Speciality: 01.01.05 (Probability theory and mathematical statistics)
Phone: +7 (495) 984 81 41 * 36 32
E-mail:
Website: https://www.mi.ras.ru/~msh
Keywords: infinite-dimensional quantum systems, strong convergence of quantum channels, strong* convergence of quantum channels, energy-constrained diamond norms, operator E-norms, uniform continuity bounds, quantum zero-error capacity, entanglement monotone, convex stable sets, mu-compact sets
UDC: 517.982, 517.982.25, 519.2, 519.248.3, 519.722, 621.391.1, 519.7

Subject:

Quantum information theory. Mathematical physics. Convex analysis.

Main publications:

1. M. E. Shirokov, “The Holevo capacity of infinite dimensional channels and the additivity problem”, Comm. Math. Phys., 262 (2006), 137–159        
2. M.E. Shirokov, “Continuity of the von Neumann entropy”, Comm. Math. Phys., 296:3 (2010), 625–654
3. V. Yu. Protasov, M. E. Shirokov, “Generalized compactness in linear spaces and its applications”, Sbornik:Mathematics, 200:5 (2009), 697–722
4. M. E. Shirokov, “Strong convergence of quantum channels: Continuity of the Stinespring dilation and discontinuity of the unitary dilation”, Journal of Mathematical Physics, 61 (2020), 82204
5. M. E. Shirokov, “On channels with positive quantum zero-error capacity having vanishing n-shot capacity”, Quantum Inf. Process., 14:8 (2015), 3057–3074

Recent publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
• Steklov International Mathematical Center
• Lomonosov Moscow State University
• Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region