Quantum measurements and maps preserving strict convex combinations and pure states
Quantum Physics
2013-05-31 v2
Abstract
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].
Keywords
Cite
@article{arxiv.1301.7551,
title = {Quantum measurements and maps preserving strict convex combinations and pure states},
author = {Lihua Yang and Jinchuan Hou},
journal= {arXiv preprint arXiv:1301.7551},
year = {2013}
}
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24 pages