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Craig66

Registered: Sep 2006
Posts: 191

11-20-09 10:10 PM

Now here is the last one again, except this time using % change as suggested, slightly more conformity to the shape of the theoretical curve can be seen at the top of the curve.

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Craig66

Registered: Sep 2006
Posts: 191

11-20-09 10:15 PM

Here is the percentage graph again, this time out to 5000 steps, it does not appear the drift is eliminated by using percentages, though I may be misinterpreting MAESTROs post.

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Craig66

Registered: Sep 2006
Posts: 191

11-20-09 11:53 PM

OK, giant leap into the unknown here, if I assume that my graphs are not in error, it seems that on larger timescales the relationship produced is linear with respect to time. A classical random walk has has a square root proportionality to time (or steps) as given by sqt(2 * n / pi). In my scant reading about Quantum Random Walks, it seems one of their properties is a linear proportionality to time (O(t) as opposed to O(sqt(t))), could this be what I am seeing in the graphs?

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