dorsal/arxiv
View SchemaEnergy-Sensitive and "Classical-like" Distances Between Quantum States
| Authors | V. V. Dodonov, O. V. Man'ko, V. I. Man'ko, A. Wuensche |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9810085 |
| URL | https://arxiv.org/abs/quant-ph/9810085 |
| DOI | 10.1238/Physica.Regular.059a00081 |
| Journal | Phys.Scripta 59 (1999) 81-89 |
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.
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"abstract": "We introduce the concept of the ``polarized\u0027\u0027 distance, which distinguishes\nthe orthogonal states with different energies. We also give new inequalities\nfor the known Hilbert-Schmidt distance between neighbouring states and express\nthis distance in terms of the quasiprobability distributions and the normally\nordered moments. Besides, we discuss the distance problem in the framework of\nthe recently proposed ``classical-like\u0027\u0027 formulation of quantum mechanics,\nbased on the symplectic tomography scheme. The examples of the Fock, coherent,\n``Schroedinger cats,\u0027\u0027 squeezed, phase, and thermal states are considered.",
"arxiv_id": "quant-ph/9810085",
"authors": [
"V. V. Dodonov",
"O. V. Man\u0027ko",
"V. I. Man\u0027ko",
"A. Wuensche"
],
"categories": [
"quant-ph"
],
"doi": "10.1238/Physica.Regular.059a00081",
"journal_ref": "Phys.Scripta 59 (1999) 81-89",
"title": "Energy-Sensitive and \"Classical-like\" Distances Between Quantum States",
"url": "https://arxiv.org/abs/quant-ph/9810085"
},
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