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.
Download or read it online for free here:
by Peter D. Gruenwald, Paul M.B. Vitanyi - CWI
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We explain this quantitative approach to defining information and discuss the extent to which Kolmogorov's and Shannon's theory have a common purpose.
by Gregory J. Chaitin - World Scientic
In this mathematical autobiography, Gregory Chaitin presents a technical survey of his work and a non-technical discussion of its significance. The technical survey contains many new results, including a detailed discussion of LISP program size.
by Robert H. Schumann - arXiv
A short review of ideas in quantum information theory. Quantum mechanics is presented together with some useful tools for quantum mechanics of open systems. The treatment is pedagogical and suitable for beginning graduates in the field.
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.