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Holevo Alexander Semenovich

Total publications: 196 (182)
in MathSciNet: 149 (142)
in zbMATH: 114 (111)
in Web of Science: 88 (84)
in Scopus: 94 (94)
Cited articles: 131
Citations in Math-Net.Ru: 810
Citations in Web of Science: 2919
Citations in Scopus: 2760
Presentations: 49

Number of views:
This page:12031
Abstract pages:28207
Full texts:7507
References:1345
Corresponding member of RAS
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 190 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, 2015; International «Quantum Communication Award» — 1996; A. von Humboldt Research Award — 1999; Claude E. Shannon Award 2016. 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
http://scholar.google.com/citations?user=4SnPOK0AAAAJ&hl=en
http://zbmath.org/authors/?q=ai:holevo.alexander-s
https://mathscinet.ams.org/mathscinet/MRAuthorID/189303
http://elibrary.ru/author_items.asp?authorid=116
http://orcid.org/0000-0001-5699-521X
http://www.researcherid.com/rid/F-4187-2016
http://www.scopus.com/authid/detail.url?authorId=6603727683
https://www.researchgate.net/profile/Alexander_Holevo

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |



   2018
1. Math. Notes, 103:1 (2018), 133–144  mathnet  crossref  isi  scopus
2. A. S. Holevo, “Mathematical foundations of quantum informatics”, Lekts. Kursy NOC, 30, 2018, 3–118  mathnet  mathnet  crossref  elib

   2017
3. M. E. Shirokov, A. S. Holevo, “On lower semicontinuity of the entropic disturbance and its applications in quantum information theory”, Izv. Math., 81:5 (2017), 1044–1060  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2018
4. A. S. Holevo, “ON THE CLASSICAL CAPACITY OF A CHANNEL WITH STATIONARY QUANTUM GAUSSIAN NOISE”, THEORY PROBAB. APPL., 62:4 (2018), 534–551  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2017
5. I. Siemon, A. S. Holevo, R. F. Werner, “Unbounded generators of dynamical semigroups”, Open Syst. Inf. Dyn., 24:4 (2017), 1740015 , 24 pp.  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
6. A. S. Holevo, “On the quantum Gaussian optimizers conjecture in the case $q=p$”, Russian Math. Surveys, 72:6 (2017), 1177–1179  mathnet  crossref  crossref  mathscinet  mathscinet  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)

   2016
7. A. S. Holevo, “On the constrained classical capacity of infinite-dimensional covariant quantum channels”, J. Math. Phys., 57:1 (2016), 15203 , 11 pp.  mathnet (cited: 1)  crossref  isi (cited: 4)  elib  scopus (cited: 4)
8. A. S. Holevo, “On the proof of the majorization theorem for quantum Gaussian channels”, Russian Math. Surveys, 71:3 (2016), 585–587  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)

   2017
9. A. S. Holevo, “On a characterization of Gaussian transition operators”, Theory Probab. Appl., 61:4 (2017), 715–718  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2016
10. A. S. Holevo, “The classical capacity of quantum Gaussian gauge-covariant channels: beyond i.i.d.”, IEEE Information Theory Society Newsletter, 66:4 (2016), 3–6  mathnet
11. Kvantovyi predel informatsii, intervyu A.S. Kholevo internet-zhurnalu “Stimul”, 2016

   2015
12. 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  mathnet (cited: 10)  crossref  mathscinet (cited: 4)  zmath  isi (cited: 28)  elib (cited: 8)  scopus
13. V. Giovannetti, A. S. Holevo, A. Mari, “Majorization and additivity for multimode bosonic Gaussian channels”, Theoret. and Math. Phys., 182:2 (2015), 284–293  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 11)
14. A. S. Holevo, “Gaussian optimizers and the additivity problem in quantum information theory”, Russian Math. Surveys, 70:2 (2015), 331–367  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 21)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 13)
15. A. S. Holevo, M. E. Shirokov, “On the Gain of Entanglement Assistance in the Classical Capacity of Quantum Gaussian Channels”, Math. Notes, 97:6 (2015), 974–977  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)
16. G. De Palma, A. Mari, V. Giovannetti, A. S. Holevo, “Normal form decomposition for Gaussian-to-Gaussian superoperators”, J. Math. Phys., 56:5 (2015), 052202 , 19 pp.  mathnet (cited: 3)  crossref  mathscinet  zmath  isi (cited: 8)  elib  scopus (cited: 12)

   2016
17. A. S. Holevo, M. E. Shirokov, “Criterion of weak compactness for families of generalized quantum ensembles and its corollaries”, Theory Probab. Appl., 60:2 (2016)  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2014
18. 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  mathnet  crossref  crossref  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
19. A. S. Holevo, “Gaussian classical-quantum channels: gain from entanglement-assistance”, Problems Inform. Transmission, 50:1 (2014), 1–14  mathnet  crossref  mathscinet  isi  elib (cited: 1)  scopus

