Quantum Physics
[Submitted on 17 Jul 2007 (v1), last revised 1 Oct 2008 (this version, v2)]
Title:Noise-Induced Sampling of Alternative Hamiltonian Paths in Quantum Adiabatic Search
View PDFAbstract: We numerically simulate the effects of noise-induced sampling of alternative Hamiltonian paths on the ability of quantum adiabatic search (QuAdS) to solve randomly generated instances of the NP-Complete problem N-bit Exact Cover 3. The noise-averaged median runtime is determined as the noise-power and number of bits N are varied, and power-law and exponential fits are made to the data. Noise is seen to slowdown QuAdS, though a downward shift in the scaling exponent is found for N > 12 over a range of noise-power values. We discuss whether this shift might be connected to arguments in the literature that suggest that altering the Hamiltonian path might benefit QuAdS performance.
Submission history
From: Frank Gaitan [view email][v1] Tue, 17 Jul 2007 02:57:05 UTC (617 KB)
[v2] Wed, 1 Oct 2008 14:29:21 UTC (612 KB)
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