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Holevo Alexander Semenovich
Statistics Math-Net.Ru
Total publications: 58
Scientific articles: 51
Citations to the author: 298
Cited articles: 38
Citing authors: 26
Presentations: 1

Number of views:
This page:1070
Abstract pages:4105
Full texts:1049
References:108
Scientific status: Professor
Scientific degree: Doctor of physico-mathematical sciences (1976)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 2.09.1943
Phone: +7 (499) 135 04 80
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
MSC: 81P68, 94A17, 94A40, 47B10, 47B65, 46L53

Subject

Noncommutative probability, quantum information and statistical decision theory.
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

List of publications on Google Scholar
List of publications on ZentralBlatt
Full list of publications: Download file (86 kB)

Publications in Math-Net.Ru
1. Entanglement-Breaking Channels in Infinite Dimensions
A. S. Holevo
Probl. Peredachi Inf., 2008, 44:3, 3–18
2. On Approximation of Infinite-Dimensional Quantum Channels
M. E. Shirokov, A. S. Holevo
Probl. Peredachi Inf., 2008, 44:2, 3–22
3. Single-Mode Quantum Gaussian Channels: Structure and Quantum Capacity
A. S. Holevo
Probl. Peredachi Inf., 2007, 43:1, 3–14
4. Multiplicativity of $p$-norms of completely positive maps and the additivity problem in quantum information theory
A. S. Holevo
Uspekhi Mat. Nauk, 2006, 61:2(368), 113–152
5. Complementary channels and the additivity problem
A. S. Holevo
Teor. Veroyatnost. i Primenen., 2006, 51:1, 133–143
6. On a Sufficient Additivity Condition in Quantum Information Theory
N. Datta, A. S. Holevo, Yu. M. Sukhov
Probl. Peredachi Inf., 2005, 41:2, 9–25
7. On the notion of entanglement in Hilbert spaces
R. F. Werner, A. S. Holevo, M. E. Shirokov
Uspekhi Mat. Nauk, 2005, 60:2(362), 153–154
8. Continuous ensembles and the capacity of infinite-dimensional quantum channels
A. S. Holevo, M. E. Shirokov
Teor. Veroyatnost. i Primenen., 2005, 50:1, 98–114
9. The additivity problem for constrained quantum channels
A. S. Holevo, M. E. Shirokov
Uspekhi Mat. Nauk, 2004, 59:2(356), 195–196
10. Asymptotic estimation of a shift parameter of a quantum state
A. S. Holevo
Teor. Veroyatnost. i Primenen., 2004, 49:2, 335–350
11. Entanglement-assisted capacities of constrained quantum channels
A. S. Holevo
Teor. Veroyatnost. i Primenen., 2003, 48:2, 359–374
12. On the multiplicativity hypothesis for quantum communication channels
G. G. Amosov, A. S. Holevo
Teor. Veroyatnost. i Primenen., 2002, 47:1, 143–146
13. On the Additivity Conjecture in Quantum Information Theory
G. G. Amosov, A. S. Holevo, R. F. Werner
Probl. Peredachi Inf., 2000, 36:4, 25–34
14. On the Reliability Function for a Quantum Communication Channel
M. V. Burnashev, A. S. Holevo
Probl. Peredachi Inf., 1998, 34:2, 3–15
15. Quantum coding theorems
A. S. Holevo
Uspekhi Mat. Nauk, 1998, 53:6(324), 193–230
16. There exists a non-standard dynamical semigroup on $\mathfrak L(\mathscr H)$
A. S. Holevo
Uspekhi Mat. Nauk, 1996, 51:6(312), 225–226
17. Excessive maps, “arrival times” and perturbation of dynamical semigroups
A. S. Holevo
Izv. RAN. Ser. Mat., 1995, 59:6, 207–222
18. On translation-covariant quantum Markov equations
A. S. Holevo
Izv. RAN. Ser. Mat., 1995, 59:2, 205–221
19. On the Lévy–Khinchin formula in noncommutative probability theory
A. S. Kholevo
Teor. Veroyatnost. i Primenen., 1993, 38:4, 842–857
20. Quantum probability and quantum statistics
A. S. Holevo
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1991, 83, 5–132
21. Conditionally positive-definite functions in quantum probability theory
A. S. Holevo
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 1989, 36, 103–147
22. A quantum stochastic calculus
A. S. Holevo
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 1989, 36, 3–28
23. Stochastic representations of quantum dynamical semi-groups
A. S. Holevo
Trudy Mat. Inst. Steklov., 1989, 191, 130–139
24. Lévy–Khintchine Representation in Quantum Theory of Probability
A. S. Holevo
Teor. Veroyatnost. i Primenen., 1987, 32:1, 142–146
25. On a generalization of canonical quantization
A. S. Kholevo
Izv. Akad. Nauk SSSR Ser. Mat., 1986, 50:1, 181–194
