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Birkhäuser - Birkhäuser Computer Science | An Introduction to Quantum Computing Algorithms

An Introduction to Quantum Computing Algorithms

Pittenger, Arthur O.

2000, XII, 140 p.

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In 1994 Peter Shor [65] published a factoring algorithm for a quantum computer that finds the prime factors of a composite integer N more efficiently than is possible with the known algorithms for a classical com­ puter. Since the difficulty of the factoring problem is crucial for the se­ curity of a public key encryption system, interest (and funding) in quan­ tum computing and quantum computation suddenly blossomed. Quan­ tum computing had arrived. The study of the role of quantum mechanics in the theory of computa­ tion seems to have begun in the early 1980s with the publications of Paul Benioff [6]' [7] who considered a quantum mechanical model of computers and the computation process. A related question was discussed shortly thereafter by Richard Feynman [35] who began from a different perspec­ tive by asking what kind of computer should be used to simulate physics. His analysis led him to the belief that with a suitable class of "quantum machines" one could imitate any quantum system.

Content Level » Research

Keywords » Grover's algorithm - SPIN - Text - algorithms - logic - quantum algorithm - quantum computer - quantum computing - quantum error correction - quantum gate - qubit - sets

Related subjects » Birkhäuser Computer Science - Birkhäuser Mathematics - Birkhäuser Physics

Table of contents 

[see attached for complete TOC] Preface * Acknowledgements * 1. Quantum Statics * 2. Basics of Quantum Computation * 3. Quantum Algorithms * 4. Quantum Error-Correcting Codes * Afterword * References * Index

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