A complete picture of the four-party linear inequalities in terms of the 0-entropy
Zhiwei Song,
Lin Chen,
Yize Sun
et al.
Abstract:Multipartite quantum system is complex. Characterizing the relations among the three bipartite reduced density operators ρAB, ρAC and ρBC of a tripartite state ρABC has been an open problem in quantum information. One of such relations has been reduced by [Cadney et al, LAA. 452, 153, 2014] to a conjectured inequality in terms of matrix rank, namely r(ρAB) • r(ρAC ) ≥ r(ρBC ) for any ρABC . It is denoted as open problem 41 in the website "Open quantum problems-IQOQI Vienna". We prove the inequality, and thus… Show more
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