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The document discusses the multiplicativity of maximal p-norms under tensor products for completely positive maps. It proves that when p=2, the maximal 2-norm is multiplicative, meaning the 2-norm of the tensor product of two maps is equal to the product of the individual 2-norms. It gives a condition under which this holds - if the adjoint map composed with itself has real eigenvalues. This includes maps for which multiplicativity fails for larger p. It raises open questions about when equality holds betwe

Author

gejikeiji

Language

EN