A crossed multi-copy pairing of entanglement witnesses detects entangled states that the individual witnesses and the standard same-copy pairing fail to detect.
Entanglement Detection by Approximate Entanglement Witnesses
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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.
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Witness based nonlinear detection of quantum entanglement
A crossed multi-copy pairing of entanglement witnesses detects entangled states that the individual witnesses and the standard same-copy pairing fail to detect.