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In this paper, a characterization of maps between quantum states that preserve pure states and strict convex combinations is obtained. Based on this characterization, a structural theorem for maps between multipartite quantum states that preserve separable pure states and strict convex combinations is established. Then these results are applied to characterize injective local quantum measurements and answer some conjectures proposed in J.Phys.A:Math.Theor. 45 2012 205305.



Author: Lihua Yang; Jinchuan Hou

Source: https://archive.org/



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