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Probl. Peredachi Inf., 2016, Volume 52, Issue 3, Pages 45–72 (Mi ppi2211)  

Information Theory

Estimates for discontinuity jumps of information characteristics of quantum systems and channels

M. E. Shirokov

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Abstract: Quantitative analysis of discontinuity of information characteristics of quantum states and channels is presented. Estimates for discontinuity jump (loss) of the von Neumann entropy for a given converging sequence of states are obtained. It is shown, in particular, that for any sequence the loss of entropy is upper bounded by the loss of mean energy (with the coefficient characterizing the Hamiltonian of a system). Then we prove that discontinuity jumps of basic measures of classical and quantum correlations in composite quantum systems are upper bounded by the loss of one of the marginal entropies (with a corresponding coefficient). Quantitative discontinuity analysis of the output entropy of a quantum operation and of basic information characteristics of a quantum channel considered as functions of a pair (channel, input state) is presented.

Funding Agency Grant Number
Russian Science Foundation 14-21-00162
The research was carried out at the expense of the Russian Science Foundation, project no. 14-21-00162.


DOI: https://doi.org/10.1134/S0032946016030030

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English version:
Problems of Information Transmission, 2016, 52:3, 239–264

Bibliographic databases:

UDC: 621.391.1+519.7
Received: 24.02.2016

Citation: M. E. Shirokov, “Estimates for discontinuity jumps of information characteristics of quantum systems and channels”, Probl. Peredachi Inf., 52:3 (2016), 45–72; Problems of Information Transmission, 52:3 (2016), 239–264

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  • Проблемы передачи информации Problems of Information Transmission
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