Persons: Holevo Alexander Semenovich

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Holevo Alexander Semenovich

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Total publications:	183
Scientific articles:	170
Citations to the author:	557
Cited articles:	49
Presentations:	32

Number of views:
This page:	5240
Abstract pages:	14754
Full texts:	3612
References:	467

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:

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

http://www.mathnet.ru/eng/person8777

http://scholar.google.com/citations?user=4SnPOK0AAAAJ&hl=en

http://zbmath.org/authors/?q=ai:holevo.alexander-s|kholevo.a-s

http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=189303

http://elibrary.ru/author_items.asp?authorid=116

https://www.researchgate.net/profile/Alexander_Holevo

Full list of publications:


1.	V. Giovannetti, A. S. Holevo, R. García-Patrón, “A solution of Gaussian optimizer conjecture for quantum channels”, Comm. Math. Phys., 334:3 (2015), 1553–1571
2.	A. S. Holevo, Gaussian optimizers and the additivity problem in quantum information theory, 2015, arXiv: 1501.00652
3.	G. De Palma, A. Mari, V. Giovannetti, A. S. Holevo, Normal form decomposition for Gaussian-to-Gaussian superoperators, 2015, arXiv: 1502.01870
4.	V. Giovannetti, A. S. Holevo, A. Mari, “Majorization and additivity for multimode bosonic Gaussian channels”, Theoret. and Math. Phys., 182:2 (2015), 284–293
5.	Y. I. Bogdanov, B. I. Bantysh, V. F. Lukichev, A. A. Orlikovsky, A. S. Holevo, “Entanglement dynamics in quantum operations using superconducting phase qubits”, Bulletin of the Russian Academy of Sciences: Physics, 78:1 (2014), 1–5
6.	A. S. Holevo, “Gaussian classical-quantum channels: gain from entanglement-assistance”, Problems Inform. Transmission, 50:1 (2014), 1–14
7.	A. A. Kuznetsova, A. S. Kholevo, “Teoremy kodirovaniya dlya gibridnykh kanalov. II”, TVP, 59:1 (2014), 168–178
8.	A. Mari, V. Giovannetti, A. S. Holevo, “Quantum state majorization at the output of bosonic Gaussian channels”, Nature Communications, 5 (2014), 3826, 5 pp.
9.	V. Giovannetti, R. Garcia-Patron, N. J. Cerf, A. S. Holevo, “Ultimate classical communication rates of quantum optical channels”, Nature Photonics, 8:10 (2014), 216, 6 pp.
10.	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
11.	A. S. Holevo, On the constrained classical capacity of infinite-dimensional covariant channels, 2014, arXiv: 1409.8085
12.	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)
13.	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.
14.	A. S. Holevo, “Extreme bosonic linear channels”, Theoret. and Math. Phys., 174:2 (2013), 288–297
15.	A. S. Holevo, M. E. Shirokov, “On classical capacities of infinite-dimensional quantum channels”, Problems Inform. Transmission, 49:1 (2013), 15–31
16.	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
17.	A. A. Kuznetsova, A. S. Kholevo, “Coding Theorems for Hybrid Channels”, TVP, 58:2 (2013), 298–324 ; A. A. Kuznetsova, A. S. Holevo, “Coding Theorems for Hybrid Channels”, Theory Probab. Appl., 58:2 (2014), 264–285
18.	V. Giovannetti, A. S. Holevo, R. Garcia-Patron, A solution of the Gaussian optimizer conjecture, 2013, Newton Institute preprint NI13068-MQI, arXiv: 1312.2251
19.	A. S. Holevo, V. Giovannetti, “Quantum channels and their entropic characteristics”, Rep. Prog. Phys., 75 (2012), 046001, 45 pp.
20.	A. S. Holevo, “Information capacity of a quantum observable”, Problems Inform. Transmission, 48:1 (2012), 1–10
21.	A. S. Holevo, “Entropy gain and the Choi–Jamiolkowski correspondence for infinite-dimensional quantum evolutions”, Theoret. and Math. Phys., 166:1 (2011), 123–138
22.	A. S. Holevo, Probabilistic and statistical aspects of quantum theory, 2nd edition, Edizioni della Normale, Pisa, 2011, ISBN: 978-88-7642-375-8
23.	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.
24.	A. S. Holevo, “The Choi-Jamiolkowski forms of quantum Gaussian channels”, J. Math. Phys., 52 (2011), 042202, 12 pp.
25.	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
26.	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
27.	A. S. Kholevo, Kvantovye sistemy, kanaly, informatsiya, MTsNMO, M., 2010, ISBN: 978-5-94057-574-0, 328 pp.
28.	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
29.	A. S. Holevo, “The entropy gain of infinite-dimensional quantum evolutions”, Dokl. Math., 82:2 (2010), 730–731
