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On Compound State and Mutual Information in Quantum Information Theory

Masanori Ohya
- 01 Jan 1983 - 
- Vol. 29, Iss: 5, pp 770-774
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TLDR
A quantum mechanical compound state of an input state and its output state generated through a communication channel is constructed and its fundamental properties are studied.
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This article is published in IEEE Transactions on Information Theory.The article was published on 1983-01-01 and is currently open access. It has received 100 citations till now. The article focuses on the topics: Quantum mutual information & Coherent information.

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Distinguishability and Accessible Information in Quantum Theory

TL;DR: This document focuses on translating various information-theoretic measures of distinguishability for probability distributions into measures of distin- guishability for quantum states, and gives a way of expressing the problem so that it appears as algebraic as that of the problem of finding quantum distinguishability measures.
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On the relative entropy

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Compound Channels, Transition Expectations, and Liftings

TL;DR: In this paper, the notion of lifting was introduced as a generalization of the compound state introduced in [21] and [22] and it allows a unified approach to the problems of quantum measurement and signal transmission through quantum channels.
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TL;DR: In this paper, the concept of complexity in information dynamics is discussed and the chaos degree defined by the complexity is applied to examine chaotic behavior of logistic map in information dynamics.
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Quantum-Like Model for Decision Making Process in Two Players Game: A Non-Kolmogorovian Model

TL;DR: In this paper, a non-Kolmogorovian model for decision-making process in two-player game is proposed, which is based on a Quantum-Like Model for Decision Making Process in Two Players Game.
References
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Journal ArticleDOI

Quantum-mechanical communication theory

TL;DR: In this paper, the problem of finding the structure and performance of the receiver that yields the best performance in the reception of signals that are described quantum-mechanically is discussed, with the laws of quantum mechanics taken into account.
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Quantum information theory

TL;DR: In this paper, a generalization of the classical information theory of Shannon to the quantum case has been proposed, which is based on the generalized quantum mechanics of open systems and the generalized concept of observable (semiobservable) concepts.
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Sufficiency, KMS condition and relative entropy in von Neumann algebras.

TL;DR: In this article, the concept of sufficiency is more or less considered through the informativity of a certain subalgebra with respect to a given alge- bra for a dynamical system of interest.