Łukasz Rudnicki, Zbigniew Puchała, Paweł Horodecki, Karol Zyczkowski
We derive a simple lower bound on the geometric measure of entanglement for mixed quantum states in the case of a general multipartite system. Obtained bound leads to natural entanglement criteria with a straightforward interpretation. The main ingredient of the presented derivation is the triangle inequality applied to the root infidelity distance in the space of density matrices. Proposed criteria lead in the two qubit case to an experimentally accessible, powerful entanglement test, faithful also for a family of full rank mixed states.
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http://arxiv.org/abs/1211.2306
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