A Mathematical Theory of Communication
by Claude Shannon
Number of pages: 79
The person who wrote this paper is the father of modern communication theory, Claude Shannon. In this seminal work Shannon presents results that were previously found nowhere else, and today many professors refer to it as the best exposition still on the subject of the mathematical limits on communication (such as bandwidth). Further, it laid the modern foundations for what is now coined Information Theory. Classic work.
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by Matt Mahoney - mattmahoney.net
This book is for the reader who wants to understand how data compression works, or who wants to write data compression software. Prior programming ability and some math skills will be needed. This book is intended to be self contained.
by Mark M. Wilde - arXiv
The aim of this book is to develop 'from the ground up' many of the major developments in quantum Shannon theory. We study quantum mechanics for quantum information theory, we give important unit protocols of teleportation, super-dense coding, etc.
by Gregory. J. Chaitin - Cambridge University Press
The book presents the strongest possible version of Gödel's incompleteness theorem, using an information-theoretic approach based on the size of computer programs. The author tried to present the material in the most direct fashion possible.
by John Watrous - University of Calgary
The focus is on the mathematical theory of quantum information. We will begin with basic principles and methods for reasoning about quantum information, and then move on to a discussion of various results concerning quantum information.