How to detect a possible correlation from the information of a sub-system in quantum mechanical systems

Details How to detect a possible correlation from the information of a sub-system in quantum mechanical systems How to detect a possible correlation from the information of a sub-system in quantum mechanical systems

2007-05-29

arxiv.org/abs/0705.4225v1

Phys. Rev. A 76, 042123 (2007)

Physics

Quantum Physics

7 pages, 1 figure

Scientific paper

10.1103/PhysRevA.76.042123

A possibility to detect correlations between two quantum mechanical systems only from the information of a subsystem is investigated. For generic cases, we prove that there exist correlations between two quantum systems if the time-derivative of the reduced purity is not zero. Therefore, an experimentalist can conclude non-zero correlations between his/her system and some environment if he/she finds the time-derivative of the reduced purity is not zero. A quantitative estimation of a time-derivative of the reduced purity with respect to correlations is also given. This clarifies the role of correlations in the mechanism of decoherence in open quantum systems.

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