Energy-sensitive and “Classical-like” Distances between Quantum States
- 1 February 1999
- journal article
- Published by IOP Publishing in Physica Scripta
- Vol. 59 (2) , 81-89
- https://doi.org/10.1238/physica.regular.059a00081
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 sympletic tomography scheme. The examples of Fock's, coherent, "Schrödinger cats", squeezed, phase and thermal states are considered.Keywords
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This publication has 83 references indexed in Scilit:
- Classical-like description of quantum dynamics by means of symplectic tomographyFoundations of Physics, 1997
- Symplectic tomography as classical approach to quantum systemsPhysics Letters A, 1996
- A geometric approach to quantum mechanicsFoundations of Physics, 1991
- Distance between quantum states and the motion of wave packetsEuropean Journal of Physics, 1990
- Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersionPhysical Review Letters, 1986
- Even and odd coherent states and excitations of a singular oscillatorPhysica, 1974
- Properties of the Generalized Coherent StatePhysical Review B, 1968
- Density Operators for Coherent FieldsPhysical Review B, 1966
- Coherent and Incoherent States of the Radiation FieldPhysical Review B, 1963
- On Unitary Ray Representations of Continuous GroupsAnnals of Mathematics, 1954