   2015
20. A. A. Kuznetsova, A. S. Holevo, “Coding theorems for hybrid channels. II”, Theory Probab. Appl., 59:1 (2015), 145–154  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2014
21. A. Mari, V. Giovannetti, A. S. Holevo, “Quantum state majorization at the output of bosonic Gaussian channels”, Nature Communications, 5 (2014), 3826 , 5 pp.  mathnet  crossref  isi (cited: 39)  scopus (cited: 38)
22. 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.  mathnet  crossref  isi (cited: 63)  elib (cited: 23)  scopus
23. 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  mathnet  crossref

   2013
24. A. S. Holevo, Quantum systems, channels, information. A mathematical introduction, De Gruyter, Berlin–Boston, 2013 , 370 pp. (rasshirennoe i ispravlennoe izdanie angliiskogo perevoda monografii)  mathscinet (cited: 33)  zmath
25. 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.  mathnet  crossref  isi (cited: 6)  elib (cited: 5)  scopus (cited: 6)
26. A. S. Holevo, “Extreme bosonic linear channels”, Theoret. and Math. Phys., 174:2 (2013), 288–297  mathnet  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 6)
27. 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 (cited: 8)  elib (cited: 4)  scopus (cited: 7)
28. 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  scopus

   2014
29. A. A. Kuznetsova, A. S. Holevo, “Coding Theorems for Hybrid Channels”, Theory Probab. Appl., 58:2 (2014), 264–285  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

   2013
30. V. Giovannetti, A. S. Holevo, R. Garcia-Patron, A solution of the Gaussian optimizer conjecture, 2013 , Newton Institute preprint NI13068-MQI, arXiv: 1312.2251  adsnasa

   2012
31. A. S. Holevo, V. Giovannetti, “Quantum channels and their entropic characteristics”, Rep. Prog. Phys., 75 (2012), 046001 , 45 pp.  mathnet  crossref  mathscinet (cited: 6)  isi (cited: 62)  elib (cited: 35)  scopus (cited: 68)
32. A. S. Holevo, “Information capacity of a quantum observable”, Problems Inform. Transmission, 48:1 (2012), 1–10  mathnet  mathnet  crossref  isi (cited: 21)  elib (cited: 18)  scopus (cited: 24)

   2011
33. 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  mathscinet  adsnasa  isi (cited: 20)  elib (cited: 11)  elib (cited: 11)  scopus (cited: 21)
34. A. S. Holevo, Probabilistic and statistical aspects of quantum theory, 2nd edition, Edizioni della Normale, Pisa, 2011  mathscinet (cited: 19)  zmath
35. 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 (cited: 13)  elib (cited: 10)  scopus (cited: 15)
36. A. S. Holevo, “The Choi-Jamiolkowski forms of quantum Gaussian channels”, J. Math. Phys., 52 (2011), 042202 , 12 pp.  crossref  mathscinet (cited: 4)  adsnasa  isi (cited: 16)  elib (cited: 8)  scopus (cited: 18)
37. 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
38. 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 (cited: 2)
39. A. S. Holevo, “Statistical inference for quantum systems”, International Encyclopedia of Statistical Science, eds. M. Lovric, Springer, 2011, 1420–1423  crossref

   2010
40. A. S. Kholevo, Kvantovye sistemy, kanaly, informatsiya, MTsNMO, M., 2010 , 328 pp. https://www.mccme.ru/free-books/holevo-quantum.pdf
41. 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  crossref  mathscinet
42. A. S. Holevo, “The entropy gain of infinite-dimensional quantum evolutions”, Dokl. Math., 82:2 (2010), 730–731  crossref  mathscinet  zmath  isi (cited: 12)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 13)
43. A. S. Kholevo, “Kvantovaya teoriya informatsii. Kanaly i propusknye sposobnosti”, Informatsionnye tekhnologii i vychislitelnye sistemy, 3 (2010), 39–46  elib
44. 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 (cited: 10)  elib (cited: 8)  scopus (cited: 11)
45. 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 (cited: 2)  zmath  isi (cited: 16)  elib (cited: 16)  scopus (cited: 22)
46. T. Heinosaari, A. S. Holevo, M. M. Wolf, “The semigroup structure of Gaussian channels”, Quantum Inf. Comput., 10:7-8 (2010), 619–635  mathscinet (cited: 2)  zmath  isi (cited: 22)  elib (cited: 6)  scopus (cited: 8)

   2009
47. A. S. Holevo, J.-P. Pellonpää, “Extreme Covariant Observables for Type I Symmetry Groups”, Found. Phys., 39:6 (2009), 625–641  crossref  mathscinet (cited: 1)  zmath  adsnasa  isi (cited: 4)  elib (cited: 3)  scopus (cited: 4)
48. A. S. Kholevo, “Kvantovaya teoriya informatsii”, Bolshaya Rossiiskaya entsiklopediya, v. 13, 2009, 451–453
49. A. S. Kholevo, K. A. Valiev, “Kvantovyi kompyuter”, Bolshaya Rossiiskaya entsiklopediya, v. 13, 2009, 472–473

