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Mat. Zametki, 2016, Volume 99, Issue 6, Pages 929–932 (Mi mz11032)  

Brief Communications

Structure of the Algebra Generated by a Noncommutative Operator Graph which Demonstrates the Superactivation Phenomenon for Zero-Error Capacity

G. G. Amosova, I. Yu. Zhdanovskiibc

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
c National Research University "Higher School of Economics" (HSE), Moscow

Keywords: von Neumann algebra, noncommutative operator graph, superactivation phenomenon, quantum channel, quantum state, Kraus operator.

Funding Agency Grant Number
Russian Science Foundation 14-21-00162
Russian Foundation for Basic Research 13-01-00234
14-01-00416
The work of the first author was supported by the Russian Science Foundation under grant 14-21-00162 in the Steklov Mathematical Institute of the Russian Academy of Sciences.
The work of the second author was supported by the Russian Foundation for Basic Research under grants 13-01-00234 and 14-01-00416 and in the framework of a subsidy granted to the National Research University Higher School of Economics by the Government of the Russian Federation for the implementation of the Global Competitiveness Program.


DOI: https://doi.org/10.4213/mzm11032

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English version:
Mathematical Notes, 2016, 99:6, 924–927

Bibliographic databases:

Received: 15.12.2015

Citation: G. G. Amosov, I. Yu. Zhdanovskii, “Structure of the Algebra Generated by a Noncommutative Operator Graph which Demonstrates the Superactivation Phenomenon for Zero-Error Capacity”, Mat. Zametki, 99:6 (2016), 929–932; Math. Notes, 99:6 (2016), 924–927

Citation in format AMSBIB
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