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НЕКОТОРЫЕ ПУБЛИКАЦИИ Публикации в журналах: 1. A. E. Rastegin, Relative error of state-dependent cloning // Phys. Rev. A, Vol. 66, 2002, 042304, 6 p. DOI: 10.1103/PhysRevA.66.042304 2. A. E. Rastegin, Upper bound on the global fidelity for mixed-state cloning // Phys. Rev. A, Vol. 67, 2003, 012305, 3 p. DOI: 10.1103/PhysRevA.67.012305 3. A. E. Rastegin, Global-fidelity limits of state-dependent cloning of mixed states // Phys. Rev. A, Vol. 68, 2003, 032303, 6 p. DOI: 10.1103/PhysRevA.68.032303 4. A. E. Rastegin, A lower bound on the relative error of mixed-state cloning and related operations // J. Opt. B: Quantum Semiclassical Opt. 5, 2003, p. S647-S650. DOI: 10.1088/1464-4266/5/6/017 5. A. E. Rastegin, Trace distance from the viewpoint of quantum operation techniques // J. Phys. A: Math. Theor., Vol. 40, 2007, p. 9533-9549. DOI: 10.1088/1751-8113/40/31/026 6. A. E. Rastegin, Some properties of partial fidelities // Quantum Information & Computation, Vol. 9, 2009, p. 1069-1080. 7. A. E. Rastegin, Partitioned trace distances // Quantum Information Processing, Vol. 9, 2010, p. 61-73. DOI: 10.1007/s11128-009-0128-7 8. A. E. Rastegin, Renyi formulation of the entropic uncertainty principle for POVMs // J. Phys. A: Math. Theor., Vol. 43, 2010, 155302, 9 p. DOI: 10.1088/1751-8113/43/15/155302 9. A. E. Rastegin, No-cloning theorem for a single POVM // Quantum Information & Computation, Vol. 10, 2010, p. 0971-0980. 10. A. E. Rastegin, Continuity and stability of partial entropic sums // Lett. Math. Phys., Vol. 94, 2010, p. 229-242. DOI: 10.1007/s11005-010-0440-2 11. A. E. Rastegin, Bounds on Shannon distinguishability in terms of partitioned measures // Quantum Information Processing, Vol. 10, 2011, p. 123-138. DOI: 10.1007/s11128-010-0184-z 12. A. E. Rastegin, Entropic uncertainty relations for extremal unravelings of super-operators // J. Phys. A: Math. Theor., Vol. 44, 2011, 095303, 12 p. DOI:10.1088/1751-8113/44/9/095303 13. A. E. Rastegin, Some general properties of unified entropies // J. Stat. Phys., Vol. 143, 2011, p. 1120-1135. DOI 10.1007/s10955-011-0231-x 14. A. E. Rastegin, Upper continuity bounds on the relative q-entropy for q>1 // J. Math. Phys., Vol. 52, 2011, 062203, 8 p. DOI: 10.1063/1.3600535 15. A. E. Rastegin, Optimal cloning with respect to the relative error // Int. J. Quant. Inf., Vol. 9, 2011, p. 1341-1354. DOI: 10.1142/S0219749911007940 16. A. E. Rastegin, Entropic formulation of the uncertainty principle for the number and annihilation operators // Physica Scripta, Vol. 84, 2011, 057001, 6 p. DOI: 10.1088/0031-8949/84/05/057001 17. A. E. Rastegin, Notes on entropic uncertainty relations beyond the scope of Riesz’s theorem // Int. J. Theor. Phys., Vol. 51, 2012, p. 1300-1315. DOI: 10.1007/s10773-011-1006-5 18. A. E. Rastegin, On unified-entropy characterization of quantum channels // J. Phys. A: Math. Theor., Vol. 45, 2012, 045302, 15 p. DOI: 10.1088/1751-8113/45/4/045302 19. A. E. Rastegin, Fano type quantum inequalities in terms of q-entropies // Quantum Information Processing, Vol. 11, 2012, p. 1895-1910. DOI: 10.1007/s11128-011-0347-6 20. A. E. Rastegin, Convexity inequalities for estimating generalized conditional entropies from below // Kybernetika, Vol. 48, 2012, p. 242-253. 21. A. E. Rastegin, Number-phase uncertainty relations in terms of generalized entropies // Quantum Information & Computation, Vol. 12, 2012, p. 0743-0762. 22. A. E. Rastegin, Relations for certain symmetric norms and anti-norms before and after partial trace // J. Stat. Phys, Vol. 148, 2012, p. 1040-1053. DOI: 10.1007/s10955-012-0569-8 23. A. E. Rastegin, Entropic uncertainty relations and quasi-Hermitian operators // J. Phys. A: Math. Theor., Vol. 45, 2012, 444026, 14 p. DOI: 10.1088/1751-8113/45/44/444026 24. A. E. Rastegin, Formulation of the Hellmann-Feynman theorem for the “second choice” version of Tsallis’ thermostatistics // Physica A, Vol. 392, 2013, p. 103-110. DOI: 10.1016/j.physa.2012.08.010 25. A. E. Rastegin, Notes on entropic characteristics of quantum channels // Cent. Eur. J. Phys., Vol. 11, 2013, p. 69-77. DOI: 10.2478/s11534-012-0134-8 26. A. E. Rastegin, Generalized conditional entropies of partitions on quantum logic // Commun. Theor. Phys., Vol. 58, 2012, p. 819-822. DOI:10.1088/0253-6102/58/6/06 27. A. E. Rastegin, Uncertainty and