   2008
50. 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 (cited: 45)  scopus (cited: 48)
51. A. S. Holevo, V. Giovannetti, “Quantum shared broadcasting”, Quantum Inf. Process., 7:2-3 (2008), 55–69  crossref  mathscinet (cited: 1)  zmath  isi (cited: 5)  elib (cited: 5)  scopus (cited: 5)
52. A. S. Holevo, “Entanglement-Breaking Channels in Infinite Dimensions”, Problems Inform. Transmission, 44:3 (2008), 171–184  mathnet  crossref  mathscinet  zmath  isi (cited: 49)  elib (cited: 38)  elib (cited: 38)  scopus (cited: 60)
53. 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 (cited: 16)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 17)
54. 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 (cited: 1)

   2007
55. A. S. Holevo, “Single-Mode Quantum Gaussian Channels: Structure and Quantum Capacity”, Problems Inform. Transmission, 43:1 (2007), 1–11  mathnet  crossref  mathscinet  isi (cited: 56)  elib (cited: 42)  elib (cited: 42)  scopus (cited: 57)

   2006
56. A. S. Holevo, “The additivity problem in quantum information theory”, International Congress of Mathematicians, Vol. III, Eur. Math. Soc., Zürich, 2006, 999–1018  mathscinet (cited: 11)  zmath
57. N. Datta, M. Fukuda, A. S. Holevo, “Complementarity and additivity for covariant channels”, Quantum Inf. Process., 5:3 (2006), 179–207  crossref  mathscinet (cited: 6)  zmath  isi (cited: 17)  elib (cited: 10)  scopus (cited: 17)
58. 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 (cited: 62)  scopus (cited: 62)
59. 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 (cited: 11)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 9)

   2007
60. A. S. Holevo, “Complementary channels and the additivity problem”, Theory Probab. Appl., 51:1 (2007), 92–100  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 26)  elib (cited: 13)  elib (cited: 13)  scopus (cited: 16)

   2006
61. A. S. Holevo, “Locating a photon:position observables and an uncertainty relation”, Russian Microelectronics, 35:1 (2006), 21–30  elib
62. 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 (cited: 9)  elib (cited: 4)  scopus (cited: 7)
63. A. S. Holevo, “Quantum channels: classical capacity”, Encyclopedia of Mathematical Physics, Academic Press, 2006, 142–144

   2005
64. 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 (cited: 12)  elib  scopus (cited: 24)
65. 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 (cited: 3)  elib (cited: 3)  scopus (cited: 5)
66. 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 (cited: 28)  elib (cited: 22)  elib (cited: 22)  scopus (cited: 24)
67. A. S. Holevo, “The additivity problem and constrained quantum channels”, Proc. Int. Soc. Opt. Eng., 5833 (2005), 196-201  elib  scopus
68. A. S. Holevo, “Additivity conjecture and covariant channels”, Int. J. Quant., 3:1 (2005), 41-48  crossref  isi (cited: 16)  elib (cited: 12)  scopus (cited: 17)

   2004
69. A. S. Holevo, M. E. Shirokov, “On Shor's channel extension and constrained channels”, Comm. Math. Phys., 249:2 (2004), 417–430  crossref  mathscinet (cited: 6)  zmath  adsnasa  isi (cited: 26)  elib (cited: 29)  scopus (cited: 27)
70. 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  scopus

   2005
71. A. S. Holevo, “Asymptotic estimation of a shift parameter of a quantum state”, Theory Probab. Appl., 49:2 (2005), 207–220  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 4)  scopus (cited: 5)

   2003
72. 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
73. A. S. Kholevo, Veroyatnostnye i statisticheskie aspekty kvantovoi teorii, 2-e izd., Institut kompyuternykh issledovanii, Moskva–Izhevsk, 2003 , 410 pp.
74. A. S. Kholevo, Statisticheskaya struktura kvantovoi teorii, Institut kompyuternykh issledovanii, Izhevsk, 2003

   2004
75. A. S. Holevo, “Entanglement-assisted capacities of constrained quantum channels”, Theory Probab. Appl., 48:2 (2004), 243–255  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 13)  scopus (cited: 18)

   2003
76. 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 (cited: 12)  elib (cited: 2)  scopus (cited: 2)

   2004
77. 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  mathnet  crossref  crossref  mathscinet  isi

   2002
78. A. S. Holevo, “On states, channels, and purification”, Quantum Inf. Process., 1:1-2 (2002), 1–4  crossref  mathscinet (cited: 1)  isi (cited: 1)
79. 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 (cited: 39)  zmath  adsnasa  isi (cited: 88)  elib (cited: 82)  scopus (cited: 92)
80. A. S. Holevo, “On entanglement-assisted classical capacity”, Quantum information theory, J. Math. Phys., 43, no. 9, 2002, 4326–4333  crossref  mathscinet (cited: 14)  zmath  adsnasa  isi (cited: 48)  scopus (cited: 50)
81. A. S. Kholevo, Vvedenie v kvantovuyu teoriyu informatsii, MTsNMO, M., 2002 , 128 pp.

