Protecting Information From Classical Error Correction to Quantum Cryptography

Name: Protecting Information From Classical Error Correction to Quantum Cryptography
Price: 43.09 USD
Availability: InStock
ISBN: 9780521534765

ISBN-10: 0521534763

ISBN-13: 9780521534765

Edition: 2006

Authors: Susan Loepp, William K. Wootters

List price: $51.99

This item qualifies for FREE shipping.

30 day, 100% satisfaction guarantee!

Buy used: $43.09

Marketplace

2 new & used from $48.63

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Description:

In the transition of information storage, preventing noise and/or eavesdropping is essential. This undergraduate introduction to quantum computing focuses on error correction and cryptography, providing a context in which ideas about mathematics, computer science and physics meet together.

Book details

List price: $51.99
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 7/31/2006
Binding: Paperback
Pages: 304
Size: 6.22" wide x 9.25" long x 0.59" tall
Weight: 0.946
Language: English

Susan Loepp is an Associate Professor of Mathematics in the Department of Mathematics and Statistics at Williams College. Her research is in commutative algebra, focusing on completions of local rings.

William K. Wootters, a Fellow of the American Physical Society, is the Barclay Jermain Professor of Natural Philosophy in the Department of Physics at Williams College. He does research on quantum entanglement and other aspects of quantum information theory.



Preface


Acknowledgments



Cryptography: An Overview



Elementary Ciphers



Enigma



A Review of Modular Arithmetic and Z[subscript n]



The Hill Cipher



Attacks on the Hill Cipher



Feistel Ciphers and DES



A Word about AES



Diffie-Hellman Public Key Exchange



RSA



Public Key Exchanges with a Group



Public Key Exchange Using Elliptic Curves



Quantum Mechanics



Photon Polarization



Linear polarization



Review of complex numbers



Circular and elliptical polarization



General Quantum Variables



Composite Systems



Measuring a Subsystem



Other Incomplete Measurements



Quantum Cryptography



The Bennett-Brassard Protocol



The No-Cloning Theorem



Quantum Teleportation



An Introduction to Error-Correcting Codes



A Few Binary Examples



Preliminaries and More Examples



Hamming Distance



Linear Codes



Generator Matrices



Dual Codes



Syndrome Decoding



The Hat Problem



Quantum Cryptography Revisited



Error Correction for Quantum Key Distribution



Introduction to Privacy Amplification



Eve knows a fixed number of elements of the bit string



Eve knows the parities of certain subsets of the bit string



The general case



Generalized Reed-Solomon Codes



Definitions and Examples



A Finite Field with Eight Elements



General Theorems



A Generator Matrix for a GRS Code



The Dual of a GRS Code



Quantum Computing



Introduction



Quantum Gates



The Deutsch Algorithm



A Universal Set of Quantum Gates



Number Theory for Shor's Algorithm



Finding the Period of f(x)



Estimating the Probability of Success



Efficiency of Factoring



Introduction to Quantum Error Correction



An X-correcting code



A Z-correcting code



The Shor code






Fields



A Glossary of Linear Algebra Definitions and Theorems



Tables for the Alphabet


References


Index