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  • Cited by 27
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2006
Online ISBN:
9780511813719
DOI:
https://doi.org/10.1017/CBO9780511813719
Subjects:
Physics and Astronomy, Computer Science, Communications, Information Theory and Security, Theoretical Physics and Mathematical Physics
Information

Book description

For many everyday transmissions, it is essential to protect digital information from noise or eavesdropping. This undergraduate introduction to error correction and cryptography is unique in devoting several chapters to quantum cryptography and quantum computing, thus providing a context in which ideas from mathematics and physics meet. By covering such topics as Shor's quantum factoring algorithm, this text informs the reader about current thinking in quantum information theory and encourages an appreciation of the connections between mathematics and science.Of particular interest are the potential impacts of quantum physics:(i) a quantum computer, if built, could crack our currently used public-key cryptosystems; and (ii) quantum cryptography promises to provide an alternative to these cryptosystems, basing its security on the laws of nature rather than on computational complexity. No prior knowledge of quantum mechanics is assumed, but students should have a basic knowledge of complex numbers, vectors, and matrices.

Reviews

‘The authors have combined the two ‘hot’ subjects of cryptography and coding, looking at each with regard to both classical and quantum models of computing and communication. These exciting topics are unified through the steady, consistent development of algebraic structures and techniques. Students who read this book will walk away with a broad exposure to both the theory and the concrete application of groups, finite fields, and vector spaces.’

Ben Lotto - Vassar College

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