Estimates for discontinuity jumps of information characteristics of quantum systems and channels
M. E. Shirokov
Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
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.
|Russian Science Foundation
|The research was carried out at the expense of the Russian Science Foundation, project no. 14-21-00162.
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Problems of Information Transmission, 2016, 52:3, 239–264
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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\paper Estimates for discontinuity jumps of information characteristics of quantum systems and channels
\jour Probl. Peredachi Inf.
\jour Problems of Information Transmission
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