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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  
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1
[x]
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| 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.   |
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| 2025 |
| 3. |
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 
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6
[x]
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| 4. |
Ivan Russkikh, Boris Volkov, Alexander Pechen, “Quantum channels, complex Stiefel manifolds, and optimization”, Quantum Inf. Process., 24 (2025), 167, 26 pp., arXiv: 2408.09820
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2
[x]
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| 5. |
I. T. Russkikh, B. O. Volkov, A. N. Pechen, “Kraus maps and complex Stiefel manifolds”, Russian Microelectronics, 54:8 (2025), 1412–1416 |
| 6. |
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 |
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| 2024 |
| 7. |
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
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5
[x]
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| 2023 |
| 8. |
B. O. Volkov, A. N. Pechen, “Higher-order traps for some strongly degenerate quantum control systems”, Russian Math. Surveys, 78:2 (2023), 390–392   |
| 9. |
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 |
| 10. |
Boris O. Volkov, “Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds”, Potential Anal., 59 (2023), 1381–1397, arXiv: 2107.11215
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1
[x]
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| 11. |
B. O. Volkov, A. N. Pechen, “Quantum control landscapes and traps”, Russian Microelectronics, 52:suppl.1 (2023), S428–S431
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1
[x]
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| 2022 |
| 12. |
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 |
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| 2021 |
| 13. |
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
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25
[x]
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| 2020 |
| 14. |
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
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4
[x]
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| 15. |
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
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7
[x]
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| 2019 |
| 16. |
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
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3
[x]
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| 17. |
B. O. Volkov, “Levy Laplacian on manifold and Yang–Mills heat flow”, Lobachevskii J. Math., 40:10 (2019), 1619–1630, arXiv: 1905.01223
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6
[x]
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| 2018 |
| 18. |
B. O. Volkov, “Lévy Laplacians in Hida Calculus and Malliavin Calculus”, Proc. Steklov Inst. Math., 301 (2018), 11–24, arXiv: 1709.09221  |
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| 2021 |
| 19. |
B. O. Volkov, “Applications of Lévy Differential Operators in the Theory of Gauge Fields”, Journal of Mathematical Sciences, 252:1 (2021), 20–35 |
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| 2018 |
| 20. |
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
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1
[x]
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| 2017 |
| 21. |
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
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9
[x]
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| 22. |
B. O. Volkov, Mat. Mat. Model., 2017, no. 2, 1–24 |
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| 2016 |
| 23. |
B. O. Volkov, “Laplasian Levi na chetyrekhmernom rimanovom mnogoobrazii”, Matematika i matematicheskoe modelirovanie, 2016, no. 6, 1–14 |
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| 2015 |
| 24. |
B. O. Volkov, “Stochastic Levy Laplacian and d'Alambertian and Maxwell's equations”, Mat. Mat. Model., 2015, no. 6, 1–16 |
| 25. |
B. O. Volkov, “Lévy Laplacians and Instantons”, Proc. Steklov Inst. Math., 290 (2015), 210–222 |
| 26. |
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  |
| 27. |
B. O. Volkov, “Stochastic Levy divergence and Maxwell's equations”, Mat. Mat. Model., 2015, no. 5, 1–16 |
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| 2013 |
| 28. |
B. O. Volkov, “Quantum Probability and Levy Laplacians”, Russian Journal of Mathematical Physics, 20:2 (2013), 254-256
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4
[x]
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| 29. |
B. O. Volkov, “Hierarchy of Levy-Laplacians and Quantum Stochastic Processes”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 16:4 (2013), 1350027, 20 pp.
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5
[x]
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| 2012 |
| 30. |
B. O. Volkov, “Levy-Laplacian and the Gauge Fields”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 15:4 (2012), 1250027, 19 pp.
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8
[x]
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