Star-Product Formalism for the Probability and Mean-Value Representations of Qudits.
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| Title: | Star-Product Formalism for the Probability and Mean-Value Representations of Qudits. |
|---|---|
| Authors: | Adam, Peter1,2 (AUTHOR), Andreev, Vladimir A.3 (AUTHOR) andreevva@lebedev.ru, Man'ko, Margarita A.3 (AUTHOR), Man'ko, Vladimir I.3,4,5,6 (AUTHOR), Mechler, Matyas2 (AUTHOR) |
| Source: | Journal of Russian Laser Research. Sep2020, Vol. 41 Issue 5, p470-483. 14p. |
| Subjects: | Quantum operators, Probability theory, Physical constants, Density matrices |
| Abstract: | We develop the quantizer–dequantizer formalism for the probability and mean-value representations of qubits and qutrits. In these representations, the elements of symbols of operators are measurable physical quantities. We derive the star-product kernels, which lead to explicit expressions of the associative product of the symbols of the density operators and quantum observables for qubits. The extension of the quantizer–dequantizer formalism associated with the probability and mean-value descriptions of qudit states is discussed. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Russian Laser Research is the property of Springer Nature 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: 148390222 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Star-Product Formalism for the Probability and Mean-Value Representations of Qudits. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Adam%2C+Peter%22">Adam, Peter</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Andreev%2C+Vladimir+A%2E%22">Andreev, Vladimir A.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> andreevva@lebedev.ru</i><br /><searchLink fieldCode="AR" term="%22Man'ko%2C+Margarita+A%2E%22">Man'ko, Margarita A.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Man'ko%2C+Vladimir+I%2E%22">Man'ko, Vladimir I.</searchLink><relatesTo>3,4,5,6</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mechler%2C+Matyas%22">Mechler, Matyas</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Russian+Laser+Research%22">Journal of Russian Laser Research</searchLink>. Sep2020, Vol. 41 Issue 5, p470-483. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+operators%22">Quantum operators</searchLink><br /><searchLink fieldCode="DE" term="%22Probability+theory%22">Probability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Physical+constants%22">Physical constants</searchLink><br /><searchLink fieldCode="DE" term="%22Density+matrices%22">Density matrices</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We develop the quantizer–dequantizer formalism for the probability and mean-value representations of qubits and qutrits. In these representations, the elements of symbols of operators are measurable physical quantities. We derive the star-product kernels, which lead to explicit expressions of the associative product of the symbols of the density operators and quantum observables for qubits. The extension of the quantizer–dequantizer formalism associated with the probability and mean-value descriptions of qudit states is discussed. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Russian Laser Research is the property of Springer Nature 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: 10.1007/s10946-020-09900-x Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 470 Subjects: – SubjectFull: Quantum operators Type: general – SubjectFull: Probability theory Type: general – SubjectFull: Physical constants Type: general – SubjectFull: Density matrices Type: general Titles: – TitleFull: Star-Product Formalism for the Probability and Mean-Value Representations of Qudits. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Adam, Peter – PersonEntity: Name: NameFull: Andreev, Vladimir A. – PersonEntity: Name: NameFull: Man'ko, Margarita A. – PersonEntity: Name: NameFull: Man'ko, Vladimir I. – PersonEntity: Name: NameFull: Mechler, Matyas IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2020 Type: published Y: 2020 Identifiers: – Type: issn-print Value: 10712836 Numbering: – Type: volume Value: 41 – Type: issue Value: 5 Titles: – TitleFull: Journal of Russian Laser Research Type: main |
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