Entanglement Detection by Approximate Entanglement Witnesses

Abstract:The problem of determining whether a given quantum state is separable is known to be computationally difficult. We develop an approach to this problem based on approximations of convex polytopes in high dimensions. By showing that a convex polytope constructed from a finite number of hyperplanes approximates the Euclidean ball arbitrarily well in high dimensions, we find evidence that a finite set of approximate entanglement witnesses is potentially sufficient to determine the entanglement of a state with high probability.

arXiv:2402.14755 [quant-ph]

(or arXiv:2402.14755v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2402.14755 Focus to learn more arXiv-issued DOI via DataCite

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