English

Constructive entanglement test from triangle inequality

Quantum Physics 2016-05-11 v3

Abstract

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. Proposed criteria provide an experimentally accessible, powerful entanglement test.

Keywords

Cite

@article{arxiv.1211.2306,
  title  = {Constructive entanglement test from triangle inequality},
  author = {Łukasz Rudnicki and Zbigniew Puchała and Paweł Horodecki and Karol Zyczkowski},
  journal= {arXiv preprint arXiv:1211.2306},
  year   = {2016}
}

Comments

8 pages, 4 figures

R2 v1 2026-06-21T22:36:04.367Z