English

Some aspects of quantum entanglement for CAR systems

Mathematical Physics 2007-05-23 v2 math.MP Operator Algebras

Abstract

We study quantum entanglement for CAR systems. Since the subsystems of disjoint regions are not independent for CAR systems, there are some distinct features of quantum entanglement which cannot be observed in tensor product systems. We show the failure of triangle inequality of von Neumann and the possible increase of entanglement degree under operations done in a local region for a bipartite CAR system.

Keywords

Cite

@article{arxiv.math-ph/0110022,
  title  = {Some aspects of quantum entanglement for CAR systems},
  author = {Hajime Moriya},
  journal= {arXiv preprint arXiv:math-ph/0110022},
  year   = {2007}
}

Comments

12pages, no figure. This is a revised version of our paper "Entanglement and non-separability of CAR systems". Some corrections are made and the title is changed to the present one according to the alteration of the contents

R2 v1 2026-07-22T16:20:45.631Z