Nonclassical correlation in a multipartite quantum system: two measures and evaluation
Abstract
There is a commonly recognized paradigm in which a multipartite quantum system described by a density matrix having no product eigenbasis is considered to possess nonclassical correlation. Supporting this paradigm, we define two entropic measures of nonclassical correlation of a multipartite quantum system. One is defined as the minimum uncertainty about a joint system after we collect outcomes of particular local measurements. The other is defined by taking the maximum over all local systems about the minimum distance between a genuine set and a mimic set of eigenvalues of a reduced density matrix of a local system. The latter measure is based on an artificial game to create mimic eigenvalues of a reduced density matrix of a local system from eigenvalues of a density matrix of a global system. Numerical computation of these measures for several examples is performed.
Cite
@article{arxiv.quant-ph/0703133,
title = {Nonclassical correlation in a multipartite quantum system: two measures and evaluation},
author = {Akira SaiToh and Robabeh Rahimi and Mikio Nakahara},
journal= {arXiv preprint arXiv:quant-ph/0703133},
year = {2008}
}
Comments
v1: 10 pages, 8 figures, IOPART, v2: introduction modified, figure 7 replaced, v3: 10 pages, 10 figures, RevTeX4, major revision with an additional measure introduced, title changed (previous title: Non-classical correlation in a multi-partite quantum system reconsidered), to appear in Phys. Rev. A