English

Classical extension of quantum-correlated separable states

Quantum Physics 2015-05-27 v1

Abstract

Li and Luo [Phys. Rev. A 78 (2008), 024303] discovered a remarkable relation between discord and entanglement. It establishes that all separable states can be obtained via reduction of a classicaly-correlated state "living" in a space of larger dimension. Starting from this result, we discuss here an optimal classical extension of separable states and explore this notion for low-dimensional systems. We find that the larger the dimension of the classical extension, the larger the discord in the original separable state. Further, we analyze separable states of maximum discord of two qubits, and their associated classical extensions.

Keywords

Cite

@article{arxiv.1504.02077,
  title  = {Classical extension of quantum-correlated separable states},
  author = {Guido Bellomo and Angelo Plastino and Angel R. Plastino},
  journal= {arXiv preprint arXiv:1504.02077},
  year   = {2015}
}

Comments

13 pages, 5 figures. To be published in Int. J. Quantum Info

R2 v1 2026-06-22T09:12:56.900Z