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Amosov Grigori Gennadievich
(recent publications)
| by years | scientific publications | by types |



   2022
1. 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.  mathnet  crossref  isi  scopus;
2. G. G. Amosov, “On quantum tomography on locally compact groups”, Phys. Lett. A, 431 (2022), 128002 , 7 pp.  mathnet  crossref  isi  scopus;
3. 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  mathnet  crossref  crossref  scopus
4. 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.  mathnet  crossref  scopus;
5. G.G. Amosov, E.L. Baitenov, “On perturbation of C0-semigroups in Banach spaces generated by operator-valued measures”, Lobachevskii J. Math., 43:7 (2022), 1585–1597  crossref  scopus

   2021
6. 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.  mathnet
7. G. G. Amosov, A. S. Mokeev, “On Noncommutative Operator Graphs Generated by Resolutions of Identity”, Proc. Steklov Inst. Math., 313 (2021), 8–16  mathnet  crossref  crossref  isi  elib  scopus
8. 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.  mathnet  crossref  isi (cited: 1)  scopus (cited: 1);
9. 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  mathnet  crossref  mathscinet  isi  scopus
10. 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.  mathnet  crossref  adsnasa  isi (cited: 1)  scopus (cited: 2);
11. 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  mathnet  crossref  mathscinet  adsnasa  isi (cited: 8)  scopus (cited: 8);
12. Grigori Amosov, “Remark on negative solution to the Tsirelson conjecture about quantum correlations”, AIP Conf. Proc., 2362, 2021, 060001 , 4 pp.  mathnet  crossref  scopus;
13. 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  mathnet  crossref  crossref  isi  scopus
14. 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  mathnet  crossref  mathscinet  isi  scopus;

   2020
15. 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.  mathnet  crossref  mathscinet  adsnasa  isi (cited: 7)  scopus (cited: 7);  mathscinet
16. 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  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2);
17. G. G. Amosov, “On inner geometry of noncommutative operator graphs”, Eur. Phys. J. Plus, 135 (2020), 865 , 6 pp.  mathnet  crossref  isi (cited: 1)  scopus (cited: 1);
18. Grigori Amosov, “On classical capacity of Weyl channels”, Quantum Inf. Process., 19 (2020), 401 , 11 pp.  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 7)  scopus (cited: 7);
19. 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  mathnet  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1);
20. 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  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1);

   2019
21. 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  mathnet  crossref  crossref  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
22. G. G. Amosov, A. S. Mokeev, “On linear structure of non-commutative operator graphs”, Lobachevskii J. Math., 40:10 (2019), 1440–1443  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 5)
23. G. G. Amosov, Ya. A. Korennoy, “On definition of quantum tomography via the Sobolev embedding theorem”, Lobachevskii J. Math., 40:10 (2019), 1433–1439  mathnet  crossref  mathscinet  zmath  isi  scopus
24. Grigori Amosov, “On operator systems generated by reducible projective unitary representations of compact groups”, Turk. J. Math., 43:5 (2019), 2366–2370  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)
25. 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
26. G. G. Amosov, “On general properties of non-commutative operator graphs”, Lobachevskii J. Math., 39:3 (2018), 304–308  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 9)  scopus (cited: 9)
27. G. G. Amosov, S. Mancini, V. I. Man'ko, “Tomographic portrait of quantum channels”, Rep. Math. Phys., 81:2 (2018), 165–176  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 3)
28. 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.  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 11)  scopus (cited: 12)
29. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi  elib
30. 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/
31. 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
32. G. G. Amosov, “On Various Functional Representations of the Space of Schwarz Operators”, J. Math. Sci. (N. Y.), 252:1 (2021), 1–7  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)

   2017
33. 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.  mathnet  crossref  mathscinet  isi (cited: 16)  scopus (cited: 21)
34. 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  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 2)

   2018
35. G.G. Amosov, A.S. Mokeev, “On construction of anticliques for noncommutative operator graphs”, J. Math. Sci., 234:3 (2018), 269–275  mathnet  crossref  mathscinet  zmath  scopus (cited: 5)

   2019
36. G. G. Amosov, “Algebraic methods of the study of quantum information transfer channels”, Journal of Mathematical Sciences, 241:2 (2019), 109–116  mathnet  crossref  mathscinet  zmath  scopus

   2016
37. 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  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus (cited: 3)

   2015
38. G. G. Amosov, “Estimating the output entropy of a tensor product of two quantum channels”, Theoret. and Math. Phys., 182:3 (2015), 397–406  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 4)  elib  elib  scopus (cited: 6)
39. 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  mathnet  crossref  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)

   2016
40. 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  mathnet  crossref  mathscinet  isi (cited: 3)  elib  elib  scopus (cited: 2)
41. J. Math. Sci. (N. Y.), 215:6 (2016), 659–676  mathnet  crossref  mathscinet  elib  scopus (cited: 3)

   2015
42. 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  mathnet  elib

   2014
43. 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  mathnet  crossref  isi  elib  scopus

   2013
44. G. G. Amosov, V. Zh. Sakbaev, “On Analogs of Spectral Decomposition of a Quantum State”, Math. Notes, 93:3 (2013), 351–359  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus (cited: 1)
45. 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  mathnet  crossref  scopus (cited: 1)
46. 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  mathnet  crossref  isi (cited: 5)  elib (cited: 2)  scopus (cited: 7)
47. G. G. Amosov, “O postroenii vozmuschenii polugruppy sdvigov na polupryamoi”, Tr. matem. tsentra imeni N.I. Lobachevskogo, 46:11 (2013), 3–5  mathnet  elib

   2012
48. 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  mathnet (cited: 2)  mathscinet  elib (cited: 2)
49. 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.  mathnet  crossref  adsnasa  adsnasa  isi (cited: 29)  scopus (cited: 35)
50. 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  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi (cited: 4)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 4)
51. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)

   2011
52. 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  elib (cited: 1)
53. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)

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


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