Literature

Resource Letter ITP-1: Information Theory in Physics
W. T. Grandy, Jr.
Department of Physics and Astronomy, University of Wyoming, Laramie, Wyoming 82071
Am. J. Phys. Vol. 65, No. 6, Jun 1997, Pages 466-476
(Received 25 November 1996; accepted 11 February 1997)

This Resource Letter provides a guide to the literature on the role of information theory in physics. Journal articles and books are cited for the following topics: early history, physical and mathematical connections, and a broad range of physical applications.

Quantum Computing
Andrew Steane
Clarendon Laboratory, Oxford University
Rep. Prog. Phys. Vol. 61 (1998), Pages 117-173
E-print quant-ph/9708022 at xxx.lanl.gov
Comments: This is a review at a level suitable for physicists new to the subject, such as graduate students.

The subject of quantum computing brings together ideas from classical information theory, computer science, and quantum physics. This review aims to summarise not just quantum computing, but the whole subject of quantum information theory. It turns out that information theory and quantum mechanics fit together very well. In order to explain their relationship, the review begins with an introduction to classical information theory and computer science, including Shannon's theorem, error correcting codes, Turing machines and computational complexity. The principles of quantum mechanics are then outlined, and the EPR experiment described. The EPR-Bell correlations, and quantum entanglement in general, form the essential new ingredient which distinguishes quantum from classical information theory, and, arguably, quantum from classical physics. Basic quantum information ideas are described, including key distribution, teleportation, data compression, quantum error correction, the universal quantum computer and quantum algorithms. The common theme of all these ideas is the use of quantum entanglement as a computational resource. Experimental methods for small quantum processors are briefly sketched, concentrating on ion traps, high Q cavities, and NMR. The review concludes with an outline of the main features of quantum information physics, and avenues for future research.

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