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Quantum marginal problem and N-representability

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arxiv quant-ph/0511102 v1 pith:AUAQ5IAK submitted 2005-11-10 quant-ph

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keywords problemquantummarginaln-representabilityresearchaccountcamechallenges
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A variant of the quantum marginal problem was known from early sixties as N-representability problem. In 1995 it was designated by National Research Council of USA as one of ten most prominent research challenges in quantum chemistry. In spite of this recognition the progress was very slow, until a couple of years ago the problem came into focus again, now in framework of quantum information theory. In the paper I give an account of the recent development.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Plethysm is in #BQP

    quant-ph 2026-02 conditional novelty 8.0 of 10

    Plethysm coefficients and general branching multiplicities for products of general linear groups are computable in #BQP.

  2. Hankel and Multiplication Tensor Completions for Cactus Rank

    math.AC 2026-06 unverdicted novelty 6.0 of 10

    Establishes equivalence between Hankel flat extension and multiplication tensor completion for cactus rank in Artinian Gorenstein algebras, plus reduction of basis shapes via Borel-fixed staircases.

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