Universal framework for entanglement detection
Abstract
We construct nonlinear multiparty entanglement measures for distinguishable particles, bosons, and fermions. In each case properties of an entanglement measure are related to the decomposition of the suitably chosen representation of the relevant symmetry group onto irreducible components. In the case of distinguishable particles considered entanglement measure reduces to the wellknown manyparticle concurrence. We prove that our entanglement criterion is sufficient and necessary for pure states living in both finite and infinite dimensional spaces. We generalize our entanglement measures to mixed states by the convex roof extension and give a nontrivial lower bound of thus obtained generalized concurrence.
 Publication:

Physical Review A
 Pub Date:
 November 2013
 DOI:
 10.1103/PhysRevA.88.052328
 arXiv:
 arXiv:1306.2376
 Bibcode:
 2013PhRvA..88e2328O
 Keywords:

 03.67.Mn;
 03.65.Fd;
 Entanglement production characterization and manipulation;
 Algebraic methods;
 Mathematical Physics;
 Quantum Physics
 EPrint:
 minor changes added to the manuscript