   2003
82. G. G. Amosov, A. S. Holevo, “On the multiplicativity hypothesis for quantum communication channels”, Theory Probab. Appl., 47:1 (2003), 123–127  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 6)  scopus (cited: 8)

   2002
83. 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

   2001
84. A. S. Holevo, Statistical structure of quantum theory, Lecture Notes in Physics. Monographs, 67, Springer-Verlag, Berlin, 2001 , x+159 pp.  crossref  mathscinet (cited: 67)
85. 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
86. 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
87. A. S. Holevo, “An invitation to quantum estimation”, Math. Methods Statist., 10:1 (2001), 1–5  mathscinet  zmath
88. A. S. Holevo, “Lévy processes and continuous quantum measurements”, Lévy processes, Birkhäuser Boston, Boston, MA, 2001, 225–239  crossref  mathscinet (cited: 1)  zmath
89. A. S. Holevo, R. F. Werner, “Evaluating capacities of Bosonic Gaussian channels”, Phys. Rev. A, 63 (2001), 032312 , 13 pp.  crossref  adsnasa  isi (cited: 261)  scopus (cited: 79)

   2000
90. 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 (cited: 2)  zmath  adsnasa  isi (cited: 9)  elib (cited: 9)  scopus (cited: 11)
91. A. S. Holevo, “Reliability function of general classical-quantum channel”, IEEE Trans. Inform. Theory, 46:6 (2000), 2256–2261  crossref  mathscinet (cited: 10)  zmath  isi (cited: 29)  elib (cited: 17)  scopus (cited: 32)
92. 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

   1999
93. A. S. Holevo, M. Sohma, O. Hirota, “The capacity of quantum Gaussian channels”, Phys. Rev. A, 59:3 (1999), 1820–1828  crossref  adsnasa  isi (cited: 149)  elib (cited: 135)  scopus (cited: 151)
94. 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
95. M. V. Burnashev, A. S. Holevo, “Letter to the Editor”, Problems Inform. Transmission, 35:1 (1999), 93–94  mathnet  mathscinet  zmath

   1998
96. 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
97. A. S. Holevo, “Covariant quantum dynamical semigroups: unbounded generators”, Irreversibility and causality (Goslar, 1996), Lecture Notes in Phys., 504, Springer, Berlin, 1998, 67–81  crossref  mathscinet (cited: 8)  adsnasa
98. A. S. Holevo, “Radon-Nikodým derivatives of quantum instruments”, J. Math. Phys., 39:3 (1998), 1373–1387  crossref  mathscinet (cited: 11)  zmath  adsnasa  isi (cited: 23)  elib (cited: 21)  scopus (cited: 23)
99. A. S. Holevo, “The capacity of the quantum channel with general signal states”, IEEE Trans. Inform. Theory, 44:1 (1998), 269–273  crossref  mathscinet (cited: 109)  zmath  isi (cited: 599)  elib (cited: 539)  scopus (cited: 657)
100. A. S. Holevo, “Quantum coding theorems”, Russian Math. Surveys, 53:6 (1998), 1295–1331  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 110)  elib (cited: 66)  scopus (cited: 114)
101. 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

   1999
102. A. S. Holevo, “International symposium on information theory 1998”, Theory Probab. Appl., 43:4 (1999), 685–686  mathnet  crossref  crossref

   1997
103. M. V. Burnashev, A. S. Holevo, On reliability function of quantum communication channel, 1997 , 8 pp., arXiv: quant-ph/9703013
104. 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  crossref

   1996
105. 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
106. 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 (cited: 4)  zmath
107. A. S. Holevo, “Exponential formulae in quantum stochastic calculus”, Proc. Roy. Soc. Edinburgh Sect. A, 126:2 (1996), 375–389  crossref  mathscinet (cited: 3)  zmath  elib (cited: 5)  scopus (cited: 8)
108. A. S. Holevo, “On dissipative stochastic equations in a Hilbert space”, Probab. Theory Related Fields, 104:4 (1996), 483–500  crossref  mathscinet (cited: 14)  zmath  isi (cited: 34)  elib (cited: 29)  scopus (cited: 33)
109. A. S. Holevo, “Covariant quantum Markovian evolutions”, J. Math. Phys., 37:4 (1996), 1812–1832  crossref  mathscinet (cited: 7)  zmath  adsnasa  isi (cited: 40)  scopus (cited: 41)
110. 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 (cited: 17)
111. 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  scopus (cited: 2)
112. 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 (cited: 1)  isi; 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

