Unique determinability of multipartite quantum states from local marginals is robust to small errors, with global deviations bounded by a power law, linear robustness certifiable by SDP, and applications to scalable entanglement witnesses.
SinceP 0XP0 ⪰0implies eitherP 0XP0 = 0orTr(P 0XP0)>0, we test the existence of suchXin two distinct steps
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Quantum state determinability from local marginals is universally robust
Unique determinability of multipartite quantum states from local marginals is robust to small errors, with global deviations bounded by a power law, linear robustness certifiable by SDP, and applications to scalable entanglement witnesses.