certainty relations for complementary qubit observables in terms of Tsallis’ entropies // Quantum Information Processing, Vol. 12, 2013, p. 2947-2963. DOI: 10.1007/s11128-013-0568-y 28. A. E. Rastegin, Bounds of the Pinsker and Fannes types on the Tsallis relative entropy // Math. Phys. Anal. Geom., Vol. 16, 2013, p. 213-228. DOI 10.1007/s11040-013-9128-z 29. A. E. Rastegin, Unified-entropy trade-off relations for a single quantum channel // J. Phys. A: Math. Theor., Vol. 46, 2013, 285301, 10 p. DOI:10.1088/1751-8113/46/28/285301 30. A. E. Rastegin, Non-equilibrium equalities with unital quantum channels // J. Stat. Mech.: Theor. Exp., P06016, 2013, 18 p. DOI: 10.1088/1742-5468/2013/06/P06016 31. A. E. Rastegin, Uncertainty relations for MUBs and SIC-POVMs in terms of generalized entropies // Eur. Phys. J. D, Vol. 67, 2013, 269, 14 p. DOI: 10.1140/epjd/e2013-40453-2 32. A. E. Rastegin, K. Zyczkowski, Jarzynski equality for quantum stochastic maps // Phys. Rev. E, Vol. 89, 2014, 012127, 10 p. DOI: 10.1103/PhysRevE.89.012127 33. A. E. Rastegin, Tests for quantum contextuality in terms of q-entropies // Quantum Information & Computation, Vol. 14, 2014, p. 0996-1013. 34. A. E. Rastegin, Uncertainty and certainty relations for the Pauli observables in terms of the R\'{e}nyi entropies of order $\alpha\in(0;1]$ // Commun. Theor. Phys., Vol. 61, 2014, p. 293-298. DOI: 10.1088/0253-6102/61/3/04 35. A. E. Rastegin, Notes on general SIC-POVMs // Phys. Scr., Vol. 89, 2014, 085101. DOI: 10.1088/0031-8949/89/8/085101 36. A. E. Rastegin, Formulation of Leggett-Garg inequalities in terms of $q$-entropies // Commun. Theor. Phys., Vol. 62, 2014, p. 320-326. DOI:10.1088/0253-6102/62/3/05 37. A. E. Rastegin, On quantum conditional entropies defined in terms of the $f$-divergences // Rep. Math. Phys., Vol. 73, 2014, p. 393-411. DOI:10.1016/S0034-4877(14)60051-3 38. A. E. Rastegin, Fine-grained uncertainty relations for several quantum measurements // Quantum Information Processing, Vol. 14, 2015, 783-800. DOI:10.1007/s11128-014-0869-9 39. A. E. Rastegin, On generalized entropies and information-theoretic Bell inequalities under decoherence // Ann. Phys., Vol. 355, 2015, 241-257. DOI:10.1016/j.aop.2015.02.015 40. A. E. Rastegin, Further results on generalized conditional entropies // RAIRO-Theor. Inf. Appl., Vol. 49, 2015, 67-92. DOI:10.1051/ita/2014029 41. A. E. Rastegin, On uncertainty relations and entanglement detection with mutually unbiased measurements // Open Sys. & Inf. Dyn. Vol. 22, 2015, 1550005. DOI:10.1142/S1230161215500055
Публикации в рамках байкальского проекта: 1. V. Aynutdinov, A. Avrorin, V. Balkanov, …, A. Rastegin et al. Baikal neutrino telescope - An underwater laboratory for astroparticle physics and environmental studies // Nuclear Instruments and Methods in Physics Research A, Vol. 598, 2009, p. 282-288. 2. V. Aynutdinov, A. Avrorin, V. Balkanov, …, A. Rastegin et al. The BAIKAL neutrino experiment - Physics results and perspectives // Nuclear Instruments and Methods in Physics Research A, Vol. 602, 2009, p. 14-20. 3. Н. М. Буднев, С. В. Ловцов, И. А. Портянская, А. Э. Растегин, В. Ю. Рубцов. Анализ гидростатической неустойчивости на основе механической аналогии // Известия вузов. Физика, 53(№6), 2010, 93-97. [English translation: N. M. Budnev, S. V. Lovtsov, I. A. Portyanskaya, A. E. Rastegin, V. Yu. Rubtsov, Analysis of hydrostatical instability based on mechanical analogy // Russ. Phys. J. 53(6), 2010, p. 648-652.] 4. Н. М. Буднев, С. В. Ловцов, И. А. Портянская, А. Э. Растегин, В. Ю. Рубцов, М. Shturm, М. Shurter, А. Wuest. Результаты моделирования эволюции температурного режима верхних слоев оз. Байкал по данным экспериментов 2000–2001гг., 2004-2005гг. // Известия Иркутского государственного университета. “Серия – Науки о Земле”, Т.1, 2008, 76-83. 5. С. В. Ловцов, И. А. Портянская, А. Э. Растегин. Особенности переноса энергии по результатам спектрального анализа температурных данных // Известия Иркутского государственного университета. “Серия – Науки о Земле”, Т. 5, 2012, 195-204. 6. A. Avrorin, V. Aynutdinov, I. Belolaptikov, …, A. Rastegin et al. Asp-15 - A stationary device for the measurement of the optical water properties at the NT200 neutrino telescope site // Nuclear Instruments and Methods in Physics Research A, Vol. 693, 2012, p. 186-194.
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