30.	A. S. Kholevo, “Kvantovaya teoriya informatsii. Kanaly i propusknye sposobnosti”, Informatsionnye tekhnologii i vychislitelnye sistemy, 3 (2010), 39–46
31.	A. S. Holevo, M. E. Shirokov, “Mutual and coherent information for infinite-dimensional quantum channels”, Problems Inform. Transmission, 46:3 (2010), 201–218
32.	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.
33.	T. Heinosaari, A. S. Holevo, M. M. Wolf, “The semigroup structure of Gaussian channels”, Quantum Inf. Comput., 10:7-8 (2010), 619–635
34.	A. S. Holevo, J.-P. Pellonpää, “Extreme Covariant Observables for Type I Symmetry Groups”, Found. Phys., 39:6 (2009), 625–641
35.	F. Caruso, J. Eisert, V. Giovannetti, A. S. Holevo, “Multi-mode bosonic Gaussian channels”, New J. Phys., 10 (2008), 083030, 33 pp.
36.	A. S. Holevo, V. Giovannetti, “Quantum shared broadcasting”, Quantum Inf. Process., 7:2-3 (2008), 55–69
37.	A. S. Holevo, “Entanglement-Breaking Channels in Infinite Dimensions”, Problems Inform. Transmission, 44:3 (2008), 171–184
38.	M. E. Shirokov, A. S. Holevo, “On Approximation of Infinite-Dimensional Quantum Channels”, Problems Inform. Transmission, 44:2 (2008), 73–90
39.	A. S. Holevo, “Single-Mode Quantum Gaussian Channels: Structure and Quantum Capacity”, Problems Inform. Transmission, 43:1 (2007), 1–11
40.	A. S. Holevo, “The additivity problem in quantum information theory”, International Congress of Mathematicians, Vol. III, Eur. Math. Soc., Zürich, 2006, 999–1018
41.	N. Datta, M. Fukuda, A. S. Holevo, “Complementarity and additivity for covariant channels”, Quantum Inf. Process., 5:3 (2006), 179–207
42.	F. Caruso, V. Giovannetti, A. S. Holevo, “One-mode Bosonic Gaussian channels: a full weak-degradability classification”, New Journal of Physics, 8 (2006), 310
43.	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
44.	A. S. Kholevo, “Complementary channels and the additivity problem”, TVP, 51:1 (2006), 133–143 ; A. S. Holevo, “Complementary channels and the additivity problem”, Theory Probab. Appl., 51:1 (2007), 92–100
45.	A. S. Holevo, “Locating a photon:position observables and an uncertainty relation”, Russian Microelectronics, 35:1 (2006), 21–30
46.	N. Datta, A. S. Holevo, Yu. M. Suhov, “Additivity for transpose depolarizing channels”, Int. J. Quant. Inform.,, 4:1 (2006), 85–98
47.	A. S. Holevo, “Quantum channels: classical capacity”, Encyclopedia of Mathematical Physics, Academic Press, 2006, 142–144
48.	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
49.	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
50.	A. S. Holevo, M. E. Shirokov, “Continuous ensembles and the capacity of infinite-dimensional quantum channels”, Theory Probab. Appl., 50:1 (2005), 86–98
51.	A. S. Holevo, “The additivity problem and constrained quantum channels”, Proc. Int. Soc. Opt. Eng., 5833 (2005), 196-201
52.	A. S. Holevo, “Additivity conjecture and covariant channels”, Int. J. Quant., 3:1 (2005), 41-48
53.	A. S. Holevo, M. E. Shirokov, “On Shor's channel extension and constrained channels”, Comm. Math. Phys., 249:2 (2004), 417–430
54.	A. S. Holevo, M. E. Shirokov, “The additivity problem for constrained quantum channels”, Russian Math. Surveys, 59:2 (2004), 385–387
55.	A. S. Kholevo, “Asymptotic estimation of a shift parameter of a quantum state”, TVP, 49:2 (2004), 335–350 ; A. S. Holevo, “Asymptotic estimation of a shift parameter of a quantum state”, Theory Probab. Appl., 49:2 (2005), 207–220
56.	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
57.	A. S. Kholevo, Veroyatnostnye i statisticheskie aspekty kvantovoi teorii, 2-e izd., Institut kompyuternykh issledovanii, Moskva–Izhevsk, 2003, ISBN: 5939722547, 410 pp.
58.	A. S. Kholevo, Statisticheskaya struktura kvantovoi teorii, Institut kompyuternykh issledovanii, Izhevsk, 2003
59.	A. S. Kholevo, “Entanglement-assisted capacities of constrained quantum channels”, TVP, 48:2 (2003), 359–374 ; A. S. Holevo, “Entanglement-assisted capacities of constrained quantum channels”, Theory Probab. Appl., 48:2 (2004), 243–255
60.	A. S. Holevo, “Optimal receiver of a binary coherent signals based on the principle of optical feedback”, Laser Physics, 13:12 (2003), 1558–1561
61.	A. S. Holevo, “On states, channels, and purification”, Quantum Inf. Process., 1:1-2 (2002), 1–4
62.	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
