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Phys. Rev. A 67, 062108 (2003) [3 pages]

Estimation of purity in terms of correlation functions

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Tomaž Prosen1, Thomas H. Seligman2, and Marko Žnidarič1
1Physics Department, FMF, University of Ljubljana, Ljubljana, Slovenia
2Centro de Ciencias Físicas, University of Mexico (UNAM), Cuernavaca, Mexico

Received 8 January 2003; published 26 June 2003

We prove a rigorous inequality that estimates 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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.062108
DOI:
10.1103/PhysRevA.67.062108
PACS:
03.65.Yz, 42.50.Ct, 32.80.Qk