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

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.

Bibliographic Details
Main Authors: Xiao-Dong Yu, Timo Simnacher, Nikolai Wyderka, H. Chau Nguyen, Otfried Gühne
Format: Article
Language:English
Published: Nature Publishing Group 2021-02-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-020-20799-5