63.	A. S. Holevo, “On entanglement-assisted classical capacity”, Quantum information theory, J. Math. Phys., 43, no. 9, 2002, 4326–4333
64.	A. S. Kholevo, Vvedenie v kvantovuyu teoriyu informatsii, MTsNMO, M., 2002, ISBN: 5-94057-017-8, 128 pp.
65.	G. G. Amosov, A. S. Kholevo, “On the multiplicativity hypothesis for quantum communication channels”, TVP, 47:1 (2002), 143–146 ; G. G. Amosov, A. S. Holevo, “On the multiplicativity hypothesis for quantum communication channels”, Theory Probab. Appl., 47:1 (2003), 123–127
66.	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.
67.	A. S. Holevo, “Coding theorems of quantum information theory”, XIIIth International Congress on Mathematical Physics (London, 2000), Int. Press, Boston, MA, 2001, 415–422
68.	A. S. Holevo, “Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory”, Math. Methods Statist., 10:1 (2001), 6–22
69.	A. S. Holevo, “An invitation to quantum estimation”, Math. Methods Statist., 10:1 (2001), 1–5
70.	A. S. Holevo, “Lévy processes and continuous quantum measurements”, Lévy processes, Birkhäuser Boston, Boston, MA, 2001, 225–239
71.	A. S. Holevo, R. F. Werner, “Evaluating capacities of Bosonic Gaussian channels”, Phys. Rev. A, 63 (2001), 032312, 13 pp.
72.	A. S. Holevo, M. Sohma, O. Hirota, “Error exponents for quantum channels with constrained inputs”, Rep. Math. Phys., 46:3 (2000), 343–358
73.	A. S. Holevo, “Reliability function of general classical-quantum channel”, IEEE Trans. Inform. Theory, 46:6 (2000), 2256–2261
74.	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
75.	A. S. Holevo, M. Sohma, O. Hirota, “The capacity of quantum Gaussian channels”, Phys. Rev. A, 59:3 (1999), 1820–1828
76.	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
77.	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
78.	A. S. Holevo, “Covariant quantum dynamical semigroups: unbounded generators”, Irreversibility and causality (Goslar, 1996), Lecture Notes in Phys., 504, Springer, Berlin, 1998, 67–81
79.	A. S. Holevo, “Radon-Nikodým derivatives of quantum instruments”, J. Math. Phys., 39:3 (1998), 1373–1387
80.	A. S. Holevo, “The capacity of the quantum channel with general signal states”, IEEE Trans. Inform. Theory, 44:1 (1998), 269–273
81.	A. S. Holevo, “Quantum coding theorems”, Russian Math. Surveys, 53:6 (1998), 1295–1331
82.	M. V. Burnashev, A. S. Holevo, “On the Reliability Function for a Quantum Communication Channel”, Problems Inform. Transmission, 34:2 (1998), 97–107
83.	M. V. Burnashev, A. S. Holevo, On reliability function of quantum communication channel, 1997, 8 pp., arXiv: quant-ph/9703013
84.	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
85.	A. S. Holevo, “The structure of classical noise”, Analysis, geometry and probability, Texts Read. Math., 10, Hindustan Book Agency, Delhi, 1996, 73–86
86.	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
87.	A. S. Holevo, “Exponential formulae in quantum stochastic calculus”, Proc. Roy. Soc. Edinburgh Sect. A, 126:2 (1996), 375–389
88.	A. S. Holevo, “On dissipative stochastic equations in a Hilbert space”, Probab. Theory Related Fields, 104:4 (1996), 483–500
89.	A. S. Holevo, “Covariant quantum Markovian evolutions”, J. Math. Phys., 37:4 (1996), 1812–1832
90.	A. S. Holevo, “There exists a non-standard dynamical semigroup on $\mathfrak L(\mathscr H)$”, Russian Math. Surveys, 51:6 (1996), 1206–1207
91.	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 $http://adsabs.harvard.edu/cgi-bin/bib_query?{http://adsabs.harvard.edu/cgi-bin/bib_query?1996PhRvA..53.1273S$
92.	A. Barchielli, A. S. Holevo, “Constructing quantum measurement processes via classical stochastic calculus”, Stochastic Process. Appl., 58:2 (1995), 293–317
93.	A. S. Holevo, “On the structure of covariant dynamical semigroups”, J. Funct. Anal., 131:2 (1995), 255–278
94.	A. S. Holevo, “On translation-covariant quantum Markov equations”, Izv. Math., 59:2 (1995), 427–443
95.	A. S. Holevo, “Excessive maps, “arrival times” and perturbation of dynamical semigroups”, Izv. Math., 59:6 (1995), 1311–1325
96.	A. S. Holevo, “A note on covariant dynamical semigroups”, Rep. Math. Phys., 32:2 (1993), 211–216
97.	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
98.	A. S. Kholevo, “Structure of covariant dynamical semigroups”, Russian Acad. Sci. Dokl. Math., 47:1 (1993), 161–167
99.	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
