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Amosov Grigori Gennadievich
(recent publications)

by years

scientific publications

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2026
1.	G. G. Amosov, “The dynamics of quantum states generated by the operators of shift and multiplication by exponent in a functional space with an infinite-dimensional argument”, Comput. Math. Math. Phys., 66:8 (2026), 1452–1456
2.	G. G. Amosov, “On construction of positive operator-valued measures from frames in a Hilbert space”, Lobachevskii J. Math., 47:6 (2026), 2461–2469

2025
3.	G. G. Amosov, “On majorization of quantum channels by probability distributions”, Russian Math. (Iz. VUZ), 69:1 (2025), 85–89
4.	Grigori Amosov, Vsevolod Sakbaev, “On dynamics of quantum states generated by averaging of random shifts”, Adv. Oper. Theory, 10 (2025), 51, 20 pp.	4 ^[x]
5.	G. G. Amosov, L. A. Ryskin, “On condition of majorization for mixed unitary channels”, Lobachevskii J. Math., 46:6 (2025), 2479–2483

2024
6.	Nekommutativnyi analiz i kvantovaya informatika, Sbornik statei. K 80-letiyu akademika Aleksandra Semenovicha Kholevo, Trudy MIAN, 324, ed. M. E. Shirokov, G. G. Amosov, MIAN, M., 2024, 292 pp.
7.	G. G. Amosov, A. M. Bikchentaev, V. Zh. Sakbaev, “On Extreme Points of Sets in Operator Spaces and State Spaces”, Proc. Steklov Inst. Math., 324 (2024), 4–17
8.	G. G. Amosov, M. E. Shirokov, “Alexander Semenovich Holevo: On the occasion of his 80th birthday”, Proc. Steklov Inst. Math., 324 (2024), 1–3
9.	G. G. Amosov, A. D. Baranov, D. A. Kronberg, “On positive operator-valued measures generated by a family of one-dimensional projectors”, Ann. Funct. Anal., 15 (2024), 48, 12 pp.
10.	G. G. Amosov, L. A. Ryskin, “The role of covariancy in calculating capacity of quantum channels generated by projective unitary representations of non-Abelian groups”, Lobachevskii J. Math., 45:6 (2024), 2449–2453	1 ^[x]
11.	Grigori G. Amosov, Danil D. Cheremukhin, “Symbols of mixed unitary quantum channels generated by finite unitary groups”, Int. J. Quantum Inf., 22:5 (2024), 2440001, 6 pp.

2023
12.	Grigori Amosov, “On constructing informationally complete covariant positive operator-valued measures”, Entropy, 25:5 (2023), 783, 9 pp.	1 ^[x]
13.	A. O. Alekseev, G. G. Amosov, “On extension of the family of projections to positive operator-valued measure”, Vestn. St. Petersbg. Univ., Math., 56:1 (2023), 1–8
14.	A. O. Alekseev, G. G. Amosov, “On restoring a quantum state after the measurement”, Lobachevskii J. Math., 44:6 (2023), 1974–1979	1 ^[x]
15.	G. G. Amosov, E. L. Baitenov, A. N. Pechen, “On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures”, Quantum Inf. Process., 22 (2023), 401, 14 pp.	1 ^[x]
16.	G.G. Amosov, A.V. Komissarenko, “Vozmozhnost algebraicheskikh operatsii nad muzykalnym tekstom: ritm, intonatsiya, tembr”, Vsemirnyi kongress “Teoriya sistem, algebraicheskaya biologiya, iskusstvennyi intellekt: matematicheskie osnovy i prilozheniya”. 26–30 iyunya 2023 g. Izbrannye trudy., Ros. akad. nauk; Nats. akad. nauk Belarusi; Nats. akad. nauk Resp. Kazakhstan; Akad. nauk Resp. Uzbekistan., M., 2023, 440–460

