Alexander Semenovich Holevo, Workshop on: QUANTUM INFORMATION PROCESSING FOR QUANTUM COMMUNICATIONS

Workshop on QUANTUM INFORMATION PROCESSING AND QUANTUM COMMUNICATIONS
Quantum Information Processing and Quantum Communications Anatomy of additivity for multiplicativity breaking channel
aula 102 - Martedì 1 giugno ore 14.00
	ALEXANDER SEMENOVICH HOLEVO, Steklov Mathematical Institute of Moscow
>VITAE: Alexander Semenovich Holevo (Kholevo) Professor at the Steklov Mathematical Institute of Moscow, expert of Information Theory, Quantum Measurements, Quantum and Classical Stochastic processes, and Open Quantum Systems. Author of the two popular books: "Probabilistic and Statistical Aspects of Quantum Theory" and "Statistical Structure of Quantum Theory". He is expecially known among physicists of Quantum Information for the Holevo Bound for mutual information, for his studies on capacities ofchannels and for his works on covariant measurements.
Abstract
	A survey of current approaches to the famous additivity/multiplicativity problem in quantum information theory is given. A direct proof of the additivity of the minimum output entropy for a particularly interesting quantum channel which breaks the multiplicativity conjecture is suggested. The proof relies heavily upon certain concavity properties of the output entropy which are of independent interest.