   1995
113. A. Barchielli, A. S. Holevo, “Constructing quantum measurement processes via classical stochastic calculus”, Stochastic Process. Appl., 58:2 (1995), 293–317  crossref  mathscinet (cited: 17)  zmath  isi (cited: 46)  elib (cited: 19)  scopus (cited: 47)
114. A. S. Holevo, “On the structure of covariant dynamical semigroups”, J. Funct. Anal., 131:2 (1995), 255–278  crossref  mathscinet (cited: 3)  zmath  isi (cited: 22)  scopus (cited: 17)
115. A. S. Holevo, “On translation-covariant quantum Markov equations”, Izv. Math., 59:2 (1995), 427–443  mathnet  crossref  mathscinet  zmath  isi (cited: 17)
116. A. S. Holevo, “Excessive maps, “arrival times” and perturbation of dynamical semigroups”, Izv. Math., 59:6 (1995), 1311–1325  mathnet  crossref  mathscinet  zmath  isi (cited: 2)

   1993
117. A. S. Holevo, “A note on covariant dynamical semigroups”, Rep. Math. Phys., 32:2 (1993), 211–216  crossref  mathscinet (cited: 9)  zmath  adsnasa  elib (cited: 10)  scopus (cited: 41)
118. 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 (cited: 5)  zmath  adsnasa  elib (cited: 7)  scopus (cited: 23)
119. A. S. Kholevo, “Structure of covariant dynamical semigroups”, Russian Acad. Sci. Dokl. Math., 47:1 (1993), 161–167  mathnet  mathscinet  zmath
120. 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 (cited: 1)  zmath  elib (cited: 1)  scopus (cited: 9)
121. A. S. Kholevo, “On the Lévy–Khinchin formula in noncommutative probability theory”, Theory Probab. Appl., 38:4 (1993), 660–672  mathnet  crossref  mathscinet  zmath
122. 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 (cited: 1)
123. 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

   1992
124. 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 (cited: 7)  zmath  adsnasa

   1991
125. 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 (cited: 19)
126. 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 (cited: 1)  zmath
127. 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

   1990
128. 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
129. 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  crossref  mathscinet (cited: 2)  isi (cited: 5)

   1989
130. 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  crossref  mathscinet  isi (cited: 12)

   1991
131. A. S. Holevo, “Conditionally positive-definite functions in quantum probability theory”, J. Soviet Math., 56:5 (1991), 2670–2697  mathnet  crossref  mathscinet  zmath  scopus
132. A. S. Holevo, “A quantum stochastic calculus”, J. Soviet Math., 56:5 (1991), 2609–2624  mathnet  crossref  mathscinet  zmath  scopus (cited: 20)

   1992
133. A. S. Holevo, “Stochastic representations of quantum dynamical semi-groups”, Proc. Steklov Inst. Math., 191 (1992), 145–154  mathnet  mathscinet  zmath

   1988
134. 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 (cited: 1)
135. 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  crossref  mathscinet (cited: 1)  isi (cited: 15)

   1987
136. 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
137. A. S. Holevo, “Lévy–Khintchine Representation in Quantum Theory of Probability”, Theory Probab. Appl., 32:1 (1987), 131–136  mathnet  crossref  mathscinet  zmath  isi (cited: 5)
138. A. S. Holevo, “Quantum estimation”, Adv. Statist. Signal Proc., v. 1, JAI Press Inc., 1987, 157–202
139. A. S. Kholevo, “On a generalization of canonical quantization”, Math. USSR-Izv., 28:1 (1987), 175–188  mathnet  crossref  mathscinet  zmath
140. A. S. Holevo, “Infinite-divisible instruments in quantum probability theory”, Theory Probab. Appl., 31:3 (1987), 493–497  mathnet  crossref  mathscinet  zmath  isi (cited: 2)

   1985
141. A. S. Holevo, “Statistical definition of observable and the structure of statistical models”, Rep. Math. Phys., 22:3 (1985), 385–407  crossref  mathscinet (cited: 3)  zmath  adsnasa  scopus (cited: 14)
142. 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
143. A. S. Holevo, “On the principle of quantum nondemolition measurements”, Theoret. and Math. Phys., 65:3 (1985), 1250–1255  mathnet  crossref  mathscinet  adsnasa  isi (cited: 1)  scopus (cited: 5)

   1984
144. 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  crossref  mathscinet (cited: 2)  isi (cited: 29)

   1983
145. 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  crossref  mathscinet  isi (cited: 6)
146. 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  scopus
147. A. S. Holevo, “Generalized imprimitivity systems for abelian groups”, Soviet Math. (Iz. VUZ), 27:2 (1983), 53–80  mathnet  mathscinet  zmath
148. 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  scopus

