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A geometric characterization of invertible quantum measurement maps
He, Kan Hou, Jin-Chuan Li, Chi-Kwong
He, Kan
Hou, Jin-Chuan
Li, Chi-Kwong
Abstract
A geometric characterization is given for invertible quantum measurement maps. Denote by S(H) the convex set of all states (i.e., trace I positive operators) on Hilbert space H with dim H S(H) satisfies phi ([rho(1), rho(2)]) subset of [phi(rho(1)), phi(rho(2))] for any rho(1), rho(2) is an element of S if and only if phi has one of the following forms rho bar right arrow M rho M*/tr(M rho M*) or rho bar right arrow M rho T M*/tr(M rho T M*), where M is an invertible bounded linear operator and rho(T) is the transpose of rho with respect to an arbitrarily fixed orthonormal basis. (C) 2012 Published by Elsevier Inc.
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2013-01-01
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He, K., Hou, J. C., & Li, C. K. (2013). A geometric characterization of invertible quantum measurement maps. Journal of Functional Analysis, 264(2), 464-478.
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Mathematics
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10.1016/j.jfa.2012.11.005