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Quantum suprematism picture of Triada of Malevich's squares for spin states and the parametric oscillator evolution in the probability representation of quantum mechanics V. N. Chernega, O. V. Man'ko, V. I. Manko

By: Chernega, Vladimir NContributor(s): Manko, Olga V | Manko, Vladimir IMaterial type: ArticleArticleSubject(s): кубиты | неравенства | энтропия | Франка-Кондона факторы | квантовый супрематизм | спиновые состоянияGenre/Form: статьи в журналах Online resources: Click here to access online In: Journal of Physics: Conference Series Vol. 1071. P. 012008 (1-13)Abstract: Review of tomographic probability representation of quantum states is presented both for oscillator systems with continious variables and spin–systems with discrete variables. New entropy–information inequalities are obtained for Franck–Condon factors. Density matrices of qudit states are expressed in terms of probabilities of artificial qubits as well as the quantum suprematism approach to geometry of these states using the triadas of Malevich squares is developed. Examples of qubits, qutrits and ququarts are considered.
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Review of tomographic probability representation of quantum states is presented both for oscillator systems with continious variables and spin–systems with discrete variables. New entropy–information inequalities are obtained for Franck–Condon factors. Density matrices of qudit states are expressed in terms of probabilities of artificial qubits as well as the quantum suprematism approach to geometry of these states using the triadas of Malevich squares is developed. Examples of qubits, qutrits and ququarts are considered.

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