An algorithm to factorize quantum walks into shift and coin operations
Quantum Physics
2025-12-09 v1
Abstract
We provide an algorithm that factorizes one-dimensional quantum walks into a protocol of two basic operations: A fixed conditional shift that transports particles between cells and suitable coin operators that act locally in each cell. This allows to tailor quantum walk protocols to any experimental setup by rephrasing it on the cell structure determined by the experimental limitations. We give the example of a walk defined on a qutrit chain compiled to run an a qubit chain.
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Cite
@article{arxiv.2102.12951,
title = {An algorithm to factorize quantum walks into shift and coin operations},
author = {C. Cedzich and T. Geib and R. F. Werner},
journal= {arXiv preprint arXiv:2102.12951},
year = {2025}
}
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4 pages