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This article is cited in 9 scientific papers (total in 9 papers)
SCIENTIFIC SUMMARIES
Quantum correlations and tomographic representation
O. V. Man'ko, V. N. Chernega P. N. Lebedev Physical Institute, Russian Academy of Sciences
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
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https://www.mathnet.ru/eng/jetpl3421 https://www.mathnet.ru/eng/jetpl/v97/i9/p642
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Abstract page: | 405 | Full-text PDF : | 104 | References: | 72 | First page: | 11 |
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