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Quantum communication is concerned with the complexity of entanglement of astate and statistical data analysis is concerned with the complexity of amodel. A common key word for both is "rank". In this paper we will show thatboth community is tracing the same target and that the methods used areslightly different. Two different methods, the range criterion method fromquantum communication and the determinant polynomial method, are shown as anexamples.

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