26. Infinite-divisible instruments in quantum probability theory
A. S. Holevo
Teor. Veroyatnost. i Primenen., 1986, 31:3, 560–564
27. On the principle of quantum nondemolition measurements
A. S. Holevo
Teoret. Mat. Fiz., 1985, 65:3, 415–422
28. A characterization of the covariant resolutions of the identity
N. A. Bogomolov, A. S. Kholevo
Funkts. Anal. Prilozh., 1983, 17:2, 64–65
29. Generalized imprimitivity systems for abelian groups
A. S. Holevo
Izv. Vyssh. Uchebn. Zaved. Mat., 1983:2, 49–71
30. On measurements of the parameters of a quantum random process
A. S. Holevo
Teoret. Mat. Fiz., 1983, 57:3, 424–437
31. Quantum-probabilistic investigation of the statistics of readings, using a “Dolinar device”
A. S. Holevo
Izv. Vyssh. Uchebn. Zaved. Mat., 1982:8, 3–19
32. On Capacity of a Quantum Communications Channel
A. S. Holevo
Probl. Peredachi Inf., 1979, 15:4, 3–11
33. A regression problem for continuous time series
N. P. Rasulov, A. S. Holevo
Teor. Veroyatnost. i Primenen., 1978, 23:4, 762–771
34. On asymptotically optimal hypotheses testing in quantum statistics
A. S. Holevo
Teor. Veroyatnost. i Primenen., 1978, 23:2, 429–432
35. An integral over a measure with values in the space conjugated to a partially ordered Banach space
A. S. Holevo
Zap. Nauchn. Sem. LOMI, 1976, 55, 26–34
36. Mathematical problems in the theory of quantum channels
A. S. Holevo
Trudy Mat. Inst. Steklov., 1975, 135, 226–227
37. Remarks on Optimal Quantum Measurements
A. S. Holevo
Probl. Peredachi Inf., 1974, 10:4, 51–55
38. Bounds for the Quantity of Information Transmitted by a Quantum Communication Channel
A. S. Holevo
Probl. Peredachi Inf., 1973, 9:3, 3–11
39. Information-Theoretical Aspects of Quantum Measurement
A. S. Holevo
Probl. Peredachi Inf., 1973, 9:2, 31–42
40. Optimal quantum measurements
A. S. Holevo
Teoret. Mat. Fiz., 1973, 17:3, 319–326
41. On the quasiequivalence of quasifree states on the $C^*$-algebra of CAR
A. S. Holevo
Teoret. Mat. Fiz., 1973, 14:2, 145–151
42. On the Mathematical Theory of Quantum Communication Channels
A. S. Holevo
Probl. Peredachi Inf., 1972, 8:1, 62–71
43. On quasiequivalence of locally normal states
A. S. Holevo
Teoret. Mat. Fiz., 1972, 13:2, 184–199
44. Quasifree states of the $C^*$ algebra of CCR. II
A. S. Holevo
Teoret. Mat. Fiz., 1971, 6:2, 145–150
45. Quasi-free states on the $C^*$ algebra of CCR
A. S. Holevo
Teoret. Mat. Fiz., 1971, 6:1, 3–20
46. On asymptotic normality of estimates of regression coefficients
A. S. Holevo
Teor. Veroyatnost. i Primenen., 1971, 16:4, 724–728
47. On asymptotic efficiency of pseudo-best estimators
A. S. Holevo
Teor. Veroyatnost. i Primenen., 1971, 16:3, 524–534
48. Almost periodic signal estimations
A. S. Holevo
Teor. Veroyatnost. i Primenen., 1971, 16:2, 249–263
49. Quantum Characteristic Functions
A. S. Holevo
Probl. Peredachi Inf., 1970, 6:4, 42–48
50. On estimates of regression coefficients
A. S. Holevo
Teor. Veroyatnost. i Primenen., 1969, 14:1, 78–101
51. On Sequential Estimates of Parameters
A. S. Kholevo
Teor. Veroyatnost. i Primenen., 1967, 12:1, 172–179

52. On the 80th Birthday of B. A. Sevastyanov
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
Teor. Veroyatnost. i Primenen., 2003, 48:4, 785
53. Letter to the Editor
M. V. Burnashev, A. S. Holevo
Probl. Peredachi Inf., 1999, 35:1, 110–111
54. International symposium on information theory 1998
A. S. Holevo
Teor. Veroyatnost. i Primenen., 1998, 43:4, 823–824
55. Roland L'vovich Dobrushin (20 July 1919 – 12 November 1995)
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
Teor. Veroyatnost. i Primenen., 1996, 41:1, 164–169
56. Nikolai Nikolaevich Chentsov (obituary)
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
Uspekhi Mat. Nauk, 1993, 48:2(290), 165–168
57. Memorial: Nikolai Nikolaevitch Chentsov
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
Teor. Veroyatnost. i Primenen., 1993, 38:3, 613–623
58. The Twelfth All-Union Seminar on Probability Theory and Mathematical Statistics
A. A. Novikov, A. S. Holevo
Teor. Veroyatnost. i Primenen., 1978, 23:4, 886

Presentations
  1. Quantum systems, channels, information
    Steklov Mathematical Institute Seminar
    March 19, 2009 16:00

Organisations
 
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