100.	A. S. Kholevo, “On the Lévy–Khinchin formula in noncommutative probability theory”, Theory Probab. Appl., 38:4 (1993), 660–672
101.	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
102.	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
103.	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
104.	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
105.	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
106.	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
107.	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
108.	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 ; A. S. Holevo, “Conditionally positive-definite functions in quantum probability theory”, J. Soviet Math., 56:5 (1991), 2670–2697
109.	A. S. Kholevo, “A quantum stochastic calculus”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Nov. dostizh., 36, VINITI, M., 1989, 3–28 ; A. S. Holevo, “A quantum stochastic calculus”, J. Soviet Math., 56:5 (1991), 2609–2624
110.	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 ; A. S. Holevo, “Stochastic representations of quantum dynamical semi-groups”, Proc. Steklov Inst. Math., 191 (1992), 145–154
111.	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.
112.	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
113.	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
114.	A. S. Holevo, “Lévy–Khintchine Representation in Quantum Theory of Probability”, Theory Probab. Appl., 32:1 (1987), 131–136
115.	A. S. Holevo, “Quantum estimation”, Adv. Statist. Signal Proc., v. 1, JAI Press Inc., 1987, 157–202
116.	A. S. Kholevo, “On a generalization of canonical quantization”, Izv. AN SSSR. Ser. matem., 50:1 (1986), 181–194 ; A. S. Kholevo, “On a generalization of canonical quantization”, Math. USSR-Izv., 28:1 (1987), 175–188
117.	A. S. Kholevo, “Infinite-divisible instruments in quantum probability theory”, TVP, 31:3 (1986), 560–564 ; A. S. Holevo, “Infinite-divisible instruments in quantum probability theory”, Theory Probab. Appl., 31:3 (1987), 493–497
118.	A. S. Holevo, “Statistical definition of observable and the structure of statistical models”, Rep. Math. Phys., 22:3 (1985), 385–407
119.	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.
120.	A. S. Holevo, “On the principle of quantum nondemolition measurements”, Theoret. and Math. Phys., 65:3 (1985), 1250–1255
121.	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
122.	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
123.	N. A. Bogomolov, A. S. Kholevo, “A characterization of the covariant resolutions of the identity”, Funct. Anal. Appl., 17:2 (1983), 131–132
124.	A. S. Holevo, “Generalized imprimitivity systems for abelian groups”, Soviet Math. (Iz. VUZ), 27:2 (1983), 53–80
125.	A. S. Holevo, “On measurements of the parameters of a quantum random process”, Theoret. and Math. Phys., 57:3 (1983), 1238–1247
126.	A. S. Holevo, “Testing statistical hypotheses in quantum theory”, Probab. Math. Statist., 3:1 (1982), 113–126 (1983)
127.	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.
128.	A. S. Holevo, “Quantum-probabilistic investigation of the statistics of readings, using a “Dolinar device””, Soviet Math. (Iz. VUZ), 26:8 (1982), 1–20
129.	H. A. Bogomolov, A. S. Kholevo, “Razlozheniya edinitsy, kovariantnye otnositelno predstavleniya abelevoi lokalno kompaktnoi gruppy”, Tr. NIVTs MGU, M., 1981, 45–59
130.	A. S. Holevo, Probabilistic and statistical aspects of quantum theory, Nauka, Moscow, 1980, 320 pp.
131.	A. S. Holevo, “Covariant measurements and uncertainty relations”, Rep. Math. Phys., 16:3 (1979), 385–400
132.	A. S. Holevo, “On Capacity of a Quantum Communications Channel”, Problems Inform. Transmission, 15:4 (1979), 247–253
133.	A. S. Holevo, “Estimation of shift parameters of a quantum state”, Rep. Math. Phys., 13:3 (1978), 379–399
134.	N. P. Rasulov, A. S. Kholevo, “A regression problem for continuous time series”, TVP, 23:4 (1978), 762–771 ; N. P. Rasulov, A. S. Holevo, “A regression problem for continuous time series”, Theory Probab. Appl., 22:4 (1979), 731–740
135.	A. S. Kholevo, “On asymptotically optimal hypotheses testing in quantum statistics”, TVP, 23:2 (1978), 429–432 ; A. S. Holevo, “On asymptotically optimal hypotheses testing in quantum statistics”, Theory Probab. Appl., 23:2 (1979), 411–415
