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Coherent information
About: Coherent information is a research topic. Over the lifetime, 1225 publications have been published within this topic receiving 46672 citations.
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TL;DR: Deterministic quantum systems which are established with deterministic information can be regarded as solutions to the debate between Bohr and Einstein and the measurement problem of quantum mechanics because of their deterministic nature and their quantum structure.
3 citations
TL;DR: In this article, the authors address the problem of information completeness of quantum measurements in connection to quantum state tomography and with particular concern to quantum symplectic tomography, and introduce a measure of information incompleteness and apply it to symplectic quantum tomograms.
3 citations
TL;DR: In this paper, it was shown that the dynamical entropy is robust to local positive operator-valued measurements for the shift on a quantum spin chain and gauge-invariant ones for a Fermion chain.
Abstract: When quantifying the mixing properties of a quantum dynamical system in terms of dynamical entropy, the following scheme appears natural: observe the state of the system at regular time intervals while it evolves and determine the entropy produced over time It is clear that this entropy will not only depend on the type of dynamics, but also on the type of observations Intuitively, one can expect that some measurements are better suited than others to reveal information about the dynamics, whereas many will generate undesirable noise In this paper, we show for two widely used model systems that the dynamical entropy is rather robust in this respect More precisely, general local positive operator-valued measurements may be restricted to von Neumann-type measurements for the shift on a quantum spin chain and gauge-invariant ones for the shift on a Fermion chain
3 citations
TL;DR: It is shown that the information content of a correlation can be expanded into correlations between pairwise components and demonstrated that in terms of this information-based measure of correlation the GHZ states are the only states that simultaneously optimise these pairwise correlations for systems of qubits.
Abstract: The mutual information has been successfully used as a measure of correlation strength between quantum systems, especially for bipartite systems Here, we examine the use of this measure for multipartite quantum systems For system of qubits, we find that the difference between `classical' and `quantum' regimes of correlation strength amounts to just 1 bit of information, at most We show that the information content of a correlation can be expanded into correlations between pairwise components and demonstrate that in terms of this information-based measure of correlation the GHZ states are the only states that simultaneously optimise these pairwise correlations for systems of qubits
3 citations
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TL;DR: By the monotonicity property, the lower bound of Pinsker type in terms of the trace norm distance is obtained for the Tsallis relative q-entropy of order q = 1/2.
Abstract: Generalizations of the quantum Fano inequality are considered. The notion of $q$-entropy exchange is introduced. This quantity is concave in each of its two arguments. For $q\geq0$, the inequality of Fano type with $q$-entropic functionals is established. The notion of coherent information and the perfect reversibility of a quantum operation are discussed in the context of $q$-entropies. By the monotonicity property, the lower bound of Pinsker type in terms of the trace norm distance is obtained for the Tsallis relative $q$-entropy of order $q=1/2$. For $0\leq{q}\leq2$, Fano type quantum inequalities with freely variable parameters are obtained.
3 citations