Persons: Amosov Grigori Gennadievich, List of publications

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Amosov Grigori Gennadievich

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

2024
4.	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
5.	G. G. Amosov, M. E. Shirokov, “Alexander Semenovich Holevo: On the occasion of his 80th birthday”, Proc. Steklov Inst. Math., 324 (2024), 1–3
6.	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.
7.	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]
8.	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.
9.	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.

2023
10.	Grigori Amosov, “On constructing informationally complete covariant positive operator-valued measures”, Entropy, 25:5 (2023), 783, 9 pp.	1 ^[x]
11.	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
12.	A. O. Alekseev, G. G. Amosov, “On restoring a quantum state after the measurement”, Lobachevskii J. Math., 44:6 (2023), 1974–1979	1 ^[x]
13.	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.
14.	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
15.	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]
16.	G. G. Amosov, “On quantum tomography on locally compact groups”, Phys. Lett. A, 431 (2022), 128002, 7 pp.	6 ^[x]
17.	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
18.	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]
19.	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
20.	G. G. Amosov, A. S. Mokeev, “On Noncommutative Operator Graphs Generated by Resolutions of Identity”, Proc. Steklov Inst. Math., 313 (2021), 8–16
21.	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]
22.	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
23.	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.	6 ^[x]
24.	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]
25.	Grigori Amosov, “Remark on negative solution to the Tsirelson conjecture about quantum correlations”, AIP Conf. Proc., 2362, 2021, 060001, 4 pp.	1 ^[x]
26.	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
27.	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]
28.	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.

2020
29.	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]
30.	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]
31.	G. G. Amosov, “On inner geometry of noncommutative operator graphs”, Eur. Phys. J. Plus, 135 (2020), 865, 6 pp.	2 ^[x]
32.	Grigori Amosov, “On classical capacity of Weyl channels”, Quantum Inf. Process., 19 (2020), 401, 11 pp.	14 ^[x]
33.	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]
34.	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
35.	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
36.	G. G. Amosov, A. S. Mokeev, “On linear structure of non-commutative operator graphs”, Lobachevskii J. Math., 40:10 (2019), 1440–1443	6 ^[x]
37.	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]
38.	Grigori Amosov, “On operator systems generated by reducible projective unitary representations of compact groups”, Turk. J. Math., 43:5 (2019), 2366–2370	3 ^[x]
39.	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
40.	G. G. Amosov, “On general properties of non-commutative operator graphs”, Lobachevskii J. Math., 39:3 (2018), 304–308	11 ^[x]
41.	G. G. Amosov, S. Mancini, V. I. Man'ko, “Tomographic portrait of quantum channels”, Rep. Math. Phys., 81:2 (2018), 165–176	4 ^[x]
42.	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]
43.	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/
44.	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
45.	G. G. Amosov, “On Various Functional Representations of the Space of Schwarz Operators”, J. Math. Sci. (N. Y.), 252:1 (2021), 1–7

2018
46.	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

2017
47.	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]
48.	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
49.	G.G. Amosov, A.S. Mokeev, “On construction of anticliques for noncommutative operator graphs”, J. Math. Sci., 234:3 (2018), 269–275

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

2016
51.	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
52.	G. G. Amosov, “Estimating the output entropy of a tensor product of two quantum channels”, Theoret. and Math. Phys., 182:3 (2015), 397–406
53.	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
54.	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
55.	J. Math. Sci. (N. Y.), 215:6 (2016), 659–676

2015
56.	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
57.	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
58.	G. G. Amosov, V. Zh. Sakbaev, “On Analogs of Spectral Decomposition of a Quantum State”, Math. Notes, 93:3 (2013), 351–359
59.	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
60.	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
61.	G. G. Amosov, “O postroenii vozmuschenii polugruppy sdvigov na polupryamoi”, Tr. matem. tsentra imeni N.I. Lobachevskogo, 46:11 (2013), 3–5

2012
62.	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]
63.	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]
64.	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
65.	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
66.	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
67.	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
68.	G. G. Amosov, D. Goranskaya, I. Traskunov, “Quantum tomography and Kohn density functional theory”, J. Russian Laser Research, 31:3 (2010), 232–238

2009
69.	G. G. Amosov, S. Mancini, “The decreasing property of relative entropy and the strong superadditivity of quantum channels”, Quantum Inf. Comput., 9:7-8 (2009), 594–609
70.	G. G. Amosov, S. Mancini, “Entanglement from operators splitting”, Foundations of probability and physics—5, AIP Conf. Proc., 1101, Amer. Inst. Phys., New York, 2009, 100–103	2 ^[x]
71.	G. G. Amosov, V. I. Manko, “A classical limit of a center-of-mass tomogram in view of the central limit theorem”, Phys. Scr., 80:2 (2009), 025006, 4 pp.	6 ^[x]
72.	G. G. Amosov, V. I. Man'ko, Yu. N. Orlov, “Evolution equation of quantum tomograms for a driven oscillator in the case of the general linear quantization”, Phys. Scr., 79:1 (2009), 015004, 6 pp.	2 ^[x]
73.	G. G. Amosov, V. I. Man'ko, “Characteristic functions of states in star-product quantization”, J. Russian Laser Research, 30:5 (2009), 435–442	3 ^[x]

2008
74.	G. G. Amosov, S. Mancini, V. I. Man'ko, “On the information completeness of quantum tomograms”, Phys. Lett. A, 372:16 (2008), 2820–2824	6 ^[x]
75.	G. G. Amosov, V. Zh. Sakbaev, “Stokhasticheskie svoistva dinamiki kvantovykh sistem”, Vestnik SamGU – Estestvennonauchnaya seriya, 8:1 (2008), 479–494

