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Symbols of Multiqubit States Admitting a Physical Interpretation*

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Journal of Russian Laser Research Aims and scope

Abstract

We study the multiqubit states and the corresponding minimal sets of dequantizers and quantizers, such that symbols of the operators (observables) obtained with the help of the dequantizers admit a physical interpretation; more precisely, the symbols can be measured in the experiments. We consider two types of such quantities: (i) the probabilities of spin projections onto certain directions and (ii) the mean values of these projections. We provide an explicit description of the systems of dequantizers and quantizers for both types of these quantities corresponding to N-qubit states. We show that, in view of such symbols, it is possible to represent the density matrices of the N-qubit states in the form of series expansion in terms of quantizers with the coefficients as measurable observables.

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Authors and Affiliations

  1. Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Budapest, H-1525, P.O. Box 49, Hungary

    Peter Adam

  2. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia

    Vladimir A. Andreev, Margarita A. Man’ko & Vladimir I. Man’ko

Authors
  1. Peter Adam
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  2. Vladimir A. Andreev
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  3. Margarita A. Man’ko
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  4. Vladimir I. Man’ko
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Corresponding author

Correspondence to Vladimir A. Andreev.

Additional information

*We dedicate this paper to the memory of Professor József Janszky, the Great Scientist and our friend and colleague with whom we were happy to collaborate during many years. A long time ago, Janszky initiated scientific collaboration between the Lebedev Physical Institute of the USSR Academy of Sciences and the Institute for Solid State Physics and Optics of the Hungarian Academy of Sciences. He was the founder of the Central European Workshop on Quantum Optics, the 25th meeting of which took place at the University of Balearic Islands (Palma de Mallorca, Spain, May 21–25, 2018), and the 26th meeting of which will take place in Paderborn, Germany, June 3–7, 2019.

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Adam, P., Andreev, V.A., Man’ko, M.A. et al. Symbols of Multiqubit States Admitting a Physical Interpretation*. J Russ Laser Res 39, 360–375 (2018). https://doi.org/10.1007/s10946-018-9730-4

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  • DOI: https://doi.org/10.1007/s10946-018-9730-4

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