English

Statistical-mechanical description of quantum entanglement

Quantum Physics 2008-08-27 v3

Abstract

We present a description of finite dimensional quantum entanglement, based on a study of the space of all convex decompositions of a given density matrix. On this space we construct a system of real polynomial equations describing separable states. We further study this system using statistical mechanical methods. Finally, we apply our techniques to Werner states of two qubits and obtain a sufficient criterion for separability.

Keywords

Cite

@article{arxiv.0704.3357,
  title  = {Statistical-mechanical description of quantum entanglement},
  author = {J. K. Korbicz and F. Hulpke and A. Osterloh and M. Lewenstein},
  journal= {arXiv preprint arXiv:0704.3357},
  year   = {2008}
}
R2 v1 2026-06-21T08:22:13.807Z