Quantum query algorithms and lower bounds

2007 ◽  
pp. 15-32 ◽  
Author(s):  
Andris Ambainis
Keyword(s):  
Lower Bounds ◽  
Quantum Query ◽  
Query Algorithms

scholarly journals Quantum Query Algorithms Are Completely Bounded Forms

2019 ◽  
Vol 48 (3) ◽  
pp. 903-925 ◽  
Author(s):  
Srinivasan Arunachalam ◽  
Jop Briët ◽  
Carlos Palazuelos
Keyword(s):  
Quantum Query ◽  
Query Algorithms

Improved Quantum Query Algorithms for Triangle Detection and Associativity Testing

Algorithmica ◽  
2015 ◽  
Vol 77 (2) ◽  
pp. 459-486 ◽  
Author(s):  
Troy Lee ◽  
Frédéric Magniez ◽  
Miklos Santha
Keyword(s):  
Quantum Query ◽  
Query Algorithms

Span Programs are Equivalent to Quantum Query Algorithms

2014 ◽  
Vol 43 (3) ◽  
pp. 1206-1219 ◽  
Author(s):  
Ben W. Reichardt
Keyword(s):  
Span Programs ◽  
Quantum Query ◽  
Query Algorithms

Quantum collision-resistance of non-uniformly distributed functions: upper and lower bounds

2018 ◽  
Vol 18 (15&16) ◽  
pp. 1332-1349
Author(s):  
Ehsan Ebrahimi ◽  
Dominique Unruh
Keyword(s):  
Lower Bound ◽  
Uniform Distribution ◽  
Lower Bounds ◽  
Upper Bounds ◽  
Query Complexity ◽  
Upper And Lower Bounds ◽  
Collision Resistance ◽  
Quantum Query Complexity ◽  
Quantum Query

We study the quantum query complexity of finding a collision for a function f whose outputs are chosen according to a non-uniform distribution D. We derive some upper bounds and lower bounds depending on the min-entropy and the collision-entropy of D. In particular, we improve the previous lower bound by Ebrahimi Targhi et al. from \Omega(2^{k/9}) to \Omega(2^{k/5}) where k is the min-entropy of D.

Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments

2008 ◽  
Vol 38 (1) ◽  
pp. 46-62 ◽  
Author(s):  
Sophie Laplante ◽  
Frédéric Magniez
Keyword(s):  
Lower Bounds ◽  
Query Complexity ◽  
Quantum Query Complexity ◽  
Quantum Query

scholarly journals Optimal Parallel Quantum Query Algorithms

2014 ◽  
pp. 592-604 ◽  
Author(s):  
Stacey Jeffery ◽  
Frederic Magniez ◽  
Ronald de Wolf
Keyword(s):  
Quantum Query ◽  
Query Algorithms
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