A new measure of nonclassical distance

Details A new measure of nonclassical distance A new measure of nonclassical distance

1999-08-31

arxiv.org/abs/quant-ph/9908089v1

Physics

Quantum Physics

14 pages, LaTeX, IOP journal preprint style, no figures, submitted to Journal of Physics A: Math. Gen., September 1999

Scientific paper

We propose a new measure of the nonclassical distance in the case of Gaussian states. Let us consider two Gaussian states one of which is fixed and the other runs through the set of Gaussian classical states. The maximum value of the fidelity between these two states can be used as a nonclassical distance of the fixed state to the set of classical states, in the same extent as the Hillery measure. This measure increases when on the fixed state acts a Gaussian noise map i.e. the selected state becomes closer to the classical states.

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