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Holevo Alexander Semenovich

Statistics Math-Net.Ru
Total publications: 177
Scientific articles: 164
Citations to the author: 518
Cited articles: 49
Presentations: 24

Number of views:
This page:4692
Abstract pages:13303
Full texts:3114
References:277
Professor
Doctor of physico-mathematical sciences (1976)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 2.09.1943
Phone: +7 (499) 941 01 92
E-mail:
Website: http://www.mi.ras.ru/~holevo
Keywords: quantum communication channel, channel capacity, completely positive map, dynamical semigroup, quantum stochastic process, resolution of the identity, optimal quantum measurement.
UDC: 519.248.3, 517.986, 621.391.1, 519.2, 621.378.001, 517.431, 535.14, 621.391.63, 519.25, 53, 519.217.1, 530.145.1, 519.283, 519.7, 519.240
MSC: 81P68, 94A17, 94A40, 47B10, 47B65, 46L53, 81.62, 62C99

Subject

Noncommutative probability, quantum information and statistical decision theory, mathematical statistics of random processes. Mathematical theory of quantum communication channels was developed, coding theorems of quantum information theory were established, noncommutative statistical decision theory was constructed, the structure of quantum Markov processes was investigated.

Biography

Graduated from the Moscow Institute of Physics and Technology in 1966, dyploma in «Applied mathematics and computer science». From 1969 works in the Steklov Mathematical Institute, Moscow. Candidate of phys-math sciences — 1969, Doctor of of phys-math sciences — 1975, Professor — 1986. List of publications contains nearly 170 titles including five monographs, four of them translated into English and published by the leading foreign Publishing houses (AMS, North Holland, Springer-Verlag). Awards: A. A. Markov Prize, Russian Academy of Sciences for the series of works on the noncommutative probability theory — 1997; Awards of the Russian Academy of Sciences for the best research achievements in 1992, 1995, 2008; International «Quantum Communication Award» — 1996; A. von Humboldt Research Award — 1999. Invited speaker at the International Congresses of Mathematicians — Berkeley (1986), Madrid (2006), and many other international and national conferences. Member of the Editorial boards of the journals: «Theory of probability and its applications», «Russian mathematical surveys (Uspekhi)», «Sbornik:mathematics», «Theoretical and mathematical physics», «Izvestiya vuzov: Mathematics», «IEEE Transactions on Information Theory», «Quantum Information Processing», «Reports on Mathematical Physics».

   
Main publications:
  1. A. S. Holevo, Studies in general theory of statistical decisions, Proc. Steklov Math. Inst., 124, 1978  mathscinet
  2. A. S. Holevo, Probabilistic and statistical aspects of quantum theory, North Holland, 1982  mathscinet  zmath
  3. A. S. Holevo, Statistical structure of quantum theory, Lect. Notes Phys., 67, Springer, 2001  mathscinet  zmath
  4. A. S. Holevo, Quantum systems, channels, information, DeGruyter, 2012

http://www.mathnet.ru/eng/person8777
List of publications on Google Scholar
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Full list of publications:
1. Yu. I. Bogdanov, B. I. Bantysh, V. F. Lukichëv, A. A. Orlikovskii, A. S. Kholevo, “Dinamika stseplennosti v kvantovykh operatsiyakh na sverkhprovodnikovykh fazovykh kubitakh”, Izv. RAN. Ser. fizicheskaya, 78:1 (2014), 13–17  crossref  elib
2. A. S. Holevo, “Gaussian classical-quantum channels: gain from entanglement-assistance”, Problems Inform. Transmission, 50:1 (2014), 1–14  mathnet  crossref  isi
3. A. A. Kuznetsova, A. S. Kholevo, “Teoremy kodirovaniya dlya gibridnykh kanalov. II”, TVP, 59:1 (2014), 168–178  mathnet  mathnet  crossref
4. A. Mari, V. Giovannetti, A. S. Holevo, “Quantum state majorization at the output of bosonic Gaussian channels”, Nature Communications, 5 (2014), 3826, 5 pp.  crossref  isi
5. V. Giovannetti, A. S. Holevo, A. Mari, Majorization and additivity for multimode bosonic Gaussian channels, 2014, 15 pp., arXiv: 1405.4066
6. A. S. Holevo, Quantum systems, channels, information. A mathematical introduction, De Gruyter, Berlin–Boston, 2013, ISBN: 978-3-11-027325-0, 370 pp. (rasshirennoe i ispravlennoe izdanie angliiskogo perevoda monografii)  mathscinet  zmath
7. A. S. Holevo, “Information capacities of quantum measurement channels”, 19e Tsentralno-evropeiskoe soveschanie po kvantovoi optike (Sinaia, Romania, 2–6.07.2012), Phys. Scr., T153, 2013, 014034, 4 pp.  crossref  isi  elib
