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A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems

The evolution of an open system is usually associated with the interaction of the system with an environment. A new method to study the open-type system evolution of a qubit (two-level atom) state is established. This evolution is determined by a unitary transformation applied to the qutrit (three-l...

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Autores principales: López-Saldívar, Julio A., Castaños, Octavio, Man’ko, Margarita A., Man’ko, Vladimir I.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515265/
https://www.ncbi.nlm.nih.gov/pubmed/33267450
http://dx.doi.org/10.3390/e21080736
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author López-Saldívar, Julio A.
Castaños, Octavio
Man’ko, Margarita A.
Man’ko, Vladimir I.
author_facet López-Saldívar, Julio A.
Castaños, Octavio
Man’ko, Margarita A.
Man’ko, Vladimir I.
author_sort López-Saldívar, Julio A.
collection PubMed
description The evolution of an open system is usually associated with the interaction of the system with an environment. A new method to study the open-type system evolution of a qubit (two-level atom) state is established. This evolution is determined by a unitary transformation applied to the qutrit (three-level atom) state, which defines the qubit subsystems. This procedure can be used to obtain different qubit quantum channels employing unitary transformations into the qutrit system. In particular, we study the phase damping and spontaneous-emission quantum channels. In addition, we mention a proposal for quasiunitary transforms of qubits, in view of the unitary transform of the total qutrit system. The experimental realization is also addressed. The probability representation of the evolution and its information-entropic characteristics are considered.
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spelling pubmed-75152652020-11-09 A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems López-Saldívar, Julio A. Castaños, Octavio Man’ko, Margarita A. Man’ko, Vladimir I. Entropy (Basel) Article The evolution of an open system is usually associated with the interaction of the system with an environment. A new method to study the open-type system evolution of a qubit (two-level atom) state is established. This evolution is determined by a unitary transformation applied to the qutrit (three-level atom) state, which defines the qubit subsystems. This procedure can be used to obtain different qubit quantum channels employing unitary transformations into the qutrit system. In particular, we study the phase damping and spontaneous-emission quantum channels. In addition, we mention a proposal for quasiunitary transforms of qubits, in view of the unitary transform of the total qutrit system. The experimental realization is also addressed. The probability representation of the evolution and its information-entropic characteristics are considered. MDPI 2019-07-27 /pmc/articles/PMC7515265/ /pubmed/33267450 http://dx.doi.org/10.3390/e21080736 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
López-Saldívar, Julio A.
Castaños, Octavio
Man’ko, Margarita A.
Man’ko, Vladimir I.
A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems
title A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems
title_full A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems
title_fullStr A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems
title_full_unstemmed A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems
title_short A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems
title_sort new mechanism of open system evolution and its entropy using unitary transformations in noncomposite qudit systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515265/
https://www.ncbi.nlm.nih.gov/pubmed/33267450
http://dx.doi.org/10.3390/e21080736
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