Nonnegative Discrete Symbols and Their Probabilistic Interpretation.
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| Title: | Nonnegative Discrete Symbols and Their Probabilistic Interpretation. |
|---|---|
| Authors: | Adam, Peter1, Andreev, Vladimir2 andrvlad@yandex.ru, Man'ko, Margarita2, Man'ko, Vladimir |
| Source: | Journal of Russian Laser Research. Nov2017, Vol. 38 Issue 6, p491-506. 16p. |
| Subjects: | Probabilistic number theory, Wigner distribution, Eigenvalues, Qubits, Quantization (Physics) |
| Abstract: | We review the quantizer-dequantizer formalism of constructing symbols of the density operators and quantum observables, such as Wigner functions and tomographic-probability distributions. We present a tutorial consideration of the technique of obtaining minimal sets of dequantizers (quorum) related to the observable eigenvalues for one-qubit states. We discuss a generalization of the quantizer-dequantizer scheme on the example of spin-1/2 states. We consider the possibilities of extending the results to two-qubit systems using spin tomograms of the state density matrix. [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: 126406192 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Nonnegative Discrete Symbols and Their Probabilistic Interpretation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Adam%2C+Peter%22">Adam, Peter</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Andreev%2C+Vladimir%22">Andreev, Vladimir</searchLink><relatesTo>2</relatesTo><i> andrvlad@yandex.ru</i><br /><searchLink fieldCode="AR" term="%22Man'ko%2C+Margarita%22">Man'ko, Margarita</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Man'ko%2C+Vladimir%22">Man'ko, Vladimir</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Russian+Laser+Research%22">Journal of Russian Laser Research</searchLink>. Nov2017, Vol. 38 Issue 6, p491-506. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Probabilistic+number+theory%22">Probabilistic number theory</searchLink><br /><searchLink fieldCode="DE" term="%22Wigner+distribution%22">Wigner distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenvalues%22">Eigenvalues</searchLink><br /><searchLink fieldCode="DE" term="%22Qubits%22">Qubits</searchLink><br /><searchLink fieldCode="DE" term="%22Quantization+%28Physics%29%22">Quantization (Physics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We review the quantizer-dequantizer formalism of constructing symbols of the density operators and quantum observables, such as Wigner functions and tomographic-probability distributions. We present a tutorial consideration of the technique of obtaining minimal sets of dequantizers (quorum) related to the observable eigenvalues for one-qubit states. We discuss a generalization of the quantizer-dequantizer scheme on the example of spin-1/2 states. We consider the possibilities of extending the results to two-qubit systems using spin tomograms of the state density matrix. [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/s10946-017-9673-1 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 491 Subjects: – SubjectFull: Probabilistic number theory Type: general – SubjectFull: Wigner distribution Type: general – SubjectFull: Eigenvalues Type: general – SubjectFull: Qubits Type: general – SubjectFull: Quantization (Physics) Type: general Titles: – TitleFull: Nonnegative Discrete Symbols and Their Probabilistic Interpretation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Adam, Peter – PersonEntity: Name: NameFull: Andreev, Vladimir – PersonEntity: Name: NameFull: Man'ko, Margarita – PersonEntity: Name: NameFull: Man'ko, Vladimir IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: Nov2017 Type: published Y: 2017 Identifiers: – Type: issn-print Value: 10712836 Numbering: – Type: volume Value: 38 – Type: issue Value: 6 Titles: – TitleFull: Journal of Russian Laser Research Type: main |
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