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» The Quantum Adversary Method and Classical Formula Size Lowe...
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STOC
2004
ACM
142views Algorithms» more  STOC 2004»
14 years 4 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
COCO
2004
Springer
121views Algorithms» more  COCO 2004»
13 years 9 months ago
Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments
We prove a very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply. To achieve this, we introduce the use of Kolm...
Sophie Laplante, Frédéric Magniez