Michelle Hackett | Murdoch University (original) (raw)
Papers by Michelle Hackett
Outskirts online journal, 2011
Social Enterprise Journal, 2010
Journal of Comparative Family Studies, 2011
This is the final draft of the paper published by the Journal of Comparative Family Studies in 20... more This is the final draft of the paper published by the Journal of Comparative Family Studies in 2011: Hackett, M. (2011) "Domestic violence against women: Statistical analysis of crimes
Masters Thesis, University of Adelaide, 2006
Physical Review A, 2003
The effect of unitary noise on the discrete one-dimensional quantum walk is studied using compute... more The effect of unitary noise on the discrete one-dimensional quantum walk is studied using computer simulations. For the noiseless quantum walk, starting at the origin (n=0) at time t=0, the position distribution Pt(n) at time t is very different from the Gaussian distribution obtained for the classical random walk. Furthermore, its standard deviation, sigma(t) scales as sigma(t) ~ t, unlike the classical random walk for which sigma(t) ~ sqrt{t}. It is shown that when the quantum walk is exposed to unitary noise, it exhibits a crossover from quantum behavior for short times to classical-like behavior for long times. The crossover time is found to be T ~ alpha^(-2) where alpha is the standard deviation of the noise.
Outskirts online journal, 2011
Social Enterprise Journal, 2010
Journal of Comparative Family Studies, 2011
This is the final draft of the paper published by the Journal of Comparative Family Studies in 20... more This is the final draft of the paper published by the Journal of Comparative Family Studies in 2011: Hackett, M. (2011) "Domestic violence against women: Statistical analysis of crimes
Masters Thesis, University of Adelaide, 2006
Physical Review A, 2003
The effect of unitary noise on the discrete one-dimensional quantum walk is studied using compute... more The effect of unitary noise on the discrete one-dimensional quantum walk is studied using computer simulations. For the noiseless quantum walk, starting at the origin (n=0) at time t=0, the position distribution Pt(n) at time t is very different from the Gaussian distribution obtained for the classical random walk. Furthermore, its standard deviation, sigma(t) scales as sigma(t) ~ t, unlike the classical random walk for which sigma(t) ~ sqrt{t}. It is shown that when the quantum walk is exposed to unitary noise, it exhibits a crossover from quantum behavior for short times to classical-like behavior for long times. The crossover time is found to be T ~ alpha^(-2) where alpha is the standard deviation of the noise.