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ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
13 years 8 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
ICS
2010
Tsinghua U.
14 years 20 days ago
Bounds on the Quantum Satisfiability Threshold
Quantum k-SAT is the problem of deciding whether there is a n-qubit state which is perpendicular to a set of vectors, each of which lies in the Hilbert space of k qubits. Equivale...
Sergey Bravyi, Cristopher Moore, Alexander Russell
CORR
2002
Springer
102views Education» more  CORR 2002»
13 years 8 months ago
Quantum Lower Bound for Recursive Fourier Sampling
One of the earliest quantum algorithms was discovered by Bernstein and Vazirani, for a problem called Recursive Fourier Sampling. This paper shows that the Bernstein-Vazirani algo...
Scott Aaronson
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 8 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
ASPDAC
2005
ACM
80views Hardware» more  ASPDAC 2005»
13 years 10 months ago
Synthesis of quantum logic circuits
— The pressure of fundamental limits on classical computation and the promise of exponential speedups from quantum effects have recently brought quantum circuits to the attention...
Vivek V. Shende, Stephen S. Bullock, Igor L. Marko...