Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Forthcoming seminars

You may need the following programs to see the files

Steklov Mathematical Institute Seminar
June 28, 2012 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)

The von Neumann entropy and quantum channels

M. E. Shirokov
Video records:
Flash Video 391.4 Mb
Flash Video 2,380.0 Mb
MP4 391.4 Mb

Number of views:
This page:1554
Video files:536
Youtube Video:

M. E. Shirokov
Photo Gallery

Видео не загружается в Ваш браузер:
  1. Установите Adobe Flash Player    

  2. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  3. Сообщите администратору портала о данной ошибке

Abstract: The improper properties of entropic characteristics of infinite dimensional quantum systems (among which the von Neumann entropy of a quantum state is the main one) represent a real obstacle for study of the informational capabilities of these systems. In this talk, we give a survey of the analytical properties of the von Neumann entropy and the results permitting to overcome problems associated with the entropy discontinuity and the non-compactness of the set of quantum states.
The main part of the talk is devoted to the properties of the output entropy of a quantum channel (non-commutative Markov map), through which the most information characteristics of a quantum channel, for example, its classical and quantum capacities are expressed. We, in particular, specify the necessary and sufficient conditions for continuity of the output entropy on the whole set of input states and on some its special subsets, and analyze relations between the local continuity properties of the output entropies of mutually complementary channels. Some concrete examples are also considered.

SHARE: FaceBook Twitter Livejournal
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017