Energy-Sensitive and "Classical-like" Distances Between Quantum States
量子物理
2009-10-31 v1
摘要
We introduce the concept of the ``polarized'' distance, which distinguishes the orthogonal states with different energies. We also give new inequalities for the known Hilbert-Schmidt distance between neighbouring states and express this distance in terms of the quasiprobability distributions and the normally ordered moments. Besides, we discuss the distance problem in the framework of the recently proposed ``classical-like'' formulation of quantum mechanics, based on the symplectic tomography scheme. The examples of the Fock, coherent, ``Schroedinger cats,'' squeezed, phase, and thermal states are considered.
引用
@article{arxiv.quant-ph/9810085,
title = {Energy-Sensitive and "Classical-like" Distances Between Quantum States},
author = {V. V. Dodonov and O. V. Man'ko and V. I. Man'ko and A. Wuensche},
journal= {arXiv preprint arXiv:quant-ph/9810085},
year = {2009}
}
备注
23 pages, LaTex, 2 eps figures, to appear in Physica Scripta