# Matrix bootstrap Positivity condition is a powerful tool for obtaining bounds for observables in matrix quantum mechanics. It is in the form of a set of constraints on the Hankel matrices of statistical moments. It is related to the Hamburger problem in statistics. ## Refs - original - [[2016#Anderson, Kruczenski]] - main - [[2020#Lin]] - [[2020#Han, Hartnoll, Kruthoff]] - [[2021#Kazakov, Zheng]] - ambiguity problem - [[2026#Morita, Piensuk, Soni]]: for some potentials, the spectrum cannot be obtained using the usual positivity bootstrap - recent work - [[2025#Lin, Zheng]]: high-precision, multi-matrix