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There is a commonly recognized paradigm in which a multipartite quantumsystem described by a density matrix having no product eigenbasis is consideredto possess nonclassical correlation. Supporting this paradigm, we define twoentropic measures of nonclassical correlation of a multipartite quantum system.One is defined as the minimum uncertainty about a joint system after we collectoutcomes of particular local measurements. The other is defined by taking themaximum over all local systems about the minimum distance between a genuine setand 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 eigenvaluesof a reduced density matrix of a local system from eigenvalues of a densitymatrix of a global system. Numerical computation of these measures for severalexamples is performed.Comment: 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.

Nonclassical correlation in a multipartite quantum system: Two measures and evaluation