Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  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-por and number of bits N are varied, and por-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-por values.  discuss whether this shift might be connected to arguments in the literature that suggest that altering the Hamiltonian path might benefit QuAdS performance. © 2008 Wiley Periodicals, Inc. Complexity, 2009#R##N##R##N#This article was submitted as an invited paper to the “Understanding Complex Systems” conference held at the University of Illinois at Urbana-Champaign,May 2007
['Frank Gaitan']
I am writing a research paper on a idea Noise-induced sampling of alternative Hamiltonian paths in quantum adiabatic search
[{"from": "human", "value": "I am writing a research paper on a idea Noise-induced sampling of alternative Hamiltonian paths in quantum adiabatic search"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  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-por and number of bits N are varied, and por-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-por values.  discuss whether this shift might be connected to arguments in the literature that suggest that altering the Hamiltonian path might benefit QuAdS performance. \u00a9 2008 Wiley Periodicals, Inc. Complexity, 2009#R##N##R##N#This article was submitted as an invited paper to the \u201cUnderstanding Complex Systems\u201d conference held at the University of Illinois at Urbana-Champaign,May 2007"}]