2022
17.	G. G. Amosov, “On capacity of quantum channels generated by irreducible projective unitary representations of finite groups”, Quantum Inf. Process., 21 (2022), 81, 15 pp.	9 ^[x]
18.	G. G. Amosov, “On quantum tomography on locally compact groups”, Phys. Lett. A, 431 (2022), 128002, 7 pp.	7 ^[x]
19.	G.G. Amosov, E.L. Baitenov, “On the space of Schwartz operators in the symmetric Fock space and its dual”, Vestnik St. Petersburg University. Mathematics, 55:2 (2022), 135–140
20.	G. G. Amosov, “On quantum channels generated by covariant positive operator-valued measures on a locally compact group”, Quantum Inf. Process., 21 (2022), 312, 10 pp.	5 ^[x]
21.	G. G. Amosov, E. L. Baitenov, “On perturbation of $C_0$-semigroups in Banach spaces generated by operator-valued measures”, Lobachevskii J. Math., 43:7 (2022), 1585–1597	1 ^[x]

2021
22.	Matematika kvantovykh tekhnologii, Sbornik statei, Trudy MIAN, 313, ed. A. N. Pechen, I. V. Volovich, G. G. Amosov, A. E. Teretenkov, MIAN, M., 2021, 296 pp.
23.	G. G. Amosov, A. S. Mokeev, “On Noncommutative Operator Graphs Generated by Resolutions of Identity”, Proc. Steklov Inst. Math., 313 (2021), 8–16
24.	G. G. Amosov, “On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis”, Anal. Math. Phys., 11 (2021), 27, 13 pp.	3 ^[x]
25.	G. G. Amosov, E. L. Baitenov, “On rank one perturbations of semigroup of shifts on half-axis”, Ufa Math. J., 13:1 (2021), 3–16
26.	G. G. Amosov, A. S. Mokeev, A. N. Pechen, “Noncommutative graphs based on finite-infinite system couplings: Quantum error correction for a qubit coupled to a coherent field”, Phys. Rev. A, 103:4 (2021), 042407, 17 pp.	7 ^[x]
27.	G. G. Amosov, A. S. Mokeev, “On non-commutative operator graphs generated by reducible unitary representation of the Heisenberg–Weyl group”, Internat. J. Theoret. Phys., 60 (2021), 457–463	7 ^[x]
28.	Grigori Amosov, “Remark on negative solution to the Tsirelson conjecture about quantum correlations”, AIP Conf. Proc., 2362, 2021, 060001, 4 pp.	1 ^[x]
29.	G.G. Amosov, S.A. Grigoryan, A.Yu. Kuznetsova, “On C*-algebras generated by the set of probability distributions”, Russian Mathematics, 65:8 (2021), 58–62
30.	G. G. Amosov, A. S. Mokeev, A. N. Pechen, “On the construction of a quantum channel corresponding to non-commutative graph for a qubit interacting with quantum oscillator”, Lobachevskii J. Math., 42:10 (2021), 2280–2284	5 ^[x]

2020
31.	G. G. Amosov, A. S. Mokeev, A. N. Pechen, “Non-commutative graphs and quantum error correction for a two-mode quantum oscillator”, Quantum Inf. Process., 19:3 (2020), 95, 12 pp.	11 ^[x]
32.	G. G. Amosov, A. S. Mokeev, “Non-commutative graphs in the Fock space over one-particle Hilbert space”, Lobachevskii J. Math., 41:4 (2020), 592–596, arXiv: 1912.12099	3 ^[x]
33.	G. G. Amosov, “On inner geometry of noncommutative operator graphs”, Eur. Phys. J. Plus, 135 (2020), 865, 6 pp.	2 ^[x]
34.	Grigori Amosov, “On classical capacity of Weyl channels”, Quantum Inf. Process., 19 (2020), 401, 11 pp.	14 ^[x]
35.	G. G. Amosov, A. Mokeev, “On errors generated by unitary dynamics of bipartite quantum systems”, Lobachevskii J. Math., 41:12 (2020), 2310–2315, arXiv: 2008.00290	3 ^[x]
36.	G. G. Amosov, E. L. Baitenov, “On perturbations of the semigroup of shifts on the half-axis changing the domain of its generator”, Lobachevskii J. Math., 41:12 (2020), 2303–2309	3 ^[x]

