Entanglement for multipartite systems of indistinguishable particles
Mathematical Physics
2011-11-08 v3 math.MP
Quantum Physics
Abstract
We analyze the concept of entanglement for multipartite system with bosonic and fermionic constituents and its generalization to systems with arbitrary parastatistics. We use the representation theory of symmetry groups to formulate a unified approach to this problem in terms of simple tensors with appropriate symmetry. For an arbitrary parastatistics, we define the S-rank generalizing the notion of the Schmidt rank. The S-rank, defined for all types of tensors, serves for distinguishing entanglement of pure states. In addition, for Bose and Fermi statistics, we construct an analog of the Jamiolkowski isomorphism.
Cite
@article{arxiv.1012.0758,
title = {Entanglement for multipartite systems of indistinguishable particles},
author = {Janusz Grabowski and Marek Kus and Giuseppe Marmo},
journal= {arXiv preprint arXiv:1012.0758},
year = {2011}
}
Comments
23 pages, minor corrections, the final version to appear in J. Phys. A.: Math. Theor