Classical Statistics Inherent in a Quantum Density Matrix

Details Classical Statistics Inherent in a Quantum Density Matrix Classical Statistics Inherent in a Quantum Density Matrix

2005-04-22

arxiv.org/abs/quant-ph/0504172v1

Physics

Quantum Physics

10 pages, 3 figures

Scientific paper

10.1103/PhysRevA.72.022322

A density matrix formulation of classical bipartite correlations is constructed. This leads to an understanding of the appearance of classical statistical correlations intertwined with the quantum correlations as well as a physical underpinning of these correlations. As a byproduct of this analysis, a physical basis of the classical statistical correlations leading to additive entropy in a bipartite system discussed recently by Tsallis et al emerges as inherent classical spin fluctuations. It is found that in this example, the quantum correlations shrink the region of additivity in phase space.

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