8. A. S. Holevo, “Extreme bosonic linear channels”, Theoret. and Math. Phys., 174:2 (2013), 288–297  mathnet  mathnet  crossref  crossref  isi  elib  elib
9. A. S. Holevo, M. E. Shirokov, “On classical capacities of infinite-dimensional quantum channels”, Problems Inform. Transmission, 49:1 (2013), 15–31  mathnet  crossref  isi  elib
10. A. S. Holevo, “Capacities of Gaussian classical-quantum channels”, Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on (Istanbul, Turkey, July 7–12 2013), IEEE, 2013, 176–180  crossref
11. A. A. Kuznetsova, A. S. Kholevo, “Coding Theorems for Hybrid Channels”, TVP, 58:2 (2013), 298–324  mathnet  crossref  elib; A. A. Kuznetsova, A. S. Holevo, “Coding Theorems for Hybrid Channels”, Theory Probab. Appl., 58:2 (2014), 264–285  crossref  isi
12. V. Giovannetti, A. S. Holevo, R. Garcia-Patron, A solution of the Gaussian optimizer conjecture, 2013, arXiv: 1312.2251  adsnasa
13. V. Giovannetti, R. Garcia-Patron, N. J. Cerf, A. S. Holevo, Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture, 2013, arXiv: 1312.6225
14. A. S. Holevo, V. Giovannetti, “Quantum channels and their entropic characteristics”, Rep. Prog. Phys., 75 (2012), 046001, 45 pp.  crossref  mathscinet  isi  elib
15. A. S. Holevo, “Information capacity of a quantum observable”, Problems Inform. Transmission, 48:1 (2012), 1–10  mathnet  mathnet  crossref  isi  elib
16. A. S. Holevo, “Entropy gain and the Choi–Jamiolkowski correspondence for infinite-dimensional quantum evolutions”, Theoret. and Math. Phys., 166:1 (2011), 123–138  mathnet  crossref  crossref  adsnasa  isi  elib  elib
17. A. S. Holevo, Probabilistic and statistical aspects of quantum theory, 2nd edition, Edizioni della Normale, Pisa, 2011, ISBN: 978-88-7642-375-8  mathscinet  zmath
18. F. Caruso, J. Eisert, V. Giovannetti, A. S. Holevo, “The optimal unitary dilation for bosonic Gaussian channels”, Phys. Rev. A, 84 (2011), 022306, 10 pp.  crossref  adsnasa  isi  elib
19. A. S. Holevo, “The Choi-Jamiolkowski forms of quantum Gaussian channels”, J. Math. Phys., 52 (2011), 042202, 12 pp.  crossref  mathscinet  adsnasa  isi  elib
20. A. S. Kholevo, “Klassicheskaya i kvantovaya entropii kak mery informatsii”, Trudy Mezhdunarodnykh nauchnykh konferentsii «Situatsionnye tsentry i informatsionno-analiticheskie sistemy klassa 4i» (Moskva, 14–16 noyabrya 2011 g.), Izd-vo IFTI, Moskva–Protvino, 2011, 1–5
21. A. S. Kholevo, Kvantovye sistemy, kanaly, informatsiya, MTsNMO, M., 2010, ISBN: 978-5-94057-574-0, 328 pp.
22. A. S. Holevo, “Two mathematical problems of quantum information theory”, Mathematical horizons for quantum physics, Lecture Note Series, Institute for Mathematical Sciences, National University of Singapore, 20, World Scientific, 2010, 109–131  mathscinet
23. A. S. Holevo, “The entropy gain of infinite-dimensional quantum evolutions”, Dokl. Math., 82:2 (2010), 730–731  crossref  mathscinet  zmath  isi  elib  elib
24. A. S. Kholevo, “Kvantovaya teoriya informatsii. Kanaly i propusknye sposobnosti”, Informatsionnye tekhnologii i vychislitelnye sistemy, 3 (2010), 39–46  elib
25. A. S. Holevo, M. E. Shirokov, “Mutual and coherent information for infinite-dimensional quantum channels”, Problems Inform. Transmission, 46:3 (2010), 201–218  mathnet  crossref  mathscinet  isi  elib
26. V. Giovannetti, A. S. Holevo, S. Lloyd, L. Maccone, “Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results”, J. Phys. A, 43:41 (2010), 415305, 10 pp.  crossref  mathscinet  zmath  isi  elib
27. T. Heinosaari, A. S. Holevo, M. M. Wolf, “The semigroup structure of Gaussian channels”, Quantum Inf. Comput., 10:7-8 (2010), 619–635  mathscinet  zmath  isi  elib
28. A. S. Holevo, J.-P. Pellonpää, “Extreme Covariant Observables for Type I Symmetry Groups”, Found. Phys., 39:6 (2009), 625–641  crossref  mathscinet  zmath  adsnasa  isi  elib
29. F. Caruso, J. Eisert, V. Giovannetti, A. S. Holevo, “Multi-mode bosonic Gaussian channels”, New J. Phys., 10 (2008), 083030, 33 pp.  crossref  adsnasa  isi
30. A. S. Holevo, V. Giovannetti, “Quantum shared broadcasting”, Quantum Inf. Process., 7:2-3 (2008), 55–69  crossref  mathscinet  zmath  isi  elib
31. A. S. Holevo, “Entanglement-Breaking Channels in Infinite Dimensions”, Problems Inform. Transmission, 44:3 (2008), 171–184  mathnet  crossref  mathscinet  zmath  isi  elib  elib
32. M. E. Shirokov, A. S. Holevo, “On Approximation of Infinite-Dimensional Quantum Channels”, Problems Inform. Transmission, 44:2 (2008), 73–90  mathnet  crossref  mathscinet  isi  elib  elib
33. A. S. Holevo, “Single-Mode Quantum Gaussian Channels: Structure and Quantum Capacity”, Problems Inform. Transmission, 43:1 (2007), 1–11  mathnet  crossref  mathscinet  isi  elib  elib
