Entropic bounds for the quantum marginal problem

Tobias J. Osborne

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arXiv · 0806.2962

Entropic bounds for the quantum marginal problem

Tobias J. Osborne

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Abstract

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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Tobias J. Osborne. 2008-06-18. Entropic bounds for the quantum marginal problem. https://arxiv.org/abs/0806.2962

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