Algorithms for Quantum Computers

Details Algorithms for Quantum Computers Algorithms for Quantum Computers

2010-01-05

arxiv.org/abs/1001.0767v2

Physics

Quantum Physics

48 pages. Part of the "Handbook of Natural Computing," upcoming from Springer Verlag. Corrected and updated author details and

Scientific paper

This paper surveys the field of quantum computer algorithms. It gives a taste of both the breadth and the depth of the known algorithms for quantum computers, focusing on some of the more recent results. It begins with a brief review of quantum Fourier transform based algorithms, followed by quantum searching and some of its early generalizations. It continues with a more in-depth description of two more recent developments: algorithms developed in the quantum walk paradigm, followed by tensor network evaluation algorithms (which include approximating the Tutte polynomial).

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