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Unitary Transforms of Probability Distributions Describing Quantum States of Two-Level Systems

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Journal of Russian Laser Research Aims and scope

Abstract

The probability distributions describing the two-level system (spin-1/2) states and satisfying the kinetic equation equivalent to the Schrödinger equation are transformed according to the action of unitary evolution operator on the density matrix of the state. Using the probability representation of quantum states of the two-level system, we obtain the explicit form of time-dependent probability distributions determining the dynamics of the states and discuss the entropic properties of the distributions. Entanglement of classical probability distributions is discussed.

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

    Margarita A. Man’ko

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Correspondence to Margarita A. Man’ko.

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Man’ko, M.A. Unitary Transforms of Probability Distributions Describing Quantum States of Two-Level Systems. J Russ Laser Res 43, 645–652 (2022). https://doi.org/10.1007/s10946-022-10091-w

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