2007
76.	G. G. Amosov, “On Weyl channels being covariant with respect to the maximum commutative group of unitaries”, J. Math. Phys., 48:1 (2007), 012104, 14 pp.	21 ^[x]
77.	G. G. Amosov, “Strong superadditivity conjecture holds for the quantum depolarizing channel in any dimension”, Phys. Rev. A, 75:6 (2007), 060304(R), 2 pp.	15 ^[x]

2006
78.	G. G. Amosov, A. D. Baranov, “On dilatation of contracting cocycles and perturbations of the group of shifts on the line by cocycles, II”, Math. Notes, 79:5 (2006), 719–720
79.	G. G. Amosov, A. D. Baranov, “Dilations of Contraction Cocycles and Cocycle Perturbations of the Translation Group of the Line”, Math. Notes, 79:1 (2006), 3–17
80.	G. G. Amosov, “Remark on the Additivity Conjecture for a Quantum Depolarizing Channel”, Problems Inform. Transmission, 42:2 (2006), 69–76
81.	G. G. Amosov, “Evolution Equations for Markov Cocycles Obtained by Second Quantization in the Symplectic Fock Space”, Theoret. and Math. Phys., 146:1 (2006), 152–157
82.	G. G. Amosov, S. Mancini, V. I. Manko, “Transmitting qudits through larger quantum channels”, J. Phys. A, 39:13 (2006), 3375–3380	5 ^[x]

2005
83.	G. G. Amosov, V. I. Man'ko, “Evolution of probability measures associated with quantum systems”, Theoret. and Math. Phys., 142:2 (2005), 306–310

2006
84.	G. G. Amosov, “On Markov perturbations of quantum random problems with stationary increments”, Theory Probab. Appl., 50:4 (2006), 650–658

2005
85.	G. G. Amosov, V. I. Manko, “Tomographic quantum measures for many degrees of freedom and the central limit theorem”, J. Phys. A, 38:10 (2005), 2173–2177	4 ^[x]

2004
86.	G. G. Amosov, V. Zh. Sakbaev, “On Self-Adjoint Extensions of Schrödinger Operators Degenerating on a Pair of Half-Lines and the Corresponding Markovian Cocycles”, Math. Notes, 76:3 (2004), 315–322

2005
87.	G. G. Amosov, “On Markovian perturbations of the group of unitary operators associated with a stochastic process with stationary increments”, Theory Probab. Appl., 49:1 (2005), 123–132

2004
88.	G. G. Amosov, A. D. Baranov, “On perturbations of the group of shifts on the line by unitary cocycles”, Proc. Amer. Math. Soc., 132:11 (2004), 3269–3273 (electronic)	3 ^[x]
89.	L. Accardi, G. Amosov, U. Franz, “Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 7:2 (2004), 183–194	13 ^[x]
90.	G. G. Amosov, P. Schuecker, “Non-Markov excursion set model of dark matter halo abundances”, Astronomy and Astrophysics, 421:2 (2004), 425–432	4 ^[x]

2003
91.	G. G. Amosov, “On Markovian cocycle perturbations in classical and quantum probability”, Int. J. Math. Math. Sci., 2003, no. 54, 3443–3467	12 ^[x]
92.	G. G. Amosov, V. I. Man'ko, “Quantum probability measure for parametric oscillators”, Phys. Lett. A, 318:4-5 (2003), 287–291	14 ^[x]
93.	G. G. Amosov, “Stationary quantum stochastic processes from the cohomological point of view”, Quantum probability and infinite dimensional analysis (Burg, 2001), QP–PQ: Quantum Probab. White Noise Anal., 15, World Sci. Publ., River Edge, NJ, 2003, 29–40	3 ^[x]
94.	G. G. Amosov, G. G. Amosov (jr.), O. S. Rozanova, “Towards a mathematical model of the aortic reservoir”, Biosystems, 71:1-2 (2003), 3–10	1 ^[x]
95.	G. G. Amosov, A. S. Holevo, “On the multiplicativity hypothesis for quantum communication channels”, Theory Probab. Appl., 47:1 (2003), 123–127

2001
96.	G. G. Amosov, “An approximation modulo $s_2$ of isometrical operators and cocycle conjugacy of endomorphisms of the CAR algebra”, Fundam. Prikl. Mat., 7:3 (2001), 925–930
97.	G. G. Amosov, A. V. Bulinski, M. E. Shirokov, “Regular Semigroups of Endomorphisms of von Neumann Factors”, Math. Notes, 70:5 (2001), 583–598
98.	G. G. Amosov, “On cocycle conjugacy of quasifree endomorphism semigroups on the CAR algebra”, Proceedings of the Seminar on Stability Problems for Stochastic Models, Part I (Naleczow, 1999), J. Math. Sci. (New York), 105, no. 6, 2001, 2496–2503	5 ^[x]

2000
99.	G. G. Amosov, “On the approximation of semigroups of isometries in a Hilbert space”, Russian Math. (Iz. VUZ), 44:2 (2000), 5–10
100.	G. G. Amosov, A. S. Holevo, R. F. Werner, “On the Additivity Conjecture in Quantum Information Theory”, Problems Inform. Transmission, 36:4 (2000), 305–313
101.	G. G. Amosov, “Cocycle perturbation of quasifree algebraic $K$-flow leads to required asymptotic dynamics of associated completely positive semigroup”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 3:2 (2000), 237–246	11 ^[x]

1997
102.	G. G. Amosov, A. V. Bulinski, “The Powers–Arveson index for quasifree dynamical semigroups”, Math. Notes, 62:6 (1997), 781–784