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arXiv 0911.1663quant-ph
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统计高维数据中的张量秩问题与量子信息理论:方法与结果的比较

Tensor rank problem in statistical high-dimensional data and quantum information theory:their comparisons on the methods and the results

Toshio Sakata, Lin Chen, Toshio Sumi, Mitsuhiro Miyazaki

摘要:

量子通信关注的是状态纠缠的复杂性,而统计数据分析关注的是模型的复杂性。两者的共同关键词是“等级”。在本文中,我们将表明,这两个社区正在跟踪相同的目标,所使用的方法略有不同。两种不同的方法,量子通信的距离判据方法和行列式多项式方法,作为例子。

英文摘要:

Quantum communication is concerned with the complexity of entanglement of a state and statistical data analysis is concerned with the complexity of a model. A common key word for both is "rank". In this paper we will show that both community is tracing the same target and that the methods used are slightly different. Two different methods, the range criterion method from quantum communication and the determinant polynomial method, are shown as an examples.

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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