34. A. S. Holevo, “The additivity problem in quantum information theory”, International Congress of Mathematicians, Vol. III, Eur. Math. Soc., Zürich, 2006, 999–1018  mathscinet  zmath
35. N. Datta, M. Fukuda, A. S. Holevo, “Complementarity and additivity for covariant channels”, Quantum Inf. Process., 5:3 (2006), 179–207  crossref  mathscinet  zmath  isi  elib
36. F. Caruso, V. Giovannetti, A. S. Holevo, “One-mode Bosonic Gaussian channels: a full weak-degradability classification”, New Journal of Physics, 8 (2006), 310  crossref  adsnasa  isi
37. A. S. Holevo, “Multiplicativity of $p$-norms of completely positive maps and the additivity problem in quantum information theory”, Russian Math. Surveys, 61:2 (2006), 301–339  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
38. A. S. Kholevo, “Complementary channels and the additivity problem”, TVP, 51:1 (2006), 133–143  mathnet  crossref  mathscinet  zmath  elib; A. S. Holevo, “Complementary channels and the additivity problem”, Theory Probab. Appl., 51:1 (2007), 92–100  crossref  mathscinet  zmath  isi  elib
39. A. S. Holevo, “Locating a photon:position observables and an uncertainty relation”, Russian Microelectronics, 35:1 (2006), 21–30  elib
40. N. Datta, A. S. Holevo, Yu. M. Suhov, “Additivity for transpose depolarizing channels”, Int. J. Quant. Inform.,, 4:1 (2006), 85–98  crossref  zmath  isi  elib
41. A. S. Holevo, “Quantum channels: classical capacity”, Encyclopedia of Mathematical Physics, Academic Press, 2006, 142–144
42. R. F. Werner, A. S. Holevo, M. E. Shirokov, “On the notion of entanglement in Hilbert spaces”, Russian Math. Surveys, 60:2 (2005), 359–360  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
43. N. Datta, A. S. Holevo, Yu. M. Sukhov, “On a Sufficient Additivity Condition in Quantum Information Theory”, Problems Inform. Transmission, 41:2 (2005), 76–90  mathnet  crossref  mathscinet  zmath  elib  elib
44. A. S. Holevo, M. E. Shirokov, “Continuous ensembles and the capacity of infinite-dimensional quantum channels”, Theory Probab. Appl., 50:1 (2005), 86–98  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
45. A. S. Holevo, “The additivity problem and constrained quantum channels”, Proc. Int. Soc. Opt. Eng., 5833 (2005), 196-201  elib
46. A. S. Holevo, “Additivity conjecture and covariant channels”, Int. J. Quant., 3:1 (2005), 41-48  crossref  isi  elib
47. A. S. Holevo, M. E. Shirokov, “On Shor's channel extension and constrained channels”, Comm. Math. Phys., 249:2 (2004), 417–430  crossref  mathscinet  zmath  adsnasa  isi  elib
48. A. S. Holevo, M. E. Shirokov, “The additivity problem for constrained quantum channels”, Russian Math. Surveys, 59:2 (2004), 385–387  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
49. A. S. Kholevo, “Asymptotic estimation of a shift parameter of a quantum state”, TVP, 49:2 (2004), 335–350  mathnet  crossref  mathscinet  zmath; A. S. Holevo, “Asymptotic estimation of a shift parameter of a quantum state”, Theory Probab. Appl., 49:2 (2005), 207–220  crossref  mathscinet  zmath  isi
50. A. S. Holevo, “Quantum and classical stochastic calculus”, Quantum probability communications (Grenoble, 1998), Vol. XI, QP-PQ, XI, World Sci. Publ., River Edge, NJ, 2003, 199–219  mathscinet  zmath
51. A. S. Kholevo, Veroyatnostnye i statisticheskie aspekty kvantovoi teorii, 2-e izd., Institut kompyuternykh issledovanii, Moskva–Izhevsk, 2003, ISBN: 5939722547, 410 pp.
52. A. S. Kholevo, Statisticheskaya struktura kvantovoi teorii, Institut kompyuternykh issledovanii, Izhevsk, 2003
53. A. S. Kholevo, “Entanglement-assisted capacities of constrained quantum channels”, TVP, 48:2 (2003), 359–374  mathnet  crossref  mathscinet  zmath; A. S. Holevo, “Entanglement-assisted capacities of constrained quantum channels”, Theory Probab. Appl., 48:2 (2004), 243–255  crossref  mathscinet  zmath  isi  elib
54. A. S. Holevo, “Optimal receiver of a binary coherent signals based on the principle of optical feedback”, Laser Physics, 13:12 (2003), 1558–1561  isi  elib
55. A. S. Holevo, “On states, channels, and purification”, Quantum Inf. Process., 1:1-2 (2002), 1–4  crossref  mathscinet  isi
56. R. F. Werner, A. S. Holevo, “Counterexample to an additivity conjecture for output purity of quantum channels”, Quantum information theory, J. Math. Phys., 43, no. 9, 2002, 4353–4357  crossref  mathscinet  zmath  adsnasa  isi  elib
57. A. S. Holevo, “On entanglement-assisted classical capacity”, Quantum information theory, J. Math. Phys., 43, no. 9, 2002, 4326–4333  crossref  mathscinet  zmath  adsnasa  isi
