Optimal Entanglement Witnesses for Qubits and Qutrits

Details Optimal Entanglement Witnesses for Qubits and Qutrits Optimal Entanglement Witnesses for Qubits and Qutrits

2005-08-04

arxiv.org/abs/quant-ph/0508043v2

Phys. Rev. A 72, 052331 (2005)

Physics

Quantum Physics

16 pages, 5 figures

Scientific paper

10.1103/PhysRevA.72.052331

We study the connection between the Hilbert-Schmidt measure of entanglement (that is the minimal distance of an entangled state to the set of separable states) and entanglement witness in terms of a generalized Bell inequality which distinguishes between entangled and separable states. A method for checking the nearest separable state to a given entangled one is presented. We illustrate the general results by considering isotropic states, in particular 2-qubit and 2-qutrit states -- and their generalizations to arbitrary dimensions -- where we calculate the optimal entanglement witnesses explicitly.

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