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Volkov Boris Olegovich
(recent publications)

by years

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2026
1.	Igor Korolev, Alexander Pechen, Boris Volkov, “Higher-Order Traps in Quantum Control Landscapes for Transmon Systems”, Supercomputing. RuSCDays 2025, Lecture Notes in Computer Science, 16196, eds. Voevodin, V., Antonov, A., Nikitenko, D., Springer, Cham, 2026, 379-–394	1 ^[x]
2.	Alexander N. Pechen, Boris O. Volkov, “Diverse efficiency of observable optimization for four-level quantum systems with higher-order traps”, Phys. Scr., 101:2 (2026), 025101, 14 pp., arXiv: 2607.01217
3.	I. T. Russkikh, B. O. Volkov, A. N. Pechen, “Efficient machine learning generation of quantum processes”, Zh. vychisl. matem. i matem. fiz., 66:8 (2026), 1412–1424 ;
4.	N.E. Kuklina, V.Iu. Vasilenko, B.O. Volkov, and A.N. Pechen, “Unique determination and generation of rank-two single-qubit quantum channels”, J. Phys. A: Math. Theor., 59 (2026), 355309, 23 pp., arXiv: 2609.14707
5.	Boris Volkov, “Lévy Laplacian on manifold and heat flows of differential forms”, Analysis and Mathematical Physics, 16 (2026), 121, 29 pp., arXiv: 2507.13013
6.	A. N. Pechen, A. V. Safronov, B. O. Volkov, “Control Landscape for a Qubit Observable Maximization at Short Times”, Mathematical Problems in Control Theory and Mechanics, Collected papers. Dedicated to Academician Yury Osipov on the occasion of his 90th birthday, Trudy Mat. Inst. Steklova, 335, Steklov Math. Inst., Moscow, 2026

2025
7.	Boris Volkov, Anastasia Myachkova, Alexander Pechen, “Phenomenon of a stronger trapping behavior in $\Lambda$-type quantum systems with symmetry”, Phys. Rev. A, 111 (2025), 22617, 13 pp., arXiv: 2404.06937	7 ^[x]
8.	Ivan Russkikh, Boris Volkov, Alexander Pechen, “Quantum channels, complex Stiefel manifolds, and optimization”, Quantum Inf. Process., 24 (2025), 167, 26 pp., arXiv: 2408.09820	3 ^[x]
9.	I. T. Russkikh, B. O. Volkov, A. N. Pechen, “Kraus maps and complex Stiefel manifolds”, Russian Microelectronics, 54:8 (2025), 1412–1416
10.	B. O. Volkov, A. Myachkova, I. M. Korolev, A. N. Pechen, “Higher-order traps in quantum control landscapes of physical systems”, Russian Microelectronics, 54:8 (2025), 1402–1406

2024
11.	A. N. Pechen, V. N. Petruhanov, O. V. Morzhin, B. O. Volkov, “Control landscapes for high-fidelity generation of C-NOT and C-PHASE gates with coherent and environmental driving”, Eur. Phys. J. Plus, 139 (2024), 411, 21 pp., arXiv: 2405.14069	7 ^[x]

2023
12.	B. O. Volkov, A. N. Pechen, “Higher-order traps for some strongly degenerate quantum control systems”, Russian Math. Surveys, 78:2 (2023), 390–392
13.	B. O. Volkov, A. N. Pechen, “On the detailed structure of quantum control landscape for fast single qubit phase-shift gate generation”, Izv. Math., 87:5 (2023), 906–919, arXiv: 2204.13671
14.	Boris O. Volkov, “Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds”, Potential Anal., 59 (2023), 1381–1397, arXiv: 2107.11215	2 ^[x]
15.	B. O. Volkov, A. N. Pechen, “Quantum control landscapes and traps”, Russian Microelectronics, 52:suppl.1 (2023), S428–S431	1 ^[x]

2022
16.	B. O. Volkov, “Modified Lévy Laplacian on manifold and Yang–Mills instantons”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2243022, 15 pp., arXiv: 2205.14351	1 ^[x]

2021
17.	B. O. Volkov, O. V. Morzhin, A. N. Pechen, “Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates”, J. Phys. A: Math. Theor., 54:21 (2021), 215303, 23 pp., arXiv: 2104.12699	25 ^[x]

2020
18.	Boris O. Volkov, “Lévy Laplacians and instantons on manifolds”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 23:2 (2020), 2050008, 20 pp., arXiv: 1909.13312	5 ^[x]
19.	M. O. Katanaev, B. O. Volkov, “Point disclinations in the Chern–Simons geometric theory of defects”, Mod. Phys. Lett. B, 34 (2020), 2150012, 14 pp., arXiv: 1908.08473	7 ^[x]

2019
20.	Boris O. Volkov, “Levy Differential Operators and Gauge Invariant Equations for Dirac and Higgs Fields”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 22 (2019), 1950001, 20 pp., arXiv: 1612.00310	4 ^[x]
21.	B. O. Volkov, “Levy Laplacian on manifold and Yang–Mills heat flow”, Lobachevskii J. Math., 40:10 (2019), 1619–1630, arXiv: 1905.01223	7 ^[x]

2018
22.	B. O. Volkov, “Lévy Laplacians in Hida Calculus and Malliavin Calculus”, Proc. Steklov Inst. Math., 301 (2018), 11–24, arXiv: 1709.09221

2021
23.	B. O. Volkov, “Applications of Lévy Differential Operators in the Theory of Gauge Fields”, Journal of Mathematical Sciences, 252:1 (2021), 20–35

2018
24.	B. O. Volkov, “Lévy Laplacians and annihilation process”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 160, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2018, 399–409	1 ^[x]

2017
25.	Boris O. Volkov, “Stochastic Lévy differential operators and Yang–Mills equations”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:2 (2017), 1750008, 23 pp., arXiv: 1605.06024	10 ^[x]
26.	B. O. Volkov, Mat. Mat. Model., 2017, no. 2, 1–24

2016
27.	B. O. Volkov, “Laplasian Levi na chetyrekhmernom rimanovom mnogoobrazii”, Matematika i matematicheskoe modelirovanie, 2016, no. 6, 1–14

2015
28.	B. O. Volkov, “Stochastic Levy Laplacian and d'Alambertian and Maxwell's equations”, Mat. Mat. Model., 2015, no. 6, 1–16
29.	B. O. Volkov, “Lévy Laplacians and Instantons”, Proc. Steklov Inst. Math., 290 (2015), 210–222
30.	B. O. Volkov, “Lévy d'Alambertians and their application in the quantum theory”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 19:2 (2015), 241–258
31.	B. O. Volkov, “Stochastic Levy divergence and Maxwell's equations”, Mat. Mat. Model., 2015, no. 5, 1–16

2013
32.	B. O. Volkov, “Quantum Probability and Levy Laplacians”, Russian Journal of Mathematical Physics, 20:2 (2013), 254-256	4 ^[x]
33.	B. O. Volkov, “Hierarchy of Levy-Laplacians and Quantum Stochastic Processes”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 16:4 (2013), 1350027, 20 pp.	5 ^[x]

2012
34.	B. O. Volkov, “Levy-Laplacian and the Gauge Fields”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 15:4 (2012), 1250027, 19 pp.	8 ^[x]

Full list of publications