58. A. S. Kholevo, Vvedenie v kvantovuyu teoriyu informatsii, MTsNMO, M., 2002, ISBN: 5-94057-017-8, 128 pp.
59. G. G. Amosov, A. S. Kholevo, “On the multiplicativity hypothesis for quantum communication channels”, TVP, 47:1 (2002), 143–146  mathnet  crossref  mathscinet  zmath; G. G. Amosov, A. S. Holevo, “On the multiplicativity hypothesis for quantum communication channels”, Theory Probab. Appl., 47:1 (2003), 123–127  crossref  mathscinet  zmath  isi  elib
60. A. S. Holevo, Statistical structure of quantum theory, Lecture Notes in Physics. Monographs, 67, Springer-Verlag, Berlin, 2001, ISBN: 3-540-42082-7, x+159 pp.  mathscinet
61. A. S. Holevo, “Coding theorems of quantum information theory”, XIIIth International Congress on Mathematical Physics (London, 2000), Int. Press, Boston, MA, 2001, 415–422  mathscinet  zmath
62. A. S. Holevo, “Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory”, Math. Methods Statist., 10:1 (2001), 6–22  mathscinet  zmath
63. A. S. Holevo, “An invitation to quantum estimation”, Math. Methods Statist., 10:1 (2001), 1–5  mathscinet  zmath
64. A. S. Holevo, “Lévy processes and continuous quantum measurements”, Lévy processes, Birkhäuser Boston, Boston, MA, 2001, 225–239  mathscinet  zmath
65. A. S. Holevo, R. F. Werner, “Evaluating capacities of Bosonic Gaussian channels”, Phys. Rev. A, 63 (2001), 032312, 13 pp.  crossref  adsnasa  isi
66. A. S. Holevo, M. Sohma, O. Hirota, “Error exponents for quantum channels with constrained inputs”, Rep. Math. Phys., 46:3 (2000), 343–358  crossref  mathscinet  zmath  adsnasa  isi  elib
67. A. S. Holevo, “Reliability function of general classical-quantum channel”, IEEE Trans. Inform. Theory, 46:6 (2000), 2256–2261  crossref  mathscinet  zmath  isi  elib
68. 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  mathnet  mathscinet  zmath
69. A. S. Holevo, M. Sohma, O. Hirota, “The capacity of quantum Gaussian channels”, Phys. Rev. A, 59:3 (1999), 1820–1828  crossref  adsnasa  isi  elib
70. A. S. Holevo, “Sending quantum information with Gaussian states”, Proc. of the Fourth International Conference on Quantum Communication, Computing and Measurement (Evanston, 22–27.08.1998), eds. P. Kumar, M. D'Ariano and O. Hirota, Plenum Press, New York–London, 1999, 75–82
71. A. S. Holevo, “Generalized imprimitivity systems and canonical conjugateness in quantum mechanics”, Quantization, coherent states, and Poisson structures (Białowieża, 1995), PWN, Warsaw, 1998, 207–218  mathscinet
72. A. S. Holevo, “Covariant quantum dynamical semigroups: unbounded generators”, Irreversibility and causality (Goslar, 1996), Lecture Notes in Phys., 504, Springer, Berlin, 1998, 67–81  mathscinet  adsnasa
73. A. S. Holevo, “Radon-Nikodým derivatives of quantum instruments”, J. Math. Phys., 39:3 (1998), 1373–1387  crossref  mathscinet  zmath  adsnasa  isi  elib
74. A. S. Holevo, “The capacity of the quantum channel with general signal states”, IEEE Trans. Inform. Theory, 44:1 (1998), 269–273  crossref  mathscinet  zmath  isi  elib
75. A. S. Holevo, “Quantum coding theorems”, Russian Math. Surveys, 53:6 (1998), 1295–1331  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
76. M. V. Burnashev, A. S. Holevo, “On the Reliability Function for a Quantum Communication Channel”, Problems Inform. Transmission, 34:2 (1998), 97–107  mathnet  mathscinet  zmath
77. M. V. Burnashev, A. S. Holevo, On reliability function of quantum communication channel, 1997, 8 pp., arXiv: quant-ph/9703013
78. A. S. Holevo, “On covariant instruments in quantum measurement theory”, Quantum Communication, Computing and Measurement. Proc. of the Third International Conference (Shizuoka, 25-30.09.1996.), eds. O. Hirota, A. S. Holevo and C. Caves, Plenum Press, New York - London, 1997, 223–232
79. A. S. Holevo, “The structure of classical noise”, Analysis, geometry and probability, Texts Read. Math., 10, Hindustan Book Agency, Delhi, 1996, 73–86  mathscinet  zmath
80. A. S. Holevo, “Stochastic differential equations in Hilbert space and quantum Markovian evolutions”, Probability theory and mathematical statistics (Tokyo, 1995), World Sci. Publ., River Edge, NJ, 1996, 122–131  mathscinet  zmath
81. A. S. Holevo, “Exponential formulae in quantum stochastic calculus”, Proc. Roy. Soc. Edinburgh Sect. A, 126:2 (1996), 375–389  crossref  mathscinet  zmath  elib
82. A. S. Holevo, “On dissipative stochastic equations in a Hilbert space”, Probab. Theory Related Fields, 104:4 (1996), 483–500  crossref  mathscinet  zmath  isi  elib
83. A. S. Holevo, “Covariant quantum Markovian evolutions”, J. Math. Phys., 37:4 (1996), 1812–1832  crossref  mathscinet  zmath  adsnasa  isi
84. A. S. Holevo, “There exists a non-standard dynamical semigroup on $\mathfrak L(\mathscr H)$”, Russian Math. Surveys, 51:6 (1996), 1206–1207  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
85. A. S. Holevo, M. Sasaki, T. S. Usuda, O. Hirota, “Application of the Jaynes-Kummings model for the detection of nonorthogonal quantum states”, Phys. Rev. A, 53 (1996), 1273–1279  crossref  adsnasa  isi
