Limit Theorems For the Grover Walk Without Memory

Details Limit Theorems For the Grover Walk Without Memory Limit Theorems For the Grover Walk Without Memory

2011-08-20

arxiv.org/abs/1108.4149v1

Physics

Mathematical Physics

15 pages, contains an extreme open problem

Scientific paper

We consider the Grover walk as a 4-state quantum walk without memory in one
dimension. The walker in our 4-state quantum walk moves to the left or right.
We compute the stationary distribution of the walk, in addition, we obtain the
weak limit theorem

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