Calculation of the Quantum Entanglement Measure of Bipartite States, Based on Relative Entropy, Using Genetic Algorithms
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| Title: | Calculation of the Quantum Entanglement Measure of Bipartite States, Based on Relative Entropy, Using Genetic Algorithms |
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| Authors: | Ramos, Rubens Viana1, Souza, Rui Fragassi2 |
| Source: | Journal of Computational Physics. Jan2002, Vol. 175 Issue 2, p576. 8p. |
| Subjects: | Genetic algorithms, Von Neumann algebras, Entropy (Information theory) |
| Abstract: | Quantum entanglement is an enigmatic and powerful property that has attracted much attention, since it provides new means of communication, such as quantum cryptography, quantum teleportation and superdense coding, and quantum computation. Therefore, the measure of entanglement of composite systems becomes crucial. For pure bipartite states the von Neumann entropy is a good measure and it is easily calculated; however, to quantify the entanglement of mixed states is a harder task. Some measures have been proposed, among them one based on relative entropy. This measure needs a minimization procedure. In this paper, we present an algorithm to calculate the quantum entanglement measure based on relative entropy, in which the required minimization procedure is done using a genetic algorithm. The main advantage of using a genetic algorithm is it is easier to implement than gradient methods are when the number of parameters is very large. [Copyright &y& Elsevier] |
| Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 8495542 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Calculation of the Quantum Entanglement Measure of Bipartite States, Based on Relative Entropy, Using Genetic Algorithms – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ramos%2C+Rubens+Viana%22">Ramos, Rubens Viana</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Souza%2C+Rui+Fragassi%22">Souza, Rui Fragassi</searchLink><relatesTo>2</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+Physics%22">Journal of Computational Physics</searchLink>. Jan2002, Vol. 175 Issue 2, p576. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Genetic+algorithms%22">Genetic algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Von+Neumann+algebras%22">Von Neumann algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Entropy+%28Information+theory%29%22">Entropy (Information theory)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Quantum entanglement is an enigmatic and powerful property that has attracted much attention, since it provides new means of communication, such as quantum cryptography, quantum teleportation and superdense coding, and quantum computation. Therefore, the measure of entanglement of composite systems becomes crucial. For pure bipartite states the von Neumann entropy is a good measure and it is easily calculated; however, to quantify the entanglement of mixed states is a harder task. Some measures have been proposed, among them one based on relative entropy. This measure needs a minimization procedure. In this paper, we present an algorithm to calculate the quantum entanglement measure based on relative entropy, in which the required minimization procedure is done using a genetic algorithm. The main advantage of using a genetic algorithm is it is easier to implement than gradient methods are when the number of parameters is very large. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1006/jcph.2001.6957 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 576 Subjects: – SubjectFull: Genetic algorithms Type: general – SubjectFull: Von Neumann algebras Type: general – SubjectFull: Entropy (Information theory) Type: general Titles: – TitleFull: Calculation of the Quantum Entanglement Measure of Bipartite States, Based on Relative Entropy, Using Genetic Algorithms Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ramos, Rubens Viana – PersonEntity: Name: NameFull: Souza, Rui Fragassi IsPartOfRelationships: – BibEntity: Dates: – D: 20 M: 01 Text: Jan2002 Type: published Y: 2002 Identifiers: – Type: issn-print Value: 00219991 Numbering: – Type: volume Value: 175 – Type: issue Value: 2 Titles: – TitleFull: Journal of Computational Physics Type: main |
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