86. A. Barchielli, A. S. Holevo, “Constructing quantum measurement processes via classical stochastic calculus”, Stochastic Process. Appl., 58:2 (1995), 293–317  crossref  mathscinet  zmath  isi  elib
87. A. S. Holevo, “On the structure of covariant dynamical semigroups”, J. Funct. Anal., 131:2 (1995), 255–278  crossref  mathscinet  zmath  isi
88. A. S. Holevo, “On translation-covariant quantum Markov equations”, Izv. Math., 59:2 (1995), 427–443  mathnet  crossref  mathscinet  zmath  isi
89. A. S. Holevo, “Excessive maps, “arrival times” and perturbation of dynamical semigroups”, Izv. Math., 59:6 (1995), 1311–1325  mathnet  crossref  mathscinet  zmath  isi
90. A. S. Holevo, “A note on covariant dynamical semigroups”, Rep. Math. Phys., 32:2 (1993), 211–216  crossref  mathscinet  zmath  adsnasa  elib
91. A. S. Holevo, “On conservativity of covariant dynamical semigroups” (Toruń, 1992), Rep. Math. Phys., Proceedings of the XXV Symposium on Mathematical Physics, 33, no. 1-2, 1993, 95–110  crossref  mathscinet  zmath  adsnasa  elib
92. A. S. Kholevo, “Structure of covariant dynamical semigroups”, Russian Acad. Sci. Dokl. Math., 47:1 (1993), 161–167  mathnet  mathscinet  zmath
93. A. Barchielli, A. S. Holevo, G. Lupieri, “An analogue of Hunt's representation theorem in quantum probability”, J. Theoret. Probab., 6:2 (1993), 231–265  crossref  mathscinet  zmath  elib
94. A. S. Kholevo, “On the Lévy–Khinchin formula in noncommutative probability theory”, Theory Probab. Appl., 38:4 (1993), 660–672  mathnet  crossref  mathscinet  zmath
95. A. S. Holevo, “Time-ordered exponentials in quantum stochastic calculus”, Quantum probability & related topics, QP-PQ, VII, World Sci. Publ., River Edge, NJ, 1992, 175–202  mathscinet  zmath  adsnasa
96. A. S. Holevo, “Statistical inference for quantum processes”, Quantum aspects of optical communications (Paris, 1990), Lecture Notes in Phys., 378, Springer, Berlin, 1991, 127–137  mathscinet  adsnasa  isi
97. A. S. Holevo, “An analog of the Itô decomposition for multiplicative processes with values in a Lie group”, Sankhyā Ser. A, 53:2 (1991), 158–161  mathscinet  zmath
98. A. S. Holevo, “Quantum probability and quantum statistics”, Probability theory – 8, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 83, VINITI, Moscow, 1991, 5–132  mathnet  mathscinet  zmath
99. L. V. Denisov, A. S. Holevo, “Conditionally positive definite functions on the coefficient algebra of a nonabelian group”, Probability theory and mathematical statistics (Vilnius, 1989), Vol. I, “Mokslas”, Vilnius, 1990, 261–270  mathscinet
100. A. S. Holevo, “An analog of the Itô decomposition for multiplicative processes with values in a Lie group”, Quantum probability and applications, V (Heidelberg, 1988), Lecture Notes in Math., 1442, Springer, Berlin, 1990, 211–215  mathscinet  isi
101. A. S. Holevo, “Limit theorems for repeated measurements and continuous measurement processes”, Quantum probability and applications, IV (Rome, 1987), Lecture Notes in Math., 1396, Springer, Berlin, 1989, 229–255  mathscinet  isi
102. A. S. Kholevo, “Conditionally positive-definite functions in quantum probability theory”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Nov. dostizh., 36, VINITI, M., 1989, 103–147  mathnet  mathscinet  zmath; A. S. Holevo, “Conditionally positive-definite functions in quantum probability theory”, J. Soviet Math., 56:5 (1991), 2670–2697  crossref  mathscinet  zmath
103. A. S. Kholevo, “A quantum stochastic calculus”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Nov. dostizh., 36, VINITI, M., 1989, 3–28  mathnet  mathscinet  zmath; A. S. Holevo, “A quantum stochastic calculus”, J. Soviet Math., 56:5 (1991), 2609–2624  crossref  mathscinet  zmath
104. A. S. Kholevo, “Stochastic representations of quantum dynamical semi-groups”, Statisticheskaya mekhanika i teoriya dinamicheskikh sistem, K 80-letiyu so dnya rozhdeniya akademika Nikolaya Nikolaevicha Bogolyubova, Tr. MIAN SSSR, 191, Nauka, M., 1989, 130–139  mathnet  mathscinet  zmath; A. S. Holevo, “Stochastic representations of quantum dynamical semi-groups”, Proc. Steklov Inst. Math., 191 (1992), 145–154  mathscinet  zmath
105. A. S. Kholevo (red.), Kvantovye sluchainye protsessy i otkrytye sistemy, Sb. statei 1982–1984, Matematika. Novoe v zarubezhnoi nauke, 42, Mir, M., 1988, 223 pp.  mathscinet
106. A. S. Holevo, “A noncommutative generalization of conditionally positive definite functions”, Quantum probability and applications, III (Oberwolfach, 1987), Lecture Notes in Math., 1303, Springer, Berlin, 1988, 128–148  mathscinet  isi
107. A. S. Holevo, “Conditionally positive definite functions in quantum probability”, Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, 2, Amer. Math. Soc., Providence, RI, 1987, 1011–1020  mathscinet
108. A. S. Holevo, “Lévy–Khintchine Representation in Quantum Theory of Probability”, Theory Probab. Appl., 32:1 (1987), 131–136  mathnet  crossref  mathscinet  zmath  isi
