functional analysis,
operator algebras,
non-commutative probability,
quantum information theory,
mathematical methods in music theory.
Biography
Graduated from Moscow Institute of Physics and Technology. Member of the Editorial Board in Lobachevskii J. Mathematics; Ufa Mathematical Journal; Vestnik St.-Petersburg University, Mathematics; Mathematics and Theoretical Computer Science; Modelling and Data Analysis
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
2.
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.
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.
G. G. Amosov, A. S. Holevo, “On the multiplicativity hypothesis for quantum communication channels”, Theory Probab. Appl., 47:1 (2003), 123–127
5.
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.
G. G. Amosov, “Remark on the Additivity Conjecture for a Quantum Depolarizing Channel”, Problems Inform. Transmission, 42:2 (2006), 69–76
7.
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.
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
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.
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. ;
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
14.
Grigori Amosov, “On classical capacity of Weyl channels”, Quantum Inf. Process., 19 (2020), 401 , 11 pp. ;
G. G. Amosov, “Estimating the output entropy of a tensor product of two quantum channels”, Theoret. and Math. Phys., 182:3 (2015), 397–406
17.
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
18.
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
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;
G.G. Amosov, A.S. Mokeev, “On construction of anticliques for noncommutative operator graphs”, J. Math. Sci., 234:3 (2018), 269–275
21.
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
22.
G. G. Amosov, “On quantum tomography on locally compact groups”, Phys. Lett. A, 431 (2022), 128002 , 7 pp. ;
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. ;
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. ;
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;
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
28.
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.
G. G. Amosov, A. V. Bulinski, M. E. Shirokov, “Regular Semigroups of Endomorphisms of von Neumann Factors”, Math. Notes, 70:5 (2001), 583–598
31.
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. ;
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
34.
G. G. Amosov, V. Zh. Sakbaev, “On Analogs of Spectral Decomposition of a Quantum State”, Math. Notes, 93:3 (2013), 351–359
35.
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
36.
G. G. Amosov, S. Mancini, V. I. Man'ko, “On the information completeness of quantum tomograms”, Phys. Lett. A, 372:16 (2008), 2820–2824
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
38.
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
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
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. ;
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;
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;
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;
Grigori Amosov, “On operator systems generated by reducible projective unitary representations of compact groups”, Turk. J. Math., 43:5 (2019), 2366–2370
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
50.
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)
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
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
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
56.
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
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
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
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.
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
61.
G. G. Amosov, V. I. Man'ko, “Evolution of probability measures associated with quantum systems”, Theoret. and Math. Phys., 142:2 (2005), 306–310
62.
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
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
64.
G. G. Amosov, “On the approximation of semigroups of isometries in a Hilbert space”, Russian Math. (Iz. VUZ), 44:2 (2000), 5–10
65.
Grigori Amosov, “On constructing informationally complete covariant positive operator-valued measures”, Entropy, 25:5 (2023), 783 , 9 pp. ;
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
67.
A. O. Alekseev, G. G. Amosov, “On restoring a quantum state after the measurement”, Lobachevskii J. Math., 44:6 (2023), 1974–1979;
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
69.
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;
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
72.
G. G. Amosov, Ya. A. Korennoy, “On definition of quantum tomography via the Sobolev embedding theorem”, Lobachevskii J. Math., 40:10 (2019), 1433–1439
G. G. Amosov, A. V. Bulinski, “The Powers–Arveson index for quasifree dynamical semigroups”, Math. Notes, 62:6 (1997), 781–784
75.
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
76.
G. G. Amosov, M. E. Shirokov, “Alexander Semenovich Holevo: On the occasion of his 80th birthday”, Proc. Steklov Inst. Math., 324 (2024), 1–3
77.
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. ;
78.
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;
79.
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. ;
80.
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. ;
81.
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
82.
G. G. Amosov, A. S. Mokeev, “On Noncommutative Operator Graphs Generated by Resolutions of Identity”, Proc. Steklov Inst. Math., 313 (2021), 8–16
83.
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
84.
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, 63–70http://keldysh.ru/quant/2018/
85.
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, 131–138http://keldysh.ru/quant/2018/
86.
G. G. Amosov, “Algebraic methods of the study of quantum information transfer channels”, Journal of Mathematical Sciences, 241:2 (2019), 109–116
87.
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
88.
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
89.
G. G. Amosov, “O postroenii vozmuschenii polugruppy sdvigov na polupryamoi”, Tr. matem. tsentra imeni N.I. Lobachevskogo, 46:11 (2013), 3–5
G. G. Amosov, D. Goranskaya, I. Traskunov, “Quantum tomography and Kohn density functional theory”, J. Russian Laser Research, 31:3 (2010), 232–238
92.
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
93.
G. G. Amosov, V. Zh. Sakbaev, “Stokhasticheskie svoistva dinamiki kvantovykh sistem”, Vestnik SamGU – Estestvennonauchnaya seriya, 8:1 (2008), 479–494
94.
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
95.
G. G. Amosov, “On Markov perturbations of quantum random problems with stationary increments”, Theory Probab. Appl., 50:4 (2006), 650–658
96.
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, 202https://book.etudes.ru/toc/music/
97.
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
98.
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.
99.
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.
Lecture 11. Qudit systems G. G. Amosov, V. I. Yashin Course by G. G. Amosov and V. I. Yashin "Models of computation on quantum circuits" May 4, 2023 18:00
Lecture 8. Computation with magic G. G. Amosov, V. I. Yashin Course by G. G. Amosov and V. I. Yashin "Models of computation on quantum circuits" April 13, 2023 18:00
Lecture 7. $\mathrm{Clifford}+T$ circuits G. G. Amosov, V. I. Yashin Course by G. G. Amosov and V. I. Yashin "Models of computation on quantum circuits" April 6, 2023 18:00
Lecture 5. Stabilizer circuits G. G. Amosov, V. I. Yashin Course by G. G. Amosov and V. I. Yashin "Models of computation on quantum circuits" March 23, 2023 18:00
Lecture 2. Reversible classical circuits G. G. Amosov, V. I. Yashin Course by G. G. Amosov and V. I. Yashin "Models of computation on quantum circuits" March 2, 2023 18:00
Lecture 1. Definition of quantum circuits G. G. Amosov, V. I. Yashin Course by G. G. Amosov and V. I. Yashin "Models of computation on quantum circuits" February 16, 2023 18:00
Noncommutative Analysis and Quantum Information Theory, Collected papers. Dedicated to Academician Alexander Semenovich Holevo on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 324, ed. M. E. Shirokov, G. G. Amosov, 2024, 292 с. http://mi.mathnet.ru/book1967
Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, ed. A. N. Pechen, I. V. Volovich, G. G. Amosov, A. E. Teretenkov, 2021, 296 с. http://mi.mathnet.ru/book1832
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