Topic
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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17 Feb 1998TL;DR: This work has proved strengthened data processing inequality in quantum information theory and applied this results for proving a generalized H-theorem in non equilibrium thermodynamics.
Abstract: Strengthened Lindblad inequality has been proved. We have applied this results for proving a generalized H-theorem in non equilibrium thermodynamics. Information processing also can be considered as some thermodynamically process. From this point of view we have proved strengthened data processing inequality in quantum information theory.
1 citations
01 Jan 2013
TL;DR: The present paper deals with the study of relative entropy, mutual information and their properties in a quantum space (L, s), where L is an orthomodular lattice and s is a Bayesian state on it.
Abstract: The present paper deals with the study of relative entropy, mutual information and their properties in a quantum space (L, s), where L is an orthomodular lattice and s is a Bayesian state on it.
1 citations
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TL;DR: In this paper, the authors reformulate approximations of the quantum capacity by operator space norms and give both upper and lower bounds on quantum capacity, and potential quantum capacity using interpolation techniques.
Abstract: Quantum capacity, as the ultimate transmission rate of quantum communication, is characterized by regularized coherent information. In this work, we reformulate approximations of the quantum capacity by operator space norms and give both upper and lower bounds on quantum capacity, and potential quantum capacity using interpolation techniques. We identify a situation in which nice classes of channels satisfy a "comparison property" on entropy, coherent information and capacities. The paradigms for our estimates are so-called conditional expectations. These generally non-degradable channels admit a strongly additive expression for $Q^{(1)}$. We also identify conditions on channels showing that the "hashing bound" is optimal for the cb-entropy. These two estimates combined give upper and lower bounds on quantum capacity on our "nice" classes of channels, which differ only up to a factor 2, independent of the dimension. The estimates are discussed for certain classes of channels, including group channels, Pauli channels and other high-dimensional channels.
1 citations
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TL;DR: In this paper, the application of information theory in quantum physics by using the mathematical term-information gain, which does not diverge for the continuous probability distribution, is dealt with.
Abstract: The paper is dealing with the application of information theory in quantum physics by using the mathematical term-information gain, which does not diverge for the continuous probability distribution. It is shown that the information gain by localizing a particle is connected with its energy change. An equation for the wave function, which maximalizes the effectiveness of information gain about the coordinate of a particle with respect to its energy change is given.
1 citations