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» Robust Polynomials and Quantum Algorithms
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STOC
1993
ACM
134views Algorithms» more  STOC 1993»
14 years 15 days ago
Quantum complexity theory
In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s...
Ethan Bernstein, Umesh V. Vazirani
COCO
2004
Springer
104views Algorithms» more  COCO 2004»
14 years 1 months ago
Quantum Arthur-Merlin Games
This paper studies quantum Arthur–Merlin games, which are Arthur–Merlin games in which Arthur and Merlin can perform quantum computations and Merlin can send Arthur quantum in...
Chris Marriott, John Watrous
SPAA
2003
ACM
14 years 1 months ago
The effect of communication costs in solid-state quantum computing architectures
Quantum computation has become an intriguing technology with which to attack difficult problems and to enhance system security. Quantum algorithms, however, have been analyzed un...
Dean Copsey, Mark Oskin, Tzvetan S. Metodi, Freder...
STACS
2000
Springer
13 years 12 months ago
Average-Case Quantum Query Complexity
Abstract. We compare classical and quantum query complexities of total Boolean functions. It is known that for worst-case complexity, the gap between quantum and classical can be a...
Andris Ambainis, Ronald de Wolf
TOC
2010
155views Management» more  TOC 2010»
13 years 3 months ago
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
Abstract: We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structur...
Andris Ambainis