Estimating purity in terms of correlation functions

Physics – Quantum Physics

Scientific paper

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3 pages

Scientific paper

10.1103/PhysRevA.67.062108

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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