Discrete-Time Quantum Random Walks on the N-ary Tree
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Abstract
We study discrete-time quantum random walks on the N-ary tree by a framework for discrete-time quantum random walks, this framework has no need for coin spaces, it just choose the evolution operator with no constraints other than unitarity, and contain path enumeration using regeneration structures and z transform. As a result, we calculate the generating function of the amplitude at the root in closed form.
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