Nature Communications (Feb 2021)

A complete hierarchy for the pure state marginal problem in quantum mechanics

  • Xiao-Dong Yu,
  • Timo Simnacher,
  • Nikolai Wyderka,
  • H. Chau Nguyen,
  • Otfried Gühne

DOI
https://doi.org/10.1038/s41467-020-20799-5
Journal volume & issue
Vol. 12, no. 1
pp. 1 – 7

Abstract

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The quantum marginal problem interrogates the existence of a global pure quantum state with some given marginals. Here, the authors reformulate it as an optimisation problem, and specifically as the existence of a two-party separable state with additional semidefinite constraints.