Energy-Sensitive and "Classical-like" Distances Between Quantum States

Preprint

28 October 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/9810085

Abstract

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.

Keywords

CATS
CLASSICAL LIKE
ENERGY SENSITIVE
HILBERT SCHMIDT
ORTHOGONAL STATES
POLARIZED
QUANTUM STATES
QUASIPROBABILITY DISTRIBUTIONS
SENSITIVE
SYMPLECTIC TOMOGRAPHY

All Related Versions

Version 1, 1998-10-28, ArXiv
Published version: Physica Scripta, 59 (2), 81.

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