Compressibility of Positive Semidefinite Factorizations and Quantum Models


We tend to investigate compressibility of the dimension of positive semidefinite matrices, whereas approximately preserving their pairwise inner products. This will either be thought to be compression of positive semidefinite factorizations of nonnegative matrices or (if the matrices are subject to additional normalization constraints) as compression of quantum models. We tend to derive each lower and upper bounds on compressibility. Applications are broad and range from the analysis of experimental information to bounding the one-manner quantum Communication complexity of Boolean functions.

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