An Introduction to Quantum Complexity Theory
Quantum Physics
2016-11-23 v1
Abstract
We give a basic overview of computational complexity, query complexity, and communication complexity, with quantum information incorporated into each of these scenarios. The aim is to provide simple but clear definitions, and to highlight the interplay between the three scenarios and currently-known quantum algorithms.
Cite
@article{arxiv.quant-ph/9906111,
title = {An Introduction to Quantum Complexity Theory},
author = {Richard Cleve},
journal= {arXiv preprint arXiv:quant-ph/9906111},
year = {2016}
}
Comments
28 pages, LaTeX, 11 figures within the text, to appear in "Collected Papers on Quantum Computation and Quantum Information Theory", edited by C. Macchiavello, G.M. Palma, and A. Zeilinger (World Scientific)