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Holevo Alexander Semenovich

Statistics Math-Net.Ru
Total publications: 179
Scientific articles: 166
Citations to the author: 546
Cited articles: 49
Presentations: 25

Number of views:
This page:4898
Abstract pages:13885
Full texts:3242
References:308
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  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. V. Giovannetti, R. Garcia-Patron, N. J. Cerf, A. S. Holevo, “Ultimate classical communication rates of quantum optical channels”, Nature Photonics, 2014, 216, 6 pp.  crossref
7. A. S. Kholevo, “Quantum Gaussian optimizer problem.”, New Horizons in Statistical Decision Theory (Oberwolfach, 7-13 September 2014), Oberwolfach Reports, 41/2014, Mathematisches Forschungsinstitut Oberwolfach, 2014, 28-31  crossref
8. 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
9. 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  scopus
10. A. S. Holevo, “Extreme bosonic linear channels”, Theoret. and Math. Phys., 174:2 (2013), 288–297  mathnet  mathnet  crossref  crossref  adsnasa  isi  elib  elib  scopus
11. 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
12. 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
13. A. A. Kuznetsova, A. S. Kholevo, “Coding Theorems for Hybrid Channels”, TVP, 58:2 (2013), 298–324  mathnet  crossref  zmath  elib; A. A. Kuznetsova, A. S. Holevo, “Coding Theorems for Hybrid Channels”, Theory Probab. Appl., 58:2 (2014), 264–285  crossref  zmath  isi
14. V. Giovannetti, A. S. Holevo, R. Garcia-Patron, A solution of the Gaussian optimizer conjecture, 2013, arXiv: 1312.2251  adsnasa
15. A. S. Holevo, V. Giovannetti, “Quantum channels and their entropic characteristics”, Rep. Prog. Phys., 75 (2012), 046001, 45 pp.  crossref  mathscinet  isi  elib  scopus
16. A. S. Holevo, “Information capacity of a quantum observable”, Problems Inform. Transmission, 48:1 (2012), 1–10  mathnet  mathnet  crossref  isi  elib  scopus
17. 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  scopus
18. 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
19. 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  scopus
20. A. S. Holevo, “The Choi-Jamiolkowski forms of quantum Gaussian channels”, J. Math. Phys., 52 (2011), 042202, 12 pp.  crossref  mathscinet  adsnasa  isi  elib  scopus
21. 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
22. A. S. Holevo, “The entropy gain of quantum channels”, IEEE International Symposium on Information Theory (ISIT) (Jule 31 – August 05, 2011, St. Petersburg, Russia), 2011, 289–292  isi
23. A. S. Kholevo, Kvantovye sistemy, kanaly, informatsiya, MTsNMO, M., 2010, ISBN: 978-5-94057-574-0, 328 pp.
24. 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
25. A. S. Holevo, “The entropy gain of infinite-dimensional quantum evolutions”, Dokl. Math., 82:2 (2010), 730–731  crossref  mathscinet  zmath  isi  elib  elib  scopus
26. A. S. Kholevo, “Kvantovaya teoriya informatsii. Kanaly i propusknye sposobnosti”, Informatsionnye tekhnologii i vychislitelnye sistemy, 3 (2010), 39–46  elib
27. 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
28. 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  scopus
29. 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
30. 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  scopus
31. 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
32. A. S. Holevo, V. Giovannetti, “Quantum shared broadcasting”, Quantum Inf. Process., 7:2-3 (2008), 55–69  crossref  mathscinet  zmath  isi  elib
33. A. S. Holevo, “Entanglement-Breaking Channels in Infinite Dimensions”, Problems Inform. Transmission, 44:3 (2008), 171–184  mathnet  crossref  mathscinet  zmath  isi  elib  elib
34. 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
35. 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
36. 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
37. 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
38. 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
39. 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
40. 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
41. A. S. Holevo, “Locating a photon:position observables and an uncertainty relation”, Russian Microelectronics, 35:1 (2006), 21–30  elib
42. 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
43. A. S. Holevo, “Quantum channels: classical capacity”, Encyclopedia of Mathematical Physics, Academic Press, 2006, 142–144
44. 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
45. 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
46. 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
47. A. S. Holevo, “The additivity problem and constrained quantum channels”, Proc. Int. Soc. Opt. Eng., 5833 (2005), 196-201  elib
48. A. S. Holevo, “Additivity conjecture and covariant channels”, Int. J. Quant., 3:1 (2005), 41-48  crossref  isi  elib
49. 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
50. 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
51. 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
52. 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
53. A. S. Kholevo, Veroyatnostnye i statisticheskie aspekty kvantovoi teorii, 2-e izd., Institut kompyuternykh issledovanii, Moskva–Izhevsk, 2003, ISBN: 5939722547, 410 pp.