136.	A. S. Holevo, “Commutation superoperator of a state and its applications to the noncommutative statistics”, Rep. Mathematical Phys., 12:2 (1977), 251–271
137.	A. S. Holevo, “Problems in the mathematical theory of quantum communication channels”, Rep. Mathematical Phys., 12:2 (1977), 273–278
138.	A. S. Kholevo, “Investigations in the general theory of statistical decisions”, Tr. MIAN SSSR, 124, 1976, 3–140, 141 pp. ; A. S. Kholevo, “Investigations in the general theory of statistical decisions”, Proc. Steklov Inst. Math., 124 (1978), 1–140
139.	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
140.	A. S. Kholevo, “Optimalnoe izmerenie amplitud kompleksnykh signalov na fone kvantovogo shuma”, Trudy 4-go Mezhdunarodnogo simpoziuma po teorii informatsii, Leningrad, 1976
141.	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 ; 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
142.	A. S. Holevo, “On a vector-valued integral in the “noncommutative” statistical decision theory”, J. Multivariate Anal., 5:4 (1975), 462–465
143.	A. S. Holevo, “Some statistical problems for quantum Gaussian states”, IEEE Trans. Information Theory, IT-21:5 (1975), 533–543
144.	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
145.	A. S. Kholevo, “The theory of statistical decisions on an operator algebra”, Sov. Math. Dokl., 15 (1974), 1276–1281 (1975)
146.	A. S. Kholevo, “Optimal measurement of the mean value of a Gaussian state”, Engrg. Cybernetics, 12:5 (1974), 128–130
147.	A. S. Holevo, “Remarks on Optimal Quantum Measurements”, Problems Inform. Transmission, 10:4 (1974), 317–320
148.	A. S. Holevo, “On the general problem of mean estimation”, J. Multivariate Anal., 3 (1973), 262–275
149.	A. S. Holevo, “Statistical decision theory for quantum systems”, J. Multivariate Anal., 3 (1973), 337–394
150.	A. S. Holevo, “A Generalization of the Rao–Cramér Inequality”, Theory Probab. Appl., 18:2 (1973), 359–362
151.	A. S. Holevo, “Information-Theoretical Aspects of Quantum Measurement”, Problems Inform. Transmission, 9:2 (1973), 110–118
152.	A. S. Holevo, “Bounds for the Quantity of Information Transmitted by a Quantum Communication Channel”, Problems Inform. Transmission, 9:3 (1973), 177–183
153.	A. S. Holevo, “Optimal quantum measurements”, Theoret. and Math. Phys., 17:3 (1973), 1172–1177
154.	A. S. Holevo, “On the quasiequivalence of quasifree states on the $C^*$-algebra of CAR”, Theoret. and Math. Phys., 14:2 (1973), 107–111
155.	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
156.	A. S. Holevo, “An analogue of statistical decision theory and noncommutative probability theory”, Trudy Moskov. Mat. Obšč., 26, 1972, 133–149
157.	A. S. Kholevo, “On estimating functions of the mean”, TVP, 17:3 (1972), 573–577 ; A. S. Kholevo, “On estimating functions of the mean”, Theory Probab. Appl., 17:3 (1973), 543–547
158.	A. S. Kholevo, “Some statistical problems for quantum fields”, TVP, 17:2 (1972), 360–365 ; A. S. Kholevo, “Some statistical problems for quantum fields”, Theory Probab. Appl., 17:2 (1973), 347–351
159.	A. S. Holevo, “On the Mathematical Theory of Quantum Communication Channels”, Problems Inform. Transmission, 8:1 (1972), 47–54
160.	A. S. Holevo, “On quasiequivalence of locally normal states”, Theoret. and Math. Phys., 13:2 (1972), 1071–1082
161.	A. S. Holevo, “Quasifree states of the $C^*$ algebra of CCR. II”, Theoret. and Math. Phys., 6:2 (1971), 103–107
162.	A. S. Holevo, “Quasi-free states on the $C^*$ algebra of CCR”, Theoret. and Math. Phys., 6:1 (1971), 1–12
163.	A. S. Holevo, “On asymptotic normality of estimates of regression coefficients”, Theory Probab. Appl., 16:4 (1971), 707–711
164.	A. S. Holevo, “On asymptotic efficiency of pseudo-best estimators”, Theory Probab. Appl., 16:3 (1971), 516–527
165.	A. S. Holevo, “Almost periodic signal estimations”, Theory Probab. Appl., 16:2 (1971), 249–263
166.	A. S. Holevo, “Quantum Characteristic Functions”, Problems Inform. Transmission, 6:4 (1970), 316–321
167.	A. S. Holevo, “On estimates of regression coefficients”, Theory Probab. Appl., 4:1 (1969), 79–104
168.	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
169.	A. S. Kholevo, “On Sequential Estimates of Parameters”, Theory Probab. Appl., 12:1 (1967), 147–152
170.	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
171.	A. S. Holevo, “Automata which predict a random process”, Soviet Physics Dokl., 10 (1965), 816–818


