Quantum walks on cycles

Details Quantum walks on cycles Quantum walks on cycles

2003-04-16

arxiv.org/abs/quant-ph/0304113v1

Phys. Lett. A 317 (2003) 21

Physics

Quantum Physics

Scientific paper

We consider asymptotic behaviour of a Hadamard walk on a cycle. For a walk which starts with a state in which all the probability is concentrated on one node, we find the explicit formula for the limiting distribution and discuss its asymptotic behaviour when the length of the cycle tends to infinity. We also demonstrate that for a carefully chosen initial state, the limiting distribution of a quantum walk on cycle can lie further away from the uniform distribution than its initial state.

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