109. A. S. Holevo, “Quantum estimation”, Adv. Statist. Signal Proc., v. 1, JAI Press Inc., 1987, 157–202
110. A. S. Kholevo, “On a generalization of canonical quantization”, Izv. AN SSSR. Ser. matem., 50:1 (1986), 181–194  mathnet  mathscinet  zmath; A. S. Kholevo, “On a generalization of canonical quantization”, Math. USSR-Izv., 28:1 (1987), 175–188  crossref  mathscinet  zmath
111. A. S. Kholevo, “Infinite-divisible instruments in quantum probability theory”, TVP, 31:3 (1986), 560–564  mathnet  mathscinet  zmath; A. S. Holevo, “Infinite-divisible instruments in quantum probability theory”, Theory Probab. Appl., 31:3 (1987), 493–497  crossref  mathscinet  zmath  isi
112. A. S. Holevo, “Statistical definition of observable and the structure of statistical models”, Rep. Math. Phys., 22:3 (1985), 385–407  crossref  mathscinet  zmath  adsnasa
113. A. S. Holevo, Statistical structure of quantum mechanics and hidden parameters, Novoe v Zhizni, Nauke, Tekhnike: Seriya “Matematika, Kibernetika” [Current Life, Science and Technology: Series “Mathematics and Cybernetics”], 85, “Znanie”, Moscow, 1985, 32 pp.  mathscinet
114. A. S. Holevo, “On the principle of quantum nondemolition measurements”, Theoret. and Math. Phys., 65:3 (1985), 1250–1255  mathnet  crossref  mathscinet  adsnasa  isi
115. A. S. Holevo, “Covariant measurements and imprimitivity systems”, Quantum probability and applications to the quantum theory of irreversible processes (Villa Mondragone, 1982), Lecture Notes in Math., 1055, Springer, Berlin, 1984, 153–172  mathscinet  isi
116. A. S. Holevo, “Bounds for generalized uncertainty of the shift parameter”, Probability theory and mathematical statistics (Tbilisi, 1982), Lecture Notes in Math., 1021, Springer, Berlin, 1983, 243–251  mathscinet  isi
117. N. A. Bogomolov, A. S. Kholevo, “A characterization of the covariant resolutions of the identity”, Funct. Anal. Appl., 17:2 (1983), 131–132  mathnet  crossref  mathscinet  zmath  isi
118. A. S. Holevo, “Generalized imprimitivity systems for abelian groups”, Soviet Math. (Iz. VUZ), 27:2 (1983), 53–80  mathnet  mathscinet  zmath
119. A. S. Holevo, “On measurements of the parameters of a quantum random process”, Theoret. and Math. Phys., 57:3 (1983), 1238–1247  mathnet  crossref  mathscinet  adsnasa  isi
120. A. S. Holevo, “Testing statistical hypotheses in quantum theory”, Probab. Math. Statist., 3:1 (1982), 113–126 (1983)  mathscinet  zmath
121. A. S. Holevo, Probabilistic and statistical aspects of quantum theory, Translated from the Russian by the author, North-Holland Series in Statistics and Probability, 1, North-Holland Publishing Co., Amsterdam, 1982, ISBN: 0-444-86333-8, xii+312 pp.  mathscinet  zmath
122. A. S. Holevo, “Quantum-probabilistic investigation of the statistics of readings, using a “Dolinar device””, Soviet Math. (Iz. VUZ), 26:8 (1982), 1–20  mathnet  mathscinet  zmath
123. H. A. Bogomolov, A. S. Kholevo, “Razlozheniya edinitsy, kovariantnye otnositelno predstavleniya abelevoi lokalno kompaktnoi gruppy”, Tr. NIVTs MGU, M., 1981, 45–59
124. A. S. Holevo, Probabilistic and statistical aspects of quantum theory, Nauka, Moscow, 1980, 320 pp.  mathscinet  zmath
125. A. S. Holevo, “Covariant measurements and uncertainty relations”, Rep. Math. Phys., 16:3 (1979), 385–400  crossref  mathscinet  zmath  adsnasa  elib
126. A. S. Holevo, “On Capacity of a Quantum Communications Channel”, Problems Inform. Transmission, 15:4 (1979), 247–253  mathnet  mathscinet  zmath
127. A. S. Holevo, “Estimation of shift parameters of a quantum state”, Rep. Math. Phys., 13:3 (1978), 379–399  crossref  mathscinet  zmath  adsnasa
128. N. P. Rasulov, A. S. Kholevo, “A regression problem for continuous time series”, TVP, 23:4 (1978), 762–771  mathnet  mathscinet  zmath; N. P. Rasulov, A. S. Holevo, “A regression problem for continuous time series”, Theory Probab. Appl., 22:4 (1979), 731–740  crossref  mathscinet  zmath
129. A. S. Kholevo, “On asymptotically optimal hypotheses testing in quantum statistics”, TVP, 23:2 (1978), 429–432  mathnet  mathscinet  zmath; A. S. Holevo, “On asymptotically optimal hypotheses testing in quantum statistics”, Theory Probab. Appl., 23:2 (1979), 411–415  crossref  mathscinet  zmath
130. A. S. Holevo, “Commutation superoperator of a state and its applications to the noncommutative statistics”, Rep. Mathematical Phys., 12:2 (1977), 251–271  crossref  mathscinet  zmath  adsnasa  elib
131. A. S. Holevo, “Problems in the mathematical theory of quantum communication channels”, Rep. Mathematical Phys., 12:2 (1977), 273–278  crossref  mathscinet  zmath  adsnasa  elib
132. A. S. Kholevo, “Investigations in the general theory of statistical decisions”, Tr. MIAN SSSR, 124, 1976, 3–140, 141 pp.  mathnet  mathscinet  mathscinet  mathscinet  zmath; A. S. Kholevo, “Investigations in the general theory of statistical decisions”, Proc. Steklov Inst. Math., 124 (1978), 1–140  mathscinet  mathscinet  zmath
