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Probability Vectors within the Classical and Quantum Frameworks |
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| Authors: | Margarita A Man’ko Vladimir I Man’ko Giuseppe Marmo Alberto Simoni Franco Ventriglia |
| Institution: | 1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia 3. Dipartimento di Fisica dell’Università “Federico II” e Sezione INFN di Napoli Complesso Universitario di Monte S. Angelo Via Cintia, Naples, 80126, Italy |
| Abstract: | We consider properties of the probability distributions associated with both classical and quantum systems. We discuss the notion of distances between the probability vectors and between the density states. We study the transforms of the probability vectors by means of stochastic and bistochastic matrices. We review the concept of positive and completely positive maps from the viewpoint of the tomographic-probability approach for describing the quantum states and their dynamics. |
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