172.	A. S. Holevo, “Statistical inference for quantum systems”, International Encyclopedia of Statistical Science, eds. M. Lovric, Springer, 2011, 1420–1423
173.	A. S. Kholevo, “Kvantovaya teoriya informatsii”, Bolshaya Rossiiskaya entsiklopediya, v. 13, 2009, 451–453
174.	A. S. Kholevo, K. A. Valiev, “Kvantovyi kompyuter”, Bolshaya Rossiiskaya entsiklopediya, v. 13, 2009, 472–473
175.	A. S. Kholevo, “Kvantovaya informatika: proshloe, nastoyaschee, buduschee”, V mire nauki, 2008, no. 7, 68–75, http://www.sciam.ru/2008/7/inform.shtml
176.	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 ; 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
177.	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
178.	M. V. Burnashev, A. S. Holevo, “Letter to the Editor”, Problems Inform. Transmission, 35:1 (1999), 93–94
179.	A. S. Kholevo, “International symposium on information theory 1998”, TVP, 43:4 (1998), 823–824 ; A. S. Holevo, “International symposium on information theory 1998”, Theory Probab. Appl., 43:4 (1999), 685–686
180.	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 ; 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
181.	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
182.	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
183.	A. A. Novikov, A. S. Kholevo, “The Twelfth All-Union Seminar on Probability Theory and Mathematical Statistics”, TVP, 23:4 (1978), 886 ; A. A. Novikov, A. S. Holevo, “The Twelfth All-Union Seminar on Probability Theory and Mathematical Statistics”, Theory Probab. Appl., 23:4 (1979), 853

