Titlebook: Quantum Information Theory; Mathematical Foundat Masahito Hayashi Textbook 2017Latest edition Springer-Verlag Berlin Heidelberg 2017 Classi

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its higher performance, lower cost, and sustained productivity [148]. To solve a computationally intensive problem efficiently on a cluster of existing computers, distributed computing involves a significantly lower cost factor [156]. Although it is difficult for a distributed computing user to ach

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Textbook 2017Latest editioncs from both information-theoretic and quantum- mechanical viewpoints and provides  lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (qua

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1868-4513 on.Supports learning with 450 exercises.Covers recent progre.This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides  lucid

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Quantum Measurements and State Reduction,cs, as described in Sect. .. Starting with the formulation of quantum mechanics given in Sects. . and ., we give a detailed formulation of the state reduction due to a measurement. In Sect. ., we discuss the relation with the uncertainty relation using these concepts. Finally, in Sect. ., we propose a measurement with negligible state reduction.

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Mathematical Formulation of Quantum Systems, is necessary to understand these topics since they form the foundation of quantum information processing discussed later. In the first section, we cover the fundamentals of linear algebra and introduce some notation. The next section describes the formulation of quantum mechanics. Further, we exami

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Information Quantities and Parameter Estimation in Classical Systems,s chapter briefly summarizes the fundamentals of these topics from a unified viewpoint. Since these topics are usually treated individually, this chapter will be useful even for nonquantum applications.

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Classical-Quantum Channel Coding (Message Transmission), therefore it might be expected that information will be transmitted incorrectly. In practice, however, such problems can be avoided entirely. How is this possible? For explaining this, let us say that we send some information that is either 0 or 1. Now, let us say that the sender and receiver agree

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