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» Quantum lower bounds for the Goldreich-Levin problem
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2008
75views more  TOC 2008»
14 years 9 months ago
A Quantum Algorithm for the Hamiltonian NAND Tree
Abstract: We give a quantum algorithm for the binary NAND tree problem in the Hamiltonian oracle model. The algorithm uses a continuous time quantum walk with a running time propor...
Edward Farhi, Jeffrey Goldstone, Sam Gutmann
FCT
2007
Springer
15 years 3 months ago
The Quantum Query Complexity of Algebraic Properties
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
Sebastian Dörn, Thomas Thierauf
COCOON
2005
Springer
15 years 3 months ago
Promised and Distributed Quantum Search
This paper gives a quantum algorithm to search in an set S for a k-tuple satisfying some predefined relation, with the promise that some components of a desired k-tuple are in som...
Shengyu Zhang
COCOON
2008
Springer
14 years 11 months ago
Multi-party Quantum Communication Complexity with Routed Messages
This paper describes a general quantum lower bounding technique for the communication complexity of a function that depends on the inputs given to two parties connected via paths,...
Seiichiro Tani, Masaki Nakanishi, Shigeru Yamashit...
COCO
2004
Springer
185views Algorithms» more  COCO 2004»
15 years 1 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