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

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Submission date: 04. Jan. 2017
Pages: 13
published in: Science in China : physics, mechanics and astronomy, 59 (2016) 12, art-no. 120313 
DOI number (of the published article): 10.1007/s11433-016-0356-2
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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 (m2 1) × (m2 1) matrices are idempotent and have rank m1. 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.

02.07.2022, 02:18