Regensburg 2022 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 6: Quantum Information: Concepts and Methods

QI 6.6: Vortrag

Dienstag, 6. September 2022, 11:15–11:30, H9

An algorithm to factorize quantum walks into shift and coin operations — •Christopher Cedzich¹, Tobias Geib², and Reinhard F. Werner² — ¹Quantum Technology Group, Heinrich Heine Universität Düsseldorf, Universitätsstr. 1, 40225 Düsseldorf — ²Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstr. 2, 30167 Hannover

Quantum walks provide a basic architecture for implementing quantum information processing and computing. It is therefore important to resolve a given task into available operations, i.e., to "compile" a targeted program. We provide such a method, showing that an arbitrary one-dimensional quantum operation can be resolved 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.