Construction of optimal witness for unknown two-qubit entanglement

Details Construction of optimal witness for unknown two-qubit entanglement Construction of optimal witness for unknown two-qubit entanglement

2010-06-08

arxiv.org/abs/1006.1491v3

Physics

Quantum Physics

Phys. Rev. Lett. 105, 230404 (2010); supplementary information (OWitness_sup.pdf) is included in source zip file

Scientific paper

10.1103/PhysRevLett.105.230404

Whether entanglement in a state can be detected, distilled, and quantified without full state reconstruction is a fundamental open problem. We demonstrate a new scheme encompassing these three tasks for arbitrary two-qubit entanglement, by constructing the optimal entanglement witness for polarization-entangled mixed-state photon pairs without full state reconstruction. With better efficiency than quantum state tomography, the entanglement is maximally distilled by newly developed tunable polarization filters, and quantified by the expectation value of the witness, which equals the concurrence. This scheme is extendible to multiqubit Greenberger-Horne-Zeilinger entanglement.

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