A Classification of Incomparable States

Abstract

Let {|ψ〉 , |φ〉} be an incomparable pair of states (|ψ〉 = |φ〉), i.e., |ψ〉 and |φ〉 cannot be transformed to each other with probability one by local transformations and classical communication (LOCC). We show that incomparable states can be multiple-copy transformable, i.e., there can exist a k, such that |ψ〉 → |φ〉, i.e., k+1 copies of |ψ〉 can be transformed… (More)

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