Presentations in Math-Net.Ru

1.	On Compactness of Families of Probability Measures on the Set of Quantum States International Scientific Conference "Probability Theory and its Applications" On Occasion of 85th Birthday of Yu. V. Prokhorov February 12, 2015 14:45
2.	Gaussian optimizers and additivity problem in a quantum information theory General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences January 22, 2015 14:00
3.	Gaussian maps of the algebra of canonical commutation relations: solved and unsolved problems St. Petersburg Seminar on Representation Theory and Dynamical Systems January 21, 2015 17:00
4.	Гауссовские оптимизаторы и проблема аддитивности в квантовой теории информации Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute December 30, 2014 14:00
5.	Следствия условия ковариантности бозонных гауссовских каналов связи Seminar on Quantum Probability, Statistics, Information December 22, 2014 16:30
6.	Семинар, посвященный памяти Юрия Васильевича Прохорова. О компактности подмножеств вероятностных мер на квантовых состояниях Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute December 15, 2014 13:00
7.	О классической пропускной способности бесконечномерного ковариантного канала с ограничением на входе Seminar on Quantum Probability, Statistics, Information November 10, 2014 16:30
8.	The classical capacities of quantum communication channels Conference "Stochastics, Statistics, Financial Mathematics" in honor of Professor Albert Shiryaev's 80th anniversary October 15, 2014 10:00
9.	Quantum Shannon theory Globus Seminar April 24, 2014 15:40
10.	О проблеме гауссовских оптимизаторов для бозонных и фермионных каналов Seminar on Quantum Probability, Statistics, Information April 21, 2014 16:30
11.	Classical probability, quantum probability Colloquium of the Steklov Mathematical Institute April 3, 2014 16:00
12.	Quantum information theory Infinite dimensional analysis and mathematical physics March 17, 2014 18:30
13.	О проблеме гауссовских оптимизаторов в квантовой теории информации Dobrushin Mathematics Laboratory Seminar February 11, 2014 16:00
14.	О проблеме гауссовских оптимизаторов в квантовой теории информации Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute January 9, 2014 14:00
15.	Новые подходы к задаче о гауссовских оптимизаторах для квантовых каналов Seminar on Quantum Probability, Statistics, Information November 18, 2013 16:30
16.	The entropy gain of infinite-dimensional quantum evolutions International conference "QP 34 – Quantum Probability and Related Topics" September 20, 2013 10:30
17.	О результате Либа-Соловей о минимальной выходной энтропии Seminar on Quantum Probability, Statistics, Information April 3, 2013 16:30
18.	Бозонные гауссовские классически-квантовые каналы Seminar on Quantum Probability, Statistics, Information December 3, 2012 16:00
19.	Quantum channels and their entropic characteristics School-Seminar "Interaction of Mathematics and Physics: New Perspectives" for graduate students and young researchers August 27, 2012 15:00
20.	О суперактивации квантовой пропускной способности Seminar on Quantum Probability, Statistics, Information March 21, 2012 16:30
21.	Entropic characteristics of Markov operators and the additivity problem Traditional winter session MIAN–POMI devoted to the topic "Probability and Functional Analysis" February 17, 2012 14:00
22.	Экстремальные гауссовские каналы (продолжение) Seminar on Quantum Probability, Statistics, Information November 21, 2011 16:30
23.	Экстремальные гауссовские каналы Seminar on Quantum Probability, Statistics, Information November 14, 2011 16:30
24.	О классических пропускных способностях измерительных каналов Seminar on Quantum Probability, Statistics, Information April 28, 2011 16:00
25.	Бесконечномерное обобщение соответствия Чоя–Ямилковского Seminar on Quantum Probability, Statistics, Information December 20, 2010 16:00
26.	Квантовая псевдотелепатия, пентаграммы и тэта-функция Ловача Seminar on Quantum Probability, Statistics, Information November 22, 2010 16:00
27.	Прирост энтропии для квантовых каналов и его свойства Seminar on Quantum Probability, Statistics, Information April 5, 2010 15:30
28.	Соответствие Чоя–Ямилковского для бесконечномерных квантовых каналов Seminar on Quantum Probability, Statistics, Information February 22, 2010 15:30
29.	О проблеме гауссовских оптимизаторов Seminar on Quantum Probability, Statistics, Information October 5, 2009 18:30
30.	Quantum systems, channels, information Steklov Mathematical Institute Seminar March 19, 2009 16:00
31.	О контрпримере к проблеме аддитивности (по работе М. Хастингса) Seminar on Quantum Probability, Statistics, Information March 2, 2009 15:00
32.	Случайные унитарные операторы и проблема мультипликативности Principle Seminar of the Department of Probability Theory, Moscow State University December 12, 2007 16:45

Books in Math-Net.Ru

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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