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arXiv · 1704.02277

Entanglement and the truncated moment problem

Fabian Bohnet-Waldraff·Daniel Braun·Olivier Giraud
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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 semi-definite 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.

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Fabian Bohnet-Waldraff, Daniel Braun, Olivier Giraud. 2017-04-07. Entanglement and the truncated moment problem. https://doi.org/10.1103/physreva.96.032312

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