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



   2021
1. 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
2. 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  scopus
3. 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);
4. 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  isi  scopus
5. 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  isi  scopus;
6. 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  isi (cited: 8)  scopus (cited: 8);
7. Grigori Amosov, “Remark on negative solution to the Tsirelson conjecture about quantum correlations”, AIP Conf. Proc., 2362, 2021, 060001 , 4 pp.  mathnet  crossref  scopus;
8. 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  crossref
9. G.G. Amosov, S.A. Grigoryan, A.Yu. Kuznetsova, “O C*-algebrakh, porozhdennykh mnozhestvom raspredelenii veroyatnostei”, Izvestiya VUZOV. Matematika, 2021, no. 8, 66–71  mathnet  crossref

   2020
10. 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  isi (cited: 6)  scopus (cited: 6);
11. 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);
12. 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);
13. Grigori Amosov, “On classical capacity of Weyl channels”, Quantum Inf. Process., 19 (2020), 401 , 11 pp.  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2);
14. 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  isi  elib  scopus;
15. 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  isi (cited: 1)  elib  scopus (cited: 1);

   2019
16. 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)
17. 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)
18. 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
19. 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)
20. 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
21. 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: 8)  scopus (cited: 8)
22. 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)
23. 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  isi (cited: 11)  scopus (cited: 12)
24. 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  isi  elib
25. 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/
26. 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
27. 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

   2017
28. 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: 15)  scopus (cited: 20)
29. 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
30. 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
31. 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
32. 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: 2)  elib  elib  scopus (cited: 2)

   2015
33. 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  isi (cited: 4)  elib  elib  scopus (cited: 4)
34. 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  isi (cited: 2)  elib  scopus (cited: 2)

   2016
35. 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)
36. J. Math. Sci. (N. Y.), 215:6 (2016), 659–676  mathnet  crossref  mathscinet  elib  scopus (cited: 2)

   2015
37. 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
38. 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
39. 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)
40. 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)
41. 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: 6)
42. 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
43. 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)
44. 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  isi (cited: 28)  scopus (cited: 32)
45. 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  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)
46. 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
47. 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)
48. 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
49. 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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