133. A. S. Holevo, “Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory”, Proceedings of the Third Japan–USSR Symposium on Probability Theory (Tashkent, 1975), Lecture Notes in Math., 550, Springer, Berlin, 1976, 194–222  mathscinet
134. A. S. Kholevo, “Optimalnoe izmerenie amplitud kompleksnykh signalov na fone kvantovogo shuma”, Trudy 4-go Mezhdunarodnogo simpoziuma po teorii informatsii, Leningrad, 1976
135. A. S. Kholevo, “An integral over a measure with values in the space conjugated to a partially ordered Banach space”, Problemy teorii veroyatnostnykh raspredelenii. 3, Zap. nauchn. sem. LOMI, 55, Izd-vo «Nauka», Leningrad. otd., L., 1976, 26–34  mathnet  mathscinet  zmath; A. S. Holevo, “An integral over a measure with values in the space conjugated to a partially ordered Banach space”, J. Soviet Math., 16:2 (1981), 934–939  crossref  mathscinet  zmath
136. A. S. Holevo, “On a vector-valued integral in the “noncommutative” statistical decision theory”, J. Multivariate Anal., 5:4 (1975), 462–465  crossref  mathscinet  zmath  elib
137. A. S. Holevo, “Some statistical problems for quantum Gaussian states”, IEEE Trans. Information Theory, IT-21:5 (1975), 533–543  crossref  mathscinet  zmath
138. A. S. Holevo, “Mathematical problems in the theory of quantum channels”, International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part I. Axiomatic quantum field theory, Collection of talks (Moscow, 12–17 December, 1972), Trudy Mat. Inst. Steklov., 135, 1975, 226–227  mathnet
139. A. S. Kholevo, “The theory of statistical decisions on an operator algebra”, Sov. Math. Dokl., 15 (1974), 1276–1281 (1975)  mathscinet  zmath
140. A. S. Kholevo, “Optimal measurement of the mean value of a Gaussian state”, Engrg. Cybernetics, 12:5 (1974), 128–130  mathscinet
141. A. S. Holevo, “Remarks on Optimal Quantum Measurements”, Problems Inform. Transmission, 10:4 (1974), 317–320  mathnet  mathscinet  zmath
142. A. S. Holevo, “On the general problem of mean estimation”, J. Multivariate Anal., 3 (1973), 262–275  crossref  mathscinet  zmath  elib
143. A. S. Holevo, “Statistical decision theory for quantum systems”, J. Multivariate Anal., 3 (1973), 337–394  crossref  mathscinet  zmath  elib
144. A. S. Holevo, “A Generalization of the Rao–Cramér Inequality”, Theory Probab. Appl., 18:2 (1973), 359–362  mathnet  crossref  mathscinet  zmath
145. A. S. Holevo, “Information-Theoretical Aspects of Quantum Measurement”, Problems Inform. Transmission, 9:2 (1973), 110–118  mathnet  mathscinet  zmath
146. A. S. Holevo, “Bounds for the Quantity of Information Transmitted by a Quantum Communication Channel”, Problems Inform. Transmission, 9:3 (1973), 177–183  mathnet  mathscinet  zmath
147. A. S. Holevo, “Optimal quantum measurements”, Theoret. and Math. Phys., 17:3 (1973), 1172–1177  mathnet  crossref  mathscinet  zmath  adsnasa
148. A. S. Holevo, “On the quasiequivalence of quasifree states on the $C^*$-algebra of CAR”, Theoret. and Math. Phys., 14:2 (1973), 107–111  mathnet  crossref  zmath  adsnasa
149. A. S. Holevo, “Statistical problems in quantum physics”, Proceedings of the Second Japan-USSR Symposium on Probability Theory (Kyoto, 1972), Lecture Notes in Math., 330, eds. G. Maruyama, Yu. V. Prokhorov, Springer-Verlag, 1973, 104–119  crossref  mathscinet  zmath
150. A. S. Holevo, “An analogue of statistical decision theory and noncommutative probability theory”, Trudy Moskov. Mat. Obšč., 26, 1972, 133–149  mathnet  mathscinet  zmath
151. A. S. Kholevo, “On estimating functions of the mean”, TVP, 17:3 (1972), 573–577  mathnet  mathscinet  zmath; A. S. Kholevo, “On estimating functions of the mean”, Theory Probab. Appl., 17:3 (1973), 543–547  crossref  mathscinet  zmath
152. A. S. Kholevo, “Some statistical problems for quantum fields”, TVP, 17:2 (1972), 360–365  mathnet  mathscinet  zmath; A. S. Kholevo, “Some statistical problems for quantum fields”, Theory Probab. Appl., 17:2 (1973), 347–351  crossref  mathscinet  zmath
153. A. S. Holevo, “On the Mathematical Theory of Quantum Communication Channels”, Problems Inform. Transmission, 8:1 (1972), 47–54  mathnet  mathscinet  zmath
154. A. S. Holevo, “On quasiequivalence of locally normal states”, Theoret. and Math. Phys., 13:2 (1972), 1071–1082  mathnet  crossref  mathscinet  zmath  adsnasa
155. A. S. Holevo, “Quasifree states of the $C^*$ algebra of CCR. II”, Theoret. and Math. Phys., 6:2 (1971), 103–107  mathnet  crossref  mathscinet  zmath  adsnasa
156. A. S. Holevo, “Quasi-free states on the $C^*$ algebra of CCR”, Theoret. and Math. Phys., 6:1 (1971), 1–12  mathnet  crossref  mathscinet  zmath  adsnasa
157. A. S. Holevo, “On asymptotic normality of estimates of regression coefficients”, Theory Probab. Appl., 16:4 (1971), 707–711  mathnet  crossref  mathscinet  zmath
158. A. S. Holevo, “On asymptotic efficiency of pseudo-best estimators”, Theory Probab. Appl., 16:3 (1971), 516–527  mathnet  crossref  mathscinet  zmath
