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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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Book ChapterDOI
01 Jan 1981
TL;DR: The generalized measurable space (GMS) as mentioned in this paper is a generalised version of the Hilbert space quantum set theory, which is more general than a traditional Hilbert space and is distinct from the conventional Hilbert Space quantum mechanics.
Abstract: If a quantum logic16, 18, 21 admits hidden variables in a certain sense, then the resulting structure is called a “generalized measurable space”. Such a structure is more general than a traditional measurable space and is distinct from the conventional Hilbert space quantum mechanics. A generalized measurable space consists of a set Ω together with a collection of subsets C which form a α-orthocomplete orthomodular poset2 under set theoretic inclusion and complementation. We may think of (Ω, C) as giving a quantum set theory. Besides being of interest in quantum mechanics, there are possible applications of this theory to investigations in “elementary lengths”, pattern recognition, and computer science.1, 3, 5, 9, 12, 15, 22, 23, 24

4 citations

Posted Content
TL;DR: In this paper, the main quantum information measurement methods depend on whether the cor- responding quantum events are compatible or incompatible, and a general information scheme is proposed for a quantum-physical experiment.
Abstract: Basic quantum information measures involved in the information analysis of quantum systems are considered. It is shown that the main quantum information measurement methods depend on whether the cor- responding quantum events are compatible or incompatible. For purely quantum channels, the coherent and compatible information measures, which are qualitatively different, can be distinguished. A general information scheme is proposed for a quantum-physical experiment. In this scheme, informational optimization of an exper- imental setup is formulated as a mathematical problem.

4 citations

Journal ArticleDOI
TL;DR: It is shown that the amount of entropy-reduction that can be extracted from a quantum system by feedback controller is upper bounded by a sum of the decrease of entropy achievable in open-loop control and the mutual information between the quantum system and the controller.
Abstract: Fundamental limits on the controllability of quantum mechanical systems are discussed in the light of quantum information theory It is shown that the amount of entropy-reduction that can be extracted from a quantum system by feedback controller is upper bounded by a sum of the decrease of entropy achievable in open-loop control and the mutual information between the quantum system and the controller This upper bound sets a fundamental limit on the performance of any quantum controllers whose designs are based on the possibilities to attain low entropy states An application of this approach pertaining to quantum error correction is also discussed

4 citations

Journal ArticleDOI
Carl S. Helrich1
01 Sep 2006-Zygon
TL;DR: In this paper, a partially historical discussion of the basis of the quantum theory in nonmathematical terms using human knowledge and consciousness as an underlying theme is presented, and the philosophical position in both classical and quantum theory is the experimental and mathematical philosophy of Isaac Newton.
Abstract: . I present a partially historical discussion of the basis of the quantum theory in nonmathematical terms using human knowledge and consciousness as an underlying theme. I show that the philosophical position in both classical and quantum theory is the experimental and mathematical philosophy of Isaac Newton. Because almost all the systems we deal with are multicomponent, we must consider the limitations and openness imposed by thermodynamics on our claims in both classical and quantum treatments. Here the reality of measurement stands in the way of any simple picture but also provides the basis for considerations of free will. Particular care is taken with the concepts of quantum measurement, entanglement, and decoherence because of their importance in the discussion.

4 citations

Journal ArticleDOI
TL;DR: A model to study memory effects in quantum Gaussian channels with additive classical noise over an arbitrary number of uses confirms the possibility to enhance the classical information rate with the aid of entangled inputs, and shows a likely asymptotic behavior that should lead to the full capacity of the channel.
Abstract: We provide a model to study memory effects in quantum Gaussian channels with additive classical noise over an arbitrary number of uses. The correlation among different uses is introduced by contiguous two-mode interactions. Numerical results for few modes are presented. They confirm the possibility to enhance the classical information rate with the aid of entangled inputs, and show a likely asymptotic behavior that should lead to the full capacity of the channel.

4 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20234
202211
202122
202017
201923
201818