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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2013, Volume 97, Issue 9, Pages 642–648 DOI: https://doi.org/10.7868/S0370274X13090129
(Mi jetpl3421)
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This article is cited in 10 scientific papers (total in 10 papers)
SCIENTIFIC SUMMARIES
Quantum correlations and tomographic representation
O. V. Man'ko, V. N. Chernega P. N. Lebedev Physical Institute, Russian Academy of Sciences
DOI:
https://doi.org/10.7868/S0370274X13090129
Abstract:
We review the probabilistic representation of quantum mechanics within which states are described by the probability distribution rather than by the wavefunction and density matrix. Uncertainty relations have been obtained in the form of integral inequalities containing measurable optical tomograms of quantum states. Formulas for the transition probabilities and purity parameter have been derived in terms of the tomographic probability distributions. Inequalities for Shannon and Rйnyi entropies associated with quantum tomograms have been obtained. A scheme of the star product of tomograms has been developed.
Received: 01.04.2013
Citation:
O. V. Man'ko, V. N. Chernega, “Quantum correlations and tomographic representation”, Pis'ma v Zh. Èksper. Teoret. Fiz., 97:9 (2013), 642–648; JETP Letters, 97:9 (2013), 557–563
Linking options:
https://www.mathnet.ru/eng/jetpl3421 https://www.mathnet.ru/eng/jetpl/v97/i9/p642
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