Nonnegative Discrete Symbols and Their Probabilistic Interpretation


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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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