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arxiv: 0806.2962 · v1 · submitted 2008-06-18 · 🪐 quant-ph

Entropic bounds for the quantum marginal problem

classification 🪐 quant-ph
keywords quantumproblemmarginalboundsentropicreducedstatesasks
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The quantum marginal problem asks, given a set of reduced quantum states of a multipartite system, whether there exists a joint quantum state consistent with these reduced states. The quantum marginal problem is known to be hard to solve in general as it is a variant of the N-representability problem. We provide entropic bounds on the number of orthogonal solutions to the quantum marginal problem.

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