54. A. S. Kholevo, Statisticheskaya struktura kvantovoi teorii, Institut kompyuternykh issledovanii, Izhevsk, 2003
55. 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
56. 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
57. A. S. Holevo, “On states, channels, and purification”, Quantum Inf. Process., 1:1-2 (2002), 1–4  crossref  mathscinet  isi
58. 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
59. 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
60. A. S. Kholevo, Vvedenie v kvantovuyu teoriyu informatsii, MTsNMO, M., 2002, ISBN: 5-94057-017-8, 128 pp.
61. 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
62. 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
63. 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
64. 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
65. A. S. Holevo, “An invitation to quantum estimation”, Math. Methods Statist., 10:1 (2001), 1–5  mathscinet  zmath
66. A. S. Holevo, “Lévy processes and continuous quantum measurements”, Lévy processes, Birkhäuser Boston, Boston, MA, 2001, 225–239  mathscinet  zmath
67. A. S. Holevo, R. F. Werner, “Evaluating capacities of Bosonic Gaussian channels”, Phys. Rev. A, 63 (2001), 032312, 13 pp.  crossref  adsnasa  isi
68. 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
69. A. S. Holevo, “Reliability function of general classical-quantum channel”, IEEE Trans. Inform. Theory, 46:6 (2000), 2256–2261  crossref  mathscinet  zmath  isi  elib
70. 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
71. 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
72. 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
73. 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
74. 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
75. A. S. Holevo, “Radon-Nikodým derivatives of quantum instruments”, J. Math. Phys., 39:3 (1998), 1373–1387  crossref  mathscinet  zmath  adsnasa  isi  elib
76. 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
77. A. S. Holevo, “Quantum coding theorems”, Russian Math. Surveys, 53:6 (1998), 1295–1331  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
78. 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
79. M. V. Burnashev, A. S. Holevo, On reliability function of quantum communication channel, 1997, 8 pp., arXiv: quant-ph/9703013
80. 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
81. 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
82. 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
83. A. S. Holevo, “Exponential formulae in quantum stochastic calculus”, Proc. Roy. Soc. Edinburgh Sect. A, 126:2 (1996), 375–389  crossref  mathscinet  zmath  elib
84. 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
85. A. S. Holevo, “Covariant quantum Markovian evolutions”, J. Math. Phys., 37:4 (1996), 1812–1832  crossref  mathscinet  zmath  adsnasa  isi
86. 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
87. 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
88. 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
89. A. S. Holevo, “On the structure of covariant dynamical semigroups”, J. Funct. Anal., 131:2 (1995), 255–278  crossref  mathscinet  zmath  isi
90. A. S. Holevo, “On translation-covariant quantum Markov equations”, Izv. Math., 59:2 (1995), 427–443  mathnet  crossref  mathscinet  zmath  isi
91. A. S. Holevo, “Excessive maps, “arrival times” and perturbation of dynamical semigroups”, Izv. Math., 59:6 (1995), 1311–1325  mathnet  crossref  mathscinet  zmath  isi
92. A. S. Holevo, “A note on covariant dynamical semigroups”, Rep. Math. Phys., 32:2 (1993), 211–216  crossref  mathscinet  zmath  adsnasa  elib
93. 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
94. A. S. Kholevo, “Structure of covariant dynamical semigroups”, Russian Acad. Sci. Dokl. Math., 47:1 (1993), 161–167  mathnet  mathscinet  zmath
95. 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
96. A. S. Kholevo, “On the Lévy–Khinchin formula in noncommutative probability theory”, Theory Probab. Appl., 38:4 (1993), 660–672  mathnet  crossref  mathscinet  zmath
97. 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
98. 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
99. 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
100. 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
101. 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
102. 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
103. 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
104. 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
105. 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
106. 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
107. 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
108. 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
109. 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
110. A. S. Holevo, “Lévy–Khintchine Representation in Quantum Theory of Probability”, Theory Probab. Appl., 32:1 (1987), 131–136  mathnet  crossref  mathscinet  zmath  isi
111. A. S. Holevo, “Quantum estimation”, Adv. Statist. Signal Proc., v. 1, JAI Press Inc., 1987, 157–202
112. 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
113. 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
114. 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
115. 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
116. A. S. Holevo, “On the principle of quantum nondemolition measurements”, Theoret. and Math. Phys., 65:3 (1985), 1250–1255  mathnet  crossref  mathscinet  adsnasa  isi
117. 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
118. 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
119. 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
120. A. S. Holevo, “Generalized imprimitivity systems for abelian groups”, Soviet Math. (Iz. VUZ), 27:2 (1983), 53–80  mathnet  mathscinet  zmath
121. 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
122. A. S. Holevo, “Testing statistical hypotheses in quantum theory”, Probab. Math. Statist., 3:1 (1982), 113–126 (1983)  mathscinet  zmath
