Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Chernega, Vladimir N."'
Concept of entangled probability distribution of several random variables is introduced. These probability distributions describe multimode quantum states in probability representation of quantum mechanics. Example of entangled probability distributi
Externí odkaz:
http://arxiv.org/abs/2302.13065
Autor:
Chernega, Vladimir N., Man'ko, Olga V.
Publikováno v:
J. of Russian Laser Research, v.41, N1, p.11-22 (2020)
Glauber coherent states of quantum systems are reviewed. We construct the tomographic probability distributions of the oscillator states. The possibility to describe quantum states by tomographic probability distributions (tomograms) is presented on
Externí odkaz:
http://arxiv.org/abs/2003.01556
Publikováno v:
J. of Russian Laser Research, v.40, N 5, p.496-502 (2019)
We discuss the possibility to formulate the dynamics of spin states described by the Schrodinger equation for pure states and the von Neumann equation (as well as the GKSL equation) for mixed states in the form of quantum kinetic equations for proba
Externí odkaz:
http://arxiv.org/abs/2003.00485
Publikováno v:
J. of Russian Laser Research, v. 40, N 6 pp.503-514 (2019)
We give a review of the tomographic probability representation of quantum mechanics. We present the formalism of quantum states and quantum observables using the formalism of standard probability distributions and classical-like random variables. We
Externí odkaz:
http://arxiv.org/abs/2001.10361
Probability representation of quantum states as a renaissance of hidden variables -- God plays coins
Publikováno v:
J. Russ. Laser Res. v. 40, N 2, p. 1-14 (2019)
We develop an approach where the quantum system states and quantum observables are described as in classical statistical mechanics -- the states are identified with probability distributions and observables, with random variables. An example of the s
Externí odkaz:
http://arxiv.org/abs/1904.09788
Publikováno v:
Eur. Phys. J. D (2019) 73: 10
An analog of classical "hidden variables" for qubit states is presented. The states of qubit (two-level atom, spin-1/2 particle) are mapped onto the states of three classical--like coins. The bijective map of the states corresponds to the presence of
Externí odkaz:
http://arxiv.org/abs/1902.03613
Autor:
Chernega, Vladimir N., Man'ko, Olga V.
Publikováno v:
Journal of Russian Laser Research, v.39, N 4, pp.411-419 (2018)
We obtain the tomogram of squeezed correlated states of a quantum parametric damped oscillator in an explicit form. We study the damping within the framework of the Caldirola--Kanai model and chose the parametric excitation in the form of a very shor
Externí odkaz:
http://arxiv.org/abs/1810.01672
Publikováno v:
published in Journal of Russian Laser Research, v.38, N 4, pp.324-333 (2017)
We introduce the probability distributions describing quantum observables in conventional quantum mechanics and clarify their relations to the tomographic probability distributions describing quantum states. We derive the evolution equation for quant
Externí odkaz:
http://arxiv.org/abs/1806.10381
Publikováno v:
Journal of Russian Laser Research, v. 38, N 5, pp.416-425 (2017)
We express the matrix elements of the density matrix of the qutrit state in terms of probabilities associated with artificial qubit states. We show that the quantum statistics of qubit states and observables is formally equivalent to the statistics o
Externí odkaz:
http://arxiv.org/abs/1804.04886
We map the density matrix of the qubit (spin-1/2) state associated with the Bloch sphere and given in the tomographic probability representation onto vertices of a triangle determining Triada of Malevich's squares. The three triangle vertices are loc
Externí odkaz:
http://arxiv.org/abs/1803.09339