28 search results - page 1 / 6 » Polynomial Degree vs. Quantum Query Complexity |
FOCS
2003
IEEE
13 years 10 months ago
2003
IEEE
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
COCO
2000
Springer
13 years 9 months ago
2000
Springer
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 ...
STACS
2005
Springer
13 years 10 months ago
2005
Springer
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 ...
CORR
2010
Springer
13 years 5 months ago
2010
Springer
We present several new examples of speed-ups obtainable by quantum algorithms in the context of property testing. First, motivated by sampling algorithms, we consider probability d...
ALGORITHMICA
2002
13 years 4 months ago
2002
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...