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An algorithm to factorize quantum walks into shift and coin operations

Letters in Mathematical Physics, ISSN: 1573-0530, Vol: 112, Issue: 5
2022
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Article Description

We provide an algorithm that factorizes one-dimensional quantum walks on an arbitrary but fixed cell structure 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 set-up 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 on a qubit chain.

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