A crossed multi-copy pairing of entanglement witnesses detects entangled states that the individual witnesses and the standard same-copy pairing fail to detect.
⊗Wn such that Tr( Wρ⊗ k ent)< 0 for some entangled states ρent, while Tr( Wρ⊗ k sep) ≥ 0 for all separable states, where k depends on the local dimension and n
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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.