Entangled Qubit States and Linear Entropy in the Probability Representation of Quantum Mechanics

The superposition states of two qubits including entangled Bell states are considered in the probability representation of quantum mechanics. The superposition principle formulated in terms of the nonlinear addition rule of the state density matrices is formulated as a nonlinear addition rule of the...

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Autores principales: Chernega, Vladimir N., Man’ko, Olga V., Man’ko, Vladimir I.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9025286/
https://www.ncbi.nlm.nih.gov/pubmed/35455190
http://dx.doi.org/10.3390/e24040527
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author Chernega, Vladimir N.
Man’ko, Olga V.
Man’ko, Vladimir I.
author_facet Chernega, Vladimir N.
Man’ko, Olga V.
Man’ko, Vladimir I.
author_sort Chernega, Vladimir N.
collection PubMed
description The superposition states of two qubits including entangled Bell states are considered in the probability representation of quantum mechanics. The superposition principle formulated in terms of the nonlinear addition rule of the state density matrices is formulated as a nonlinear addition rule of the probability distributions describing the qubit states. The generalization of the entanglement properties to the case of superposition of two-mode oscillator states is discussed using the probability representation of quantum states.
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spelling pubmed-90252862022-04-23 Entangled Qubit States and Linear Entropy in the Probability Representation of Quantum Mechanics Chernega, Vladimir N. Man’ko, Olga V. Man’ko, Vladimir I. Entropy (Basel) Article The superposition states of two qubits including entangled Bell states are considered in the probability representation of quantum mechanics. The superposition principle formulated in terms of the nonlinear addition rule of the state density matrices is formulated as a nonlinear addition rule of the probability distributions describing the qubit states. The generalization of the entanglement properties to the case of superposition of two-mode oscillator states is discussed using the probability representation of quantum states. MDPI 2022-04-09 /pmc/articles/PMC9025286/ /pubmed/35455190 http://dx.doi.org/10.3390/e24040527 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/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 (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Chernega, Vladimir N.
Man’ko, Olga V.
Man’ko, Vladimir I.
Entangled Qubit States and Linear Entropy in the Probability Representation of Quantum Mechanics
title Entangled Qubit States and Linear Entropy in the Probability Representation of Quantum Mechanics
title_full Entangled Qubit States and Linear Entropy in the Probability Representation of Quantum Mechanics
title_fullStr Entangled Qubit States and Linear Entropy in the Probability Representation of Quantum Mechanics
title_full_unstemmed Entangled Qubit States and Linear Entropy in the Probability Representation of Quantum Mechanics
title_short Entangled Qubit States and Linear Entropy in the Probability Representation of Quantum Mechanics
title_sort entangled qubit states and linear entropy in the probability representation of quantum mechanics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9025286/
https://www.ncbi.nlm.nih.gov/pubmed/35455190
http://dx.doi.org/10.3390/e24040527
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