2019
37.	G.G. Amosov, E.O. Kholmogorov, “On singular perturbations of the semigroup of shifts on the algebra of canonical anticommutation relations”, Russian Mathematics, 63:11 (2019), 67–70
38.	G. G. Amosov, A. S. Mokeev, “On linear structure of non-commutative operator graphs”, Lobachevskii J. Math., 40:10 (2019), 1440–1443	6 ^[x]
39.	G. G. Amosov, Ya. A. Korennoy, “On definition of quantum tomography via the Sobolev embedding theorem”, Lobachevskii J. Math., 40:10 (2019), 1433–1439	1 ^[x]
40.	Grigori Amosov, “On operator systems generated by reducible projective unitary representations of compact groups”, Turk. J. Math., 43:5 (2019), 2366–2370	3 ^[x]
41.	G. G. Amosov, “Muzykalnoe ischislenie”, Matematicheskaya sostavlyayuschaya, 2-e izd., rassh. i dop., eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2019, 202 https://book.etudes.ru/toc/music/

2018
42.	G. G. Amosov, “On general properties of non-commutative operator graphs”, Lobachevskii J. Math., 39:3 (2018), 304–308	11 ^[x]
43.	G. G. Amosov, S. Mancini, V. I. Man'ko, “Tomographic portrait of quantum channels”, Rep. Math. Phys., 81:2 (2018), 165–176	4 ^[x]
44.	G. G. Amosov, A. S. Mokeev, “On non-commutative operator graphs generated by covariant resolutions of identity”, Quantum Inf. Process., 17 (2018), 325, 11 pp.	12 ^[x]
45.	G. G. Amosov, Al. V. Bulinski, An. V. Bulinski, V. M. Buchstaber, I. A. Ibragimov, V. P. Maslov, A. Ya. Helemskii, A. M. Chebotarev, M. E. Shirokov, A. N. Shiryaev, “Alexander Semenovich Holevo (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1131–1136
46.	G.G. Amosov, “O tomograficheskom predstavlenii na ploskosti prostranstva operatorov Shvartsa i dualnogo k nemu”, Kvantovaya dinamika i funktsionalnye integraly: materialy nauchnoi konferentsii, IPM im. M.V. Keldysha RAN, 2018, 63–70 http://keldysh.ru/quant/2018/
47.	G. G. Amosov, M. Kpekpassi, N.N. Shamarov, E.Yu. Shamarova, “Antisimmetrichnoe prostranstvo Foka i algebry Grassmana s unitarnym (super-)preobrazovaniem Fure”, Kvantovaya dinamika i funktsionalnye integraly: materialy nauchnoi konferentsii, IPM im. M.V. Keldysha RAN, 2018, 131–138 http://keldysh.ru/quant/2018/

2021
48.	G. G. Amosov, “On Various Functional Representations of the Space of Schwarz Operators”, J. Math. Sci. (N. Y.), 252:1 (2021), 1–7

2017
49.	Grigori G. Amosov, Sergey N. Filippov, “Spectral properties of reduced fermionic density operators and parity superselection rule”, Quantum Inf. Process., 16:1 (2017), 2, 16 pp.	31 ^[x]
50.	G. G. Amosov, “On tomographic representation on the plane of the space of Schwartz operators and its dual”, Lobachevskii J. Math., 38:4 (2017), 595–599	2 ^[x]

2018
51.	G.G. Amosov, A.S. Mokeev, “On construction of anticliques for noncommutative operator graphs”, J. Math. Sci., 234:3 (2018), 269–275

2019
52.	G. G. Amosov, “Algebraic methods of the study of quantum information transfer channels”, Journal of Mathematical Sciences, 241:2 (2019), 109–116

