dimensions.

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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