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

Toshio Sakata, Lin Chen, Toshio Sumi, Mitsuhiro Miyazaki
2009 arXiv   pre-print
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.
arXiv:0911.1663v1 fatcat:u7lqlcaw6ze67klfs6u6f5ffv4