   1982
149. A. S. Holevo, “Testing statistical hypotheses in quantum theory”, Probab. Math. Statist., 3:1 (1982), 113–126 (1983)  mathscinet (cited: 1)  zmath
150. 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 , xii+312 pp.  mathscinet (cited: 140)  zmath
151. 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

   1981
152. H. A. Bogomolov, A. S. Kholevo, “Razlozheniya edinitsy, kovariantnye otnositelno predstavleniya abelevoi lokalno kompaktnoi gruppy”, Tr. NIVTs MGU, M., 1981, 45–59

   1980
153. A. S. Holevo, Probabilistic and statistical aspects of quantum theory, Nauka, Moscow, 1980 , 320 pp.  mathscinet  zmath

   1979
154. A. S. Holevo, “Covariant measurements and uncertainty relations”, Rep. Math. Phys., 16:3 (1979), 385–400  crossref  mathscinet (cited: 15)  zmath  adsnasa  elib (cited: 16)  scopus (cited: 55)
155. A. S. Holevo, “On Capacity of a Quantum Communications Channel”, Problems Inform. Transmission, 15:4 (1979), 247–253  mathnet  mathscinet  zmath  scopus (cited: 67)

   1978
156. A. S. Holevo, “Estimation of shift parameters of a quantum state”, Rep. Math. Phys., 13:3 (1978), 379–399  crossref  mathscinet (cited: 3)  zmath  adsnasa  scopus (cited: 40)

   1979
157. N. P. Rasulov, A. S. Holevo, “A regression problem for continuous time series”, Theory Probab. Appl., 22:4 (1979), 731–740  mathnet  crossref  mathscinet  zmath  isi (cited: 1)
158. A. S. Holevo, “On asymptotically optimal hypotheses testing in quantum statistics”, Theory Probab. Appl., 23:2 (1979), 411–415  mathnet  crossref  mathscinet  zmath  isi (cited: 12)
159. A. A. Novikov, A. S. Holevo, “The Twelfth All-Union Seminar on Probability Theory and Mathematical Statistics”, Theory Probab. Appl., 23:4 (1979), 853  mathnet  crossref

   1977
160. 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  scopus (cited: 4)
161. A. S. Holevo, “Problems in the mathematical theory of quantum communication channels”, Rep. Mathematical Phys., 12:2 (1977), 273–278  crossref  mathscinet (cited: 9)  zmath  adsnasa  elib (cited: 20)  scopus (cited: 48)

   1978
162. A. S. Kholevo, “Investigations in the general theory of statistical decisions”, Proc. Steklov Inst. Math., 124 (1978), 1–140  mathnet  mathscinet  mathscinet  mathscinet  zmath

   1976
163. 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  crossref  mathscinet
164. A. S. Kholevo, “Optimalnoe izmerenie amplitud kompleksnykh signalov na fone kvantovogo shuma”, Trudy 4-go Mezhdunarodnogo simpoziuma po teorii informatsii, Leningrad, 1976

   1981
165. 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  mathnet  crossref  mathscinet  zmath  scopus

   1975
166. 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  scopus
167. A. S. Holevo, “Some statistical problems for quantum Gaussian states”, IEEE Trans. Information Theory, IT-21:5 (1975), 533–543  crossref  mathscinet (cited: 1)  zmath  isi (cited: 32)  scopus (cited: 30)
168. 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

   1974
169. A. S. Kholevo, “The theory of statistical decisions on an operator algebra”, Sov. Math. Dokl., 15 (1974), 1276–1281 (1975)  mathnet  mathscinet  mathscinet  zmath
170. A. S. Kholevo, “Optimal measurement of the mean value of a Gaussian state”, Engrg. Cybernetics, 12:5 (1974), 128–130  mathscinet
171. A. S. Holevo, “Remarks on Optimal Quantum Measurements”, Problems Inform. Transmission, 10:4 (1974), 317–320  mathnet  mathscinet  zmath

   1973
172. A. S. Holevo, “On the general problem of mean estimation”, J. Multivariate Anal., 3 (1973), 262–275  crossref  mathscinet  zmath  elib  scopus (cited: 1)
173. A. S. Holevo, “Statistical decision theory for quantum systems”, J. Multivariate Anal., 3 (1973), 337–394  crossref  mathscinet (cited: 40)  zmath  elib (cited: 48)  scopus (cited: 291)
174. A. S. Holevo, “A Generalization of the Rao–Cramér Inequality”, Theory Probab. Appl., 18:2 (1973), 359–362  mathnet  crossref  mathscinet  zmath
175. A. S. Holevo, “Information-Theoretical Aspects of Quantum Measurement”, Problems Inform. Transmission, 9:2 (1973), 110–118  mathnet  mathscinet  zmath
176. 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
177. A. S. Holevo, “Optimal quantum measurements”, Theoret. and Math. Phys., 17:3 (1973), 1172–1177  mathnet  crossref  mathscinet  zmath  adsnasa  scopus (cited: 4)
178. 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  scopus
179. 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 (cited: 6)  zmath