159. A. S. Holevo, “Almost periodic signal estimations”, Theory Probab. Appl., 16:2 (1971), 249–263  mathnet  crossref  mathscinet  zmath
160. A. S. Holevo, “Quantum Characteristic Functions”, Problems Inform. Transmission, 6:4 (1970), 316–321  mathnet  mathscinet
161. A. S. Holevo, “On estimates of regression coefficients”, Theory Probab. Appl., 4:1 (1969), 79–104  mathnet  crossref  mathscinet  zmath
162. A. S. Holevo, “Estimates of the drift parameters for a diffusion process by the method of stochastic approximation”, Studies in the Theory of Self-adjusting Systems, 12, Vyčisl. Centr Akad. Nauk SSSR, Moscow, 1967, 179–200  mathscinet
163. A. S. Kholevo, “On Sequential Estimates of Parameters”, Theory Probab. Appl., 12:1 (1967), 147–152  mathnet  crossref  mathscinet  zmath
164. A. S. Holevo, “Generalization to spaces with an indefinite metric of a theorem of von Neumann on the operator $T^* T$”, Azerbaĭdžan. Gos. Univ. Učen. Zap. Ser. Fiz.-Mat. Nauk, 1965:2 (1965), 45–48  mathscinet
165. A. S. Holevo, “Automata which predict a random process”, Soviet Physics Dokl., 10 (1965), 816–818  mathscinet  zmath  adsnasa

166. A. S. Holevo, “Statistical inference for quantum systems”, International Encyclopedia of Statistical Science, eds. M. Lovric, Springer, 2011, 1420–1423  crossref
167. A. S. Kholevo, “Kvantovaya teoriya informatsii”, Bolshaya Rossiiskaya entsiklopediya, v. 13, 2009, 451–453
168. A. S. Kholevo, K. A. Valiev, “Kvantovyi kompyuter”, Bolshaya Rossiiskaya entsiklopediya, v. 13, 2009, 472–473
169. A. S. Kholevo, “Kvantovaya informatika: proshloe, nastoyaschee, buduschee”, V mire nauki, 2008, no. 7, 68–75, http://www.sciam.ru/2008/7/inform.shtml  elib
170. A. A. Borovkov, V. A. Vatutin, V. M. Zolotarev, A. M. Zubkov, I. A. Ibragimov, R. I. Ivanovskaya, V. F. Kolchin, V. P. Maslov, Yu. V. Prokhorov, M. V. Khatuntseva, V. I. Khokhlov, A. S. Kholevo, D. M. Chibisov, A. N. Shiryaev, “On the 80th Birthday of B. A. Sevastyanov”, TVP, 48:4 (2003), 785  mathnet  crossref  mathscinet; A. A. Borovkov, V. A. Vatutin, V. M. Zolotarev, A. M. Zubkov, I. A. Ibragimov, R. I. Ivanovskaya, V. F. Kolchin, V. P. Maslov, Yu. V. Prokhorov, M. V. Khatuntseva, V. I. Khokhlov, A. S. Holevo, D. M. Chibisov, A. N. Shiryaev, “On the 80th Birthday of B. A. Sevastyanov”, Theory Probab. Appl., 48:4 (2004), 697–702  crossref  mathscinet  isi
171. A. S. Holevo, “Erratum: “Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory” [Math. Methods Statist. 10 (2001), no. 1, 6–22]”, Math. Methods Statist., 11:1 (2002), 133  mathscinet  zmath
172. M. V. Burnashev, A. S. Holevo, “Letter to the Editor”, Problems Inform. Transmission, 35:1 (1999), 93–94  mathnet  mathscinet  zmath
173. A. S. Kholevo, “International symposium on information theory 1998”, TVP, 43:4 (1998), 823–824  mathnet  crossref; A. S. Holevo, “International symposium on information theory 1998”, Theory Probab. Appl., 43:4 (1999), 685–686  crossref
174. B. M. Gurevich, I. A. Ibragimov, R. A. Minlos, I. A. Ovseevich, V. I. Oseledets, M. S. Pinsker, V. V. Prelov, Yu. V. Prokhorov, Ya. G. Sinai, A. S. Kholevo, A. N. Shiryaev, “Roland Lvovich Dobrushin (20.VII.1929–12.XI.1995)”, TVP, 41:1 (1996), 164–169  mathnet  crossref  mathscinet; B. M. Gurevich, I. A. Ibragimov, R. A. Minlos, I. A. Ovseevich, V. I. Oseledets, M. S. Pinsker, V. V. Prelov, Yu. V. Prokhorov, Ya. G. Sinai, A. S. Holevo, A. N. Shiryaev, “Roland L'vovich Dobrushin (20 July 1919 – 12 November 1995)”, Theory Probab. Appl., 41:1 (1997), 132–136  crossref  mathscinet  isi
175. N. S. Bakhvalov, A. A. Borovkov, R. L. Dobrushin, A. V. Zabrodin, V. M. Zolotarev, I. A. Ibragimov, Yu. V. Prokhorov, B. A. Sevast'yanov, Ya. G. Sinai, A. V. Skorokhod, V. A. Statulyavichus, R. Z. Khas'minskii, A. S. Kholevo, D. M. Chibisov, A. N. Shiryaev, “Memorial: Nikolai Nikolaevitch Chentsov”, Theory Probab. Appl., 38:3 (1993), 506–515  mathnet  crossref  mathscinet  zmath  isi
176. V. I. Arnol'd, N. S. Bakhvalov, K. V. Brushlinskii, I. M. Gel'fand, R. L. Dobrushin, A. V. Zabrodin, I. A. Ibragimov, S. P. Kurdyumov, S. P. Novikov, D. E. Okhotsimskii, Yu. V. Prokhorov, Yu. B. Radvogin, Ya. G. Sinai, R. Z. Khas'minskii, A. S. Holevo, A. N. Shiryaev, T. M. Eneev, “Nikolai Nikolaevich Chentsov (obituary)”, Russian Math. Surveys, 48:2 (1993), 161–166  mathnet  crossref  mathscinet  adsnasa  isi
177. A. A. Novikov, A. S. Kholevo, “The Twelfth All-Union Seminar on Probability Theory and Mathematical Statistics”, TVP, 23:4 (1978), 886  mathnet; A. A. Novikov, A. S. Holevo, “The Twelfth All-Union Seminar on Probability Theory and Mathematical Statistics”, Theory Probab. Appl., 23:4 (1979), 853  crossref

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Books in Math-Net.Ru
  1. A. S. Holevo, Investigations in the general theory of statistical decisions, Trudy Mat. Inst. Steklov., 124, ed. S. M. Nikol'skii, 1976, 141 с.
    http://mi.mathnet.ru/book1300

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