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'.
BT - J. Phys. A: Math. Theor. DO - 10.1088/1751-8113/47/42/424035 LA - eng M1 - 42 N1 - arXiv:1211.2306 N2 -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'.
PY - 2014 EP - 424035 T2 - J. Phys. A: Math. Theor. TI - Constructive entanglement test from triangle inequality UR - https://doi.org/10.1088/1751-8113/47/42/424035 VL - 47 ER -