Coined quantum walks on the line are classified modulo distributional equivalence by a few angles, and their closed-form amplitudes are corrected and linked to classical correlated walks.
This technique has first been applied by Nayak and Vishwanath [23] to the Hadamard walk and is also suitable for more general quantum walks (see also [16])
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Classification of coined quantum walks on the line and comparison to correlated classical random walks
Coined quantum walks on the line are classified modulo distributional equivalence by a few angles, and their closed-form amplitudes are corrected and linked to classical correlated walks.