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This article is cited in 39 scientific papers (total in 39 papers)
Tomography of Spin States, the Entanglement Criterion, and Bell's Inequalities
V. A. Andreev, V. I. Man'ko, O. V. Man'ko, E. V. Shchukin P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
We review the method of spin tomography of quantum states in which we use the standard probability distribution functions to describe spin projections on selected directions, which provides the same information about states as is obtained by the density matrix method. In this approach, we show that satisfaction or violation of Bell's inequalities can be understood as properties of tomographic functions for joint probability distributions for two spins. We compare results obtained using the methods of classical probability theory with those obtained in the framework of traditional quantum mechanics.
Keywords:
quantum tomography, probability, distribution function, Bell's inequality.
Citation:
V. A. Andreev, V. I. Man'ko, O. V. Man'ko, E. V. Shchukin, “Tomography of Spin States, the Entanglement Criterion, and Bell's Inequalities”, TMF, 146:1 (2006), 172–185; Theoret. and Math. Phys., 146:1 (2006), 140–151
Linking options:
https://www.mathnet.ru/eng/tmf2017https://doi.org/10.4213/tmf2017 https://www.mathnet.ru/eng/tmf/v146/i1/p172
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Abstract page: | 1059 | Full-text PDF : | 465 | References: | 94 | First page: | 1 |
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