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Estimating purity in terms of correlation functions

Quantum Physics 2009-11-10 v1

Abstract

We prove a rigorous inequality estimating the purity of a reduced density matrix of a composite quantum system in terms of cross-correlation of the same state and an arbitrary product state. Various immediate applications of our result are proposed, in particular concerning Gaussian wave-packet propagation under classically regular dynamics.

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Cite

@article{arxiv.quant-ph/0304103,
  title  = {Estimating purity in terms of correlation functions},
  author = {Tomaz Prosen and Thomas H. Seligman and Marko Znidaric},
  journal= {arXiv preprint arXiv:quant-ph/0304103},
  year   = {2009}
}

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3 pages