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FOCS
2006
IEEE
14 years 2 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
CORR
2010
Springer
93views Education» more  CORR 2010»
13 years 9 months ago
Parallelized Solution to Semidefinite Programmings in Quantum Complexity Theory
In this paper we present an equilibrium value based framework for solving SDPs via the multiplicative weight update method which is different from the one in Kale's thesis [K...
Xiaodi Wu
DAC
2002
ACM
14 years 9 months ago
Transformation rules for designing CNOT-based quantum circuits
This paper gives a simple but nontrivial set of local transformation rules for Control-NOT(CNOT)-based combinatorial circuits. It is shown that this rule set is complete, namely, ...
Kazuo Iwama, Yahiko Kambayashi, Shigeru Yamashita
STOC
2000
ACM
55views Algorithms» more  STOC 2000»
14 years 1 months ago
Self-testing of universal and fault-tolerant sets of quantum gates
We consider the design of self-testers for quantum gates. A self-tester for the gates F 1, . . . , F m is a procedure that, given any gates G1, . . . , Gm, decides with high probab...
Wim van Dam, Frédéric Magniez, Miche...
SIAMSC
2010
117views more  SIAMSC 2010»
13 years 7 months ago
Least-Squares Finite Element Methods for Quantum Electrodynamics
A significant amount of the computational time in large Monte Carlo simulations of lattice field theory is spent inverting the discrete Dirac operator. Unfortunately, traditional...
James J. Brannick, C. Ketelsen, Thomas A. Manteuff...