A new quantum lower bound method, with an application to strong direct product theorem for quantum search
Quantum Physics
2007-05-23 v2 Computational Complexity
Abstract
We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of adversary method, by analyzing the eigenspace structure of the problem. Using the new method, we prove a strong direct product theorem for quantum search. This result was previously proven by Klauck, Spalek and de Wolf (quant-ph/0402123) using polynomials method. No proof using adversary method was known before.
Keywords
Cite
@article{arxiv.quant-ph/0508200,
title = {A new quantum lower bound method, with an application to strong direct product theorem for quantum search},
author = {Andris Ambainis},
journal= {arXiv preprint arXiv:quant-ph/0508200},
year = {2007}
}
Comments
20 pages, v2 typos corrected