In a recent article, Gharibian (Phys Rev A 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 $$X$$ X states, there is a unique (up to local unitary equivalence) maximal separable state of rank two. For the general case, we derive some necessary conditions.
Quantum Information Processing – Springer Journals
Published: Oct 31, 2014
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