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Tomographic characteristics of spin states
Authors:Vladimir N Chernega  Olga V Man’ko  Vladimir I Man’ko  Oleg V Pilyavets  Vadim G Zborovskii
Institution:(1) Faculty of Physics, M. V. Lomonosov Moscow State University, Vorob’evy Gory, Moscow, 119992, Russia;(2) P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Pr. 53, Moscow, 119991, Russia;(3) Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141700, Russia
Abstract:Spin states are studied in the tomographic-probability representation. The standard probability distribution of spin projection onto a direction in space is used instead of the spinor or the density matrix to identify the quantum state. The Shannon entropy and information are associated with the spin tomographic probability. A short review of the probability-theory notions is presented. Analysis of tomographic entropy and tomographic information for the Werner state is considered. The probability representation is used to describe a spin-3/2 particle and two qubits. The connection of tomographic entropy with the von Neumann entropy is discussed.
Keywords:tomographic probability  tomographic entropy  von Neumann entropy  Shannon information  spin  qubit  Werner state  entanglement
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