2013/11/07 by Swapan Rana, Preeti Parashar
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1007/s11128-014-0865-0
published as Quantum Info. Process. 13, 2815 (2014) · Preliminary draft, comment(s)/suggestion(s) welcome!
arxiv created 2013/11/07 · arxiv updated 2018/06/12
In a recent article S. Gharibian [\hrefhttp://dx.doi.org/10.1103/PhysRevA.86.042106Phys. Rev. A \bf 86, 042106 (2012)] has conjectured that no two qubit separable state of rank greater than two could be maximally non classical (defined to be those which have normalized geometric discord 1/4) and asked for an analytic proof. In this work we prove analytically that among the subclass of X states, there is a unique (up to local unitary equivalence) maximal separable state of rank two. Partial progress has been made towards the general problem and some necessary conditions have been derived.