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ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
13 years 7 months ago
Quantum Separation of Local Search and Fixed Point Computation
In this paper, we give a lower bound of (n(d-1)/2 ) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [1 : n]d . Our bound is near...
Xi Chen, Xiaoming Sun, Shang-Hua Teng
STOC
1993
ACM
134views Algorithms» more  STOC 1993»
13 years 11 months ago
Quantum complexity theory
In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s...
Ethan Bernstein, Umesh V. Vazirani
JC
2007
94views more  JC 2007»
13 years 7 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou
CORR
2010
Springer
43views Education» more  CORR 2010»
13 years 4 months ago
Quantum query complexity of minor-closed graph properties
Andrew M. Childs, Robin Kothari
CORR
2007
Springer
116views Education» more  CORR 2007»
13 years 7 months ago
Complexity of some Path Problems in DAGs and Linear Orders
We investigate here the computational complexity of three natural problems in directed acyclic graphs. We prove their NP Completeness and consider their restrictions to linear orde...
Serge Burckel