2016
53.	G. G. Amosov, I. Yu. Zhdanovskii, “Structure of the Algebra Generated by a Noncommutative Operator Graph which Demonstrates the Superactivation Phenomenon for Zero-Error Capacity”, Math. Notes, 99:6 (2016), 924–927

2015
54.	G. G. Amosov, “Estimating the output entropy of a tensor product of two quantum channels”, Theoret. and Math. Phys., 182:3 (2015), 397–406
55.	G. G. Amosov, A. I. Dnestryan, “Towards a tomographic representation of quantum mechanics on the plane”, Phys. Scr., 90:7 (2015), 074025, arXiv: 1503.04640	2 ^[x]

2016
56.	G. G. Amosov, V. Zh. Sakbaev, “Geometrical properties of systems of vector states and representing of states in the form of Pettis integrals”, St. Petersburg Math. J., 27:4 (2016), 589–597
57.	J. Math. Sci. (N. Y.), 215:6 (2016), 659–676

2015
58.	G. G. Amosov, A. S. Nadzharov, “Ob'ektno-orientirovannyi yazyk programmirovaniya OpenMusic i ego ispolzovanie dlya analiza kontseptsii sozdaniya muzykalnykh proizvedenii”, Neirokompyutery: razrabotka, primenenie, 2015, no. 9, 67–76

2014
59.	G. G. Amosov, A. I. Dnestryan, “On the entropy gain under the action of the amplitude damping channel on qutrit”, J. Russian Laser Research, 35:3 (2014), 291–294

2013
60.	G. G. Amosov, V. Zh. Sakbaev, “On Analogs of Spectral Decomposition of a Quantum State”, Math. Notes, 93:3 (2013), 351–359
61.	G. G. Amosov, A. I. Dnestryan, “Reconstruction of a pure state from incomplete information on its optical tomogram”, Russian Math. (Iz. VUZ), 57:3 (2013), 51–55
62.	G. G. Amosov, “On estimating the output entropy of the tensor product of a phase-damping channel and an arbitrary channel”, Problems Inform. Transmission, 49:3 (2013), 224–231
63.	G. G. Amosov, “O postroenii vozmuschenii polugruppy sdvigov na polupryamoi”, Tr. matem. tsentra imeni N.I. Lobachevskogo, 46:11 (2013), 3–5

2012
64.	G. G. Amosov, A. D. Baranov, V. V. Kapustin, “O primenenii modelnykh prostranstv dlya postroeniya vozmuschenii polugruppy sdvigov na polupryamoi”, Ufimsk. matem. zhurn., 4:1 (2012), 17–28	2 ^[x]
65.	G. G. Amosov, Ya. A. Korennoy, V. I. Man'ko, “Description and measurement of observables in the optical tomographic probability representation of quantum mechanics”, Phys. Rev. A, 85 (2012), 052119, 9 pp.	39 ^[x]
66.	G. G. Amosov, Ya. A. Korennoi, V. I. Man'ko, “Calculating means of quantum observables in the optical tomography representation”, Theoret. and Math. Phys., 171:3 (2012), 832–838
67.	G. G. Amosov, V. Zh. Sakbaev, O. G. Smolyanov, “Linear and nonlinear liftings of states of quantum systems”, Russ. J. Math. Phys., 19:4 (2012), 417–427	2 ^[x]

2011
68.	G. G. Amosov, A. I. Dnestryan, “O spektre semeistva integralnykh operatorov, opredelyayuschikh simplekticheskuyu kvantovuyu tomogrammu”, Trudy MFTI, 3:1 (2011), 5–9 http://mipt.ru/science/trudy/trudy-9/Pages_from_5-9-arphcxl1tgs.pdf
69.	G. G. Amosov, A. D. Baranov, V. V. Kapustin, “Perturbations of the isometric semigroup of shifts on the half-axis”, St. Petersburg Math. J., 22:4 (2011), 515–528

2010
70.	G. G. Amosov, D. Goranskaya, I. Traskunov, “Quantum tomography and Kohn density functional theory”, J. Russian Laser Research, 31:3 (2010), 232–238

Full list of publications