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Entanglement and the truncated moment problem
F. Bohnet-Waldraff, D. Braun, O. Giraud·April 7, 2017·DOI: 10.1103/PhysRevA.96.032312
Physics
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Abstract
We map the quantum entanglement problem onto the mathematically well-studied truncated moment problem. This yields a necessary and sufficient condition for separability that can be checked by a hierarchy of semidefinite programs. The algorithm always gives a certificate of entanglement if the state is entangled. If the state is separable, typically a certificate of separability is obtained in a finite number of steps and an explicit decomposition into separable pure states can be extracted.