Nonnegative Discrete Symbols and Their Probabilistic Interpretation
- Authors: Adam P.1, Andreev V.A.2, Man’ko M.A.2, Man’ko V.I.2,3
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Affiliations:
- Institute for Solid State Physics and Optics Wigner Research Centre for Physics, Hungarian Academy of Sciences
- Lebedev Physical Institute Russian Academy of Sciences
- Moscow Institute of Physics and Technology
- Issue: Vol 38, No 6 (2017)
- Pages: 491-506
- Section: Article
- URL: https://journals.rcsi.science/1071-2836/article/view/248272
- DOI: https://doi.org/10.1007/s10946-017-9673-1
- ID: 248272
Cite item
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.
About the authors
Peter Adam
Institute for Solid State Physics and Optics Wigner Research Centre for Physics, Hungarian Academy of Sciences
Email: andrvlad@yandex.ru
Hungary, Budapest, H-1525
Vladimir A. Andreev
Lebedev Physical Institute Russian Academy of Sciences
Author for correspondence.
Email: andrvlad@yandex.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991
Margarita A. Man’ko
Lebedev Physical Institute Russian Academy of Sciences
Email: andrvlad@yandex.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991
Vladimir I. Man’ko
Lebedev Physical Institute Russian Academy of Sciences; Moscow Institute of Physics and Technology
Email: andrvlad@yandex.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; Institutskii per. 9, Dolgoprudny, Moscow Region, 141700
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