   1972
180. A. S. Holevo, “An analogue of statistical decision theory and noncommutative probability theory”, Trudy Moskov. Mat. Obšč., 26, 1972, 133–149  mathnet  mathscinet  zmath

   1973
181. A. S. Kholevo, “On estimating functions of the mean”, Theory Probab. Appl., 17:3 (1973), 543–547  mathnet  crossref  mathscinet  zmath
182. A. S. Kholevo, “Some statistical problems for quantum fields”, Theory Probab. Appl., 17:2 (1973), 347–351  mathnet  crossref  mathscinet  zmath

   1972
183. A. S. Holevo, “On the Mathematical Theory of Quantum Communication Channels”, Problems Inform. Transmission, 8:1 (1972), 47–54  mathnet  mathscinet  zmath
184. A. S. Holevo, “On quasiequivalence of locally normal states”, Theoret. and Math. Phys., 13:2 (1972), 1071–1082  mathnet  crossref  mathscinet  zmath  adsnasa  scopus (cited: 11)

   1971
185. 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  scopus (cited: 2)
186. 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  scopus (cited: 2)
187. A. S. Holevo, “On asymptotic normality of estimates of regression coefficients”, Theory Probab. Appl., 16:4 (1971), 707–711  mathnet  crossref  mathscinet  zmath
188. A. S. Holevo, “On asymptotic efficiency of pseudo-best estimators”, Theory Probab. Appl., 16:3 (1971), 516–527  mathnet  crossref  mathscinet  zmath
189. A. S. Holevo, “Almost periodic signal estimations”, Theory Probab. Appl., 16:2 (1971), 249–263  mathnet  crossref  mathscinet  zmath

   1970
190. A. S. Holevo, “Quantum Characteristic Functions”, Problems Inform. Transmission, 6:4 (1970), 316–321  mathnet  mathscinet

   1969
191. A. S. Holevo, “On estimates of regression coefficients”, Theory Probab. Appl., 4:1 (1969), 79–104  mathnet  crossref  mathscinet  zmath

   1967
192. 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
193. A. S. Kholevo, “On Sequential Estimates of Parameters”, Theory Probab. Appl., 12:1 (1967), 147–152  mathnet  crossref  mathscinet  zmath

   1965
194. 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
195. A. S. Holevo, “Automata which predict a random process”, Soviet Physics Dokl., 10 (1965), 816–818  mathnet  mathscinet  mathscinet  zmath  adsnasa

