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Probability distribution and Bell’s inequality for the quantum qubit state

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Abstract

The problem of Bell’s inequality violation for a particle with spin 1/2 is studied within the tomographic approach. Two possible methods for constructing the distribution functions associated with the qubit quantum state are presented. The Bell parameter maximum is studied for each proposed distribution.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (State University), Institutsky per. 9, Dolgoprudnyi, Moscow Oblast, 141700, Russia

    M. A. Anisimov & A.A. Kolesnikov

Authors
  1. M. A. Anisimov
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  2. A.A. Kolesnikov
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  3. V. I. Man’ko
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Additional information

Original Russian Text © M.A. Anisimov, A.A. Kolesnikov, V.I. Man’ko, 2009, published in Kratkie Soobshcheniya po Fizike, 2009, Vol. 36, No. 4, pp. 18–21.

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Anisimov, M.A., Kolesnikov, A. & Man’ko, V.I. Probability distribution and Bell’s inequality for the quantum qubit state. Bull. Lebedev Phys. Inst. 36, 104–109 (2009). https://doi.org/10.3103/S1068335609040022

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  • DOI: https://doi.org/10.3103/S1068335609040022

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