Document Type
Article
Department/Program
Mathematics
Journal Title
Journal of Functional Analysis
Pub Date
2013
Volume
264
Issue
2
First Page
464
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.
Recommended Citation
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.
DOI
10.1016/j.jfa.2012.11.005