  
196. A. S. Kholevo, Teor. Veroyatnost. i Primenen. (to appear)  mathnet

Presentations in Math-Net.Ru
1. Quantum Markovian master equations and non-Lindbladian generators
A. S. Holevo
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 12, 2018 16:30   
2. Generators of quantum 1-dimensional diffusions
A. S. Holevo
International conference "Quantum information, statistics, probability" with a special session dedicated to A. S. Holevo's 75-th birthday
September 13, 2018 10:30   
3. Энтропийные соотношения неопределенностей и границы Гейзенберга
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
April 12, 2018 13:00
4. Gaussian optimizers and the additivity problem in quantum information theory
A. S. Holevo
Applied Mathematics Day
September 22, 2017 15:00   
5. О классической пропускной способности канала со стационарным квантовым гауссовским шумом
A. S. Holevo
Traditional winter session MIAN–POMI devoted to the topic "Probability theory"
December 13, 2016 10:00
6. Quantum “Signal plus stationary coloured noise” models
Alexander Holevo
New Trends in Mathematical and Theoretical Physics
October 6, 2016 10:30   
7. On the 100th anniversary of Claude Shannon
A. S. Holevo
Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS
September 8, 2016
8. The Classical Capacity of a Quantum Channel
A. S. Holevo
ISIT Shannon Lecture, Barcelona, Spain
July 13, 2016   
9. Математические модели “сигнал+шум” в квантовой теории информации
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
June 8, 2016 16:00
10. Что такое квантовая информатика?
A. S. Holevo
Colloquium of the Faculty of Computer Science
November 24, 2015 18:10   
11. Обзор новых достижений в квантовой теории информации (видео по материалам BIRS workshop)
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
November 23, 2015 16:30
12. Доказательство гипотезы о квантовых гауссовских оптимизаторах
A. S. Holevo
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2015
November 11, 2015 14:15   
13. Гауссовские оптимизаторы и проблема аддитивности в квантовой теории информации
A. S. Holevo
Steklov Mathematical Institute Seminar
October 15, 2015 16:00   
14. О характеризации гауссовских операторов перехода
A. S. Holevo
Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS
September 3, 2015 13:00
15. О квантовом аналоге формулы Шеннона для гауссовских каналов связи
A. S. Holevo
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
April 23, 2015 11:00
16. On Compactness of Families of Probability Measures on the Set of Quantum States
M. E. Shirokov, A. S. Holevo
International Scientific Conference "Probability Theory and its Applications" On Occasion of 85th Birthday of Yu. V. Prokhorov
February 12, 2015 14:45   
17. Gaussian optimizers and additivity problem in a quantum information theory
A. S. Holevo
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
January 22, 2015 14:00   
18. Gaussian maps of the algebra of canonical commutation relations: solved and unsolved problems
A. S. Holevo
St. Petersburg Seminar on Representation Theory and Dynamical Systems
January 21, 2015 17:00
19. Гауссовские оптимизаторы и проблема аддитивности в квантовой теории информации
A. S. Holevo
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
December 30, 2014 14:00
20. Следствия условия ковариантности бозонных гауссовских каналов связи
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
December 22, 2014 16:30
21. Семинар, посвященный памяти Юрия Васильевича Прохорова. О компактности подмножеств вероятностных мер на квантовых состояниях
M. E. Shirokov, A. S. Holevo
Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS
December 15, 2014 13:00
22. О классической пропускной способности бесконечномерного ковариантного канала с ограничением на входе
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
November 10, 2014 16:30
23. The classical capacities of quantum communication channels
A. S. Holevo
Conference "Stochastics, Statistics, Financial Mathematics" in honor of Professor Albert Shiryaev's 80th anniversary
October 15, 2014 10:00   
24. Quantum Shannon theory
A. S. Holevo
Globus Seminar
April 24, 2014 15:40   
25. О проблеме гауссовских оптимизаторов для бозонных и фермионных каналов
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
April 21, 2014 16:30
26. Classical probability, quantum probability
A. S. Holevo
Colloquium of the Steklov Mathematical Institute of Russian Academy of Sciences
April 3, 2014 16:00   
27. Quantum information theory
A. S. Holevo
Infinite dimensional analysis and mathematical physics
March 17, 2014 18:30
28. О проблеме гауссовских оптимизаторов в квантовой теории информации
A. S. Holevo
Dobrushin Mathematics Laboratory Seminar
February 11, 2014 16:00
29. О проблеме гауссовских оптимизаторов в квантовой теории информации
A. S. Kholevo
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
January 9, 2014 14:00
30. Новые подходы к задаче о гауссовских оптимизаторах для квантовых каналов
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
November 18, 2013 16:30
31. The entropy gain of infinite-dimensional quantum evolutions
A. S. Holevo
International conference "QP 34 – Quantum Probability and Related Topics"
September 20, 2013 10:30   
32. О результате Либа-Соловей о минимальной выходной энтропии
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
April 3, 2013 16:30
33. Бозонные гауссовские классически-квантовые каналы
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
December 3, 2012 16:00
34. Quantum channels and their entropic characteristics
Alexander Holevo
School-Seminar "Interaction of Mathematics and Physics: New Perspectives" for graduate students and young researchers
August 27, 2012 15:00   
35. О суперактивации квантовой пропускной способности
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
March 21, 2012 16:30
36. Entropic characteristics of Markov operators and the additivity problem
A. S. Holevo
Traditional winter session MIAN–POMI devoted to the topic "Probability and Functional Analysis"
February 17, 2012 14:00   
37. Экстремальные гауссовские каналы (продолжение)
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
November 21, 2011 16:30
38. Экстремальные гауссовские каналы
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
November 14, 2011 16:30
39. О классических пропускных способностях измерительных каналов
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
April 28, 2011 16:00
40. Бесконечномерное обобщение соответствия Чоя–Ямилковского
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
December 20, 2010 16:00
41. Квантовая псевдотелепатия, пентаграммы и тэта-функция Ловача
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
November 22, 2010 16:00
42. Прирост энтропии для квантовых каналов и его свойства
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
April 5, 2010 15:30
43. Соответствие Чоя–Ямилковского для бесконечномерных квантовых каналов
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
February 22, 2010 15:30
44. О проблеме гауссовских оптимизаторов
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
October 5, 2009 18:30
45. Quantum systems, channels, information
A. S. Holevo
Steklov Mathematical Institute Seminar
March 19, 2009 16:00   
46. О контрпримере к проблеме аддитивности (по работе М. Хастингса)
A. S. Holevo
Seminar on Quantum Probability, Statistics, Information
March 2, 2009 15:00
47. Случайные унитарные операторы и проблема мультипликативности
A. S. Holevo
Principle Seminar of the Department of Probability Theory, Moscow State University
December 12, 2007 16:45

Books in Math-Net.Ru
  1. A. S. Holevo, Mathematical foundations of quantum informatics, Lekts. Kursy NOC, 30, 2018, 118 с.
    http://mi.mathnet.ru/book1730
  2. 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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