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STOC
2004
ACM
153views Algorithms» more  STOC 2004»
16 years 2 months ago
Quantum and classical query complexities of local search are polynomially related
Let f be an integer valued function on a finite set V . We call an undirected graph G(V, E) a neighborhood structure for f. The problem of finding a local minimum for f can be phr...
Miklos Santha, Mario Szegedy
157
Voted
COCO
2000
Springer
161views Algorithms» more  COCO 2000»
15 years 6 months ago
Characterization of Non-Deterministic Quantum Query and Quantum Communication Complexity
It is known that the classical and quantum query complexities of a total Boolean function f are polynomially related to the degree of its representing polynomial, but the optimal ...
Ronald de Wolf
STOC
2004
ACM
142views Algorithms» more  STOC 2004»
16 years 2 months ago
Lower bounds for local search by quantum arguments
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
Scott Aaronson
92
Voted
STACS
2005
Springer
15 years 7 months ago
Robust Polynomials and Quantum Algorithms
We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We ...
Harry Buhrman, Ilan Newman, Hein Röhrig, Rona...
COCO
2004
Springer
185views Algorithms» more  COCO 2004»
15 years 5 months ago
Limitations of Quantum Advice and One-Way Communication
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Scott Aaronson