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MiS Preprint
4/2017
von Neumann measurement-related matrices and the nullity condition for quantum correlation
Ming-Jing Zhao, Teng Ma, Ting-Gui Zhang and Shao-Ming Fei
Abstract
We study the von Neumann measurement on an $m$-dimensional quantum system. The properties of the matrices related to von Neumann measurement are investigated. It is shown that such $(m^2-1)\times (m^2-1)$ matrices are idempotent and have rank $m-1$. These properties give rise to necessary conditions for the nullity of quantum correlations in bipartite systems. Finally, as an example we discuss quantum correlation in Bell diagonal states.
