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Mary Beth Ruskai, Tufts University

Abstract

Subtitle: A numerical project that needs HELP

After Shor's proof of equivalence of additivity conjectures, attention shifted from capacity and entanglement of formation to the seemingly easier questions of minimal output entropy. Despite existence proofs for non-additivity in high dimensions, explicit examples remain elusive. It may be that the violations for minimal output entropy are so small and require such large dimensions, that numerical searches won't find them.

Mary Beth Ruskai, Tufts University

Abstract

It is well known that the set of m-body reduced density matrices of N-body states (possibly satisfying a symmetry constraint) is convex. This also holds for vectors of m-body quantum marginals.