Constructive entanglement test from triangle inequality

Author Rudnicki Ł.; Puchała Z.; Horodecki P.; Życzkowski K.
Title Constructive entanglement test from triangle inequality
Journal J. Phys. A: Math. Theor.
Year 2014
Status Published
Volume 47
Pages 424035
DOI 10.1088/1751-8113/47/42/424035
URL https://doi.org/10.1088/1751-8113/47/42/424035
Abstract <p>We derive a simple lower bound on the geometric measure of entanglement for mixed quantum states in the case of a general multipartite system. The main ingredient of the presented derivation is the triangle inequality applied to the root infidelity distance in the space of density matrices. The obtained bound leads to entanglement criteria with a straightforward interpretation. The proposed criteria provide an experimentally accessible, powerful entanglement test. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to '50 years of Bell's theorem'.</p>