Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 2.09.1943
Phone: +7 (499) 941 01 92, +7 (495) 984 81 41 * 36 32
E-mail:
Website: https://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.

Main publications:

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

Recent publications

Presentations in Math-Net.Ru

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Organisations:

• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
• Steklov International Mathematical Center
• National Research University Higher School of Economics, Moscow
• Moscow Mathematical Society