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Universal observable detecting all two-qubit entanglement and determinant based separability tests

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arxiv quant-ph/0604109 v2 pith:IZ5KTRYM submitted 2006-04-14 quant-ph

Universal observable detecting all two-qubit entanglement and determinant based separability tests

classification quant-ph
keywords entanglementtwo-qubitdetectingfunctionlocalobservablestateuniversal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct a single observable measurement of which mean value on four copies of an {\it unknown} two-qubit state is sufficient for unambiguous decision whether the state is separable or entangled. In other words, there exists a universal collective entanglement witness detecting all two-qubit entanglement. The test is directly linked to a function which characterizes to some extent the entanglement quantitatively. This function is an entanglement monotone under so--called local pure operations and classical communication (pLOCC) which preserve local dimensions. Moreover it provides tight upper and lower bounds for negativity and concurrence. Elementary quantum computing device estimating unknown two-qubit entanglement is designed.

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Cited by 1 Pith paper

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    Polarized lepton beams can tune hyperon-antihyperon entanglement and Bell nonlocality, with transverse polarization capable of producing maximally entangled pairs.