123. 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
124. 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
125. H. A. Bogomolov, A. S. Kholevo, “Razlozheniya edinitsy, kovariantnye otnositelno predstavleniya abelevoi lokalno kompaktnoi gruppy”, Tr. NIVTs MGU, M., 1981, 45–59
126. A. S. Holevo, Probabilistic and statistical aspects of quantum theory, Nauka, Moscow, 1980, 320 pp.  mathscinet  zmath
127. A. S. Holevo, “Covariant measurements and uncertainty relations”, Rep. Math. Phys., 16:3 (1979), 385–400  crossref  mathscinet  zmath  adsnasa  elib
128. A. S. Holevo, “On Capacity of a Quantum Communications Channel”, Problems Inform. Transmission, 15:4 (1979), 247–253  mathnet  mathscinet  zmath
129. A. S. Holevo, “Estimation of shift parameters of a quantum state”, Rep. Math. Phys., 13:3 (1978), 379–399  crossref  mathscinet  zmath  adsnasa
130. 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  isi
131. 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  isi
132. 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
133. 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
134. 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
135. 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
136. A. S. Kholevo, “Optimalnoe izmerenie amplitud kompleksnykh signalov na fone kvantovogo shuma”, Trudy 4-go Mezhdunarodnogo simpoziuma po teorii informatsii, Leningrad, 1976
137. 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
138. 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
139. A. S. Holevo, “Some statistical problems for quantum Gaussian states”, IEEE Trans. Information Theory, IT-21:5 (1975), 533–543  crossref  mathscinet  zmath  isi
140. 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
141. A. S. Kholevo, “The theory of statistical decisions on an operator algebra”, Sov. Math. Dokl., 15 (1974), 1276–1281 (1975)  mathscinet  zmath
142. A. S. Kholevo, “Optimal measurement of the mean value of a Gaussian state”, Engrg. Cybernetics, 12:5 (1974), 128–130  mathscinet
143. A. S. Holevo, “Remarks on Optimal Quantum Measurements”, Problems Inform. Transmission, 10:4 (1974), 317–320  mathnet  mathscinet  zmath
144. A. S. Holevo, “On the general problem of mean estimation”, J. Multivariate Anal., 3 (1973), 262–275  crossref  mathscinet  zmath  elib
145. A. S. Holevo, “Statistical decision theory for quantum systems”, J. Multivariate Anal., 3 (1973), 337–394  crossref  mathscinet  zmath  elib
146. A. S. Holevo, “A Generalization of the Rao–Cramér Inequality”, Theory Probab. Appl., 18:2 (1973), 359–362  mathnet  crossref  mathscinet  zmath
147. A. S. Holevo, “Information-Theoretical Aspects of Quantum Measurement”, Problems Inform. Transmission, 9:2 (1973), 110–118  mathnet  mathscinet  zmath
148. 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
149. A. S. Holevo, “Optimal quantum measurements”, Theoret. and Math. Phys., 17:3 (1973), 1172–1177  mathnet  crossref  mathscinet  zmath  adsnasa
150. 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
151. 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
152. A. S. Holevo, “An analogue of statistical decision theory and noncommutative probability theory”, Trudy Moskov. Mat. Obšč., 26, 1972, 133–149  mathnet  mathscinet  zmath
153. 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
154. 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
155. A. S. Holevo, “On the Mathematical Theory of Quantum Communication Channels”, Problems Inform. Transmission, 8:1 (1972), 47–54  mathnet  mathscinet  zmath
156. A. S. Holevo, “On quasiequivalence of locally normal states”, Theoret. and Math. Phys., 13:2 (1972), 1071–1082  mathnet  crossref  mathscinet  zmath  adsnasa
157. 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
158. 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
159. A. S. Holevo, “On asymptotic normality of estimates of regression coefficients”, Theory Probab. Appl., 16:4 (1971), 707–711  mathnet  crossref  mathscinet  zmath
160. A. S. Holevo, “On asymptotic efficiency of pseudo-best estimators”, Theory Probab. Appl., 16:3 (1971), 516–527  mathnet  crossref  mathscinet  zmath
161. A. S. Holevo, “Almost periodic signal estimations”, Theory Probab. Appl., 16:2 (1971), 249–263  mathnet  crossref  mathscinet  zmath
162. A. S. Holevo, “Quantum Characteristic Functions”, Problems Inform. Transmission, 6:4 (1970), 316–321  mathnet  mathscinet
163. A. S. Holevo, “On estimates of regression coefficients”, Theory Probab. Appl., 4:1 (1969), 79–104  mathnet  crossref  mathscinet  zmath
164. 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
165. A. S. Kholevo, “On Sequential Estimates of Parameters”, Theory Probab. Appl., 12:1 (1967), 147–152  mathnet  crossref  mathscinet  zmath
166. 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
167. A. S. Holevo, “Automata which predict a random process”, Soviet Physics Dokl., 10 (1965), 816–818  mathscinet  zmath  adsnasa

168. A. S. Holevo, “Statistical inference for quantum systems”, International Encyclopedia of Statistical Science, eds. M. Lovric, Springer, 2011, 1420–1423  crossref
169. A. S. Kholevo, “Kvantovaya teoriya informatsii”, Bolshaya Rossiiskaya entsiklopediya, v. 13, 2009, 451–453
170. A. S. Kholevo, K. A. Valiev, “Kvantovyi kompyuter”, Bolshaya Rossiiskaya entsiklopediya, v. 13, 2009, 472–473
171. 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
172. 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
173. 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
174. M. V. Burnashev, A. S. Holevo, “Letter to the Editor”, Problems Inform. Transmission, 35:1 (1999), 93–94  mathnet  mathscinet  zmath
175. 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
176. 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
177. 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
178. 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
179. 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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