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

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

2009-11-09

arxiv.org/abs/0911.1663v1

Physics

Quantum Physics

6 pages, presented at "The 21st Quantum Information Technology Symposium (QIT21)", Chofugaoka Chofu-shi, Tokyo, Japan, Novembe

Scientific paper

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.

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