Tight upper bounds on Schur-concave function differences are derived under m-partial majorization of quantum states, with applications to entropy and a new ε-sufficient majorization rank for states with finite entropy.
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Partial majorization and Schur concave functions on the sets of quantum and classical states
Tight upper bounds on Schur-concave function differences are derived under m-partial majorization of quantum states, with applications to entropy and a new ε-sufficient majorization rank for states with finite entropy.