Measurement-induced quantum walks on an IBM quantum computer

We study a quantum walk of a single particle that is subject to stroboscopic projective measurements on a graph with two sites. This two-level system is the minimal model of a measurement-induced quantum walk. The mean first detected transition and return time are computed on an IBM quantum computer...

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Bibliographic Details
Published inPhysical review research Vol. 5; no. 3; p. 033089
Main Authors Tornow, Sabine, Ziegler, Klaus
Format Journal Article
LanguageEnglish
Published American Physical Society 01.08.2023
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Summary:We study a quantum walk of a single particle that is subject to stroboscopic projective measurements on a graph with two sites. This two-level system is the minimal model of a measurement-induced quantum walk. The mean first detected transition and return time are computed on an IBM quantum computer as a function of the hopping matrix element between the sites and the on-site potential. The experimentally monitored quantum walk reveals the theoretically predicted behavior, such as the quantization of the first detected return time and the strong increase of the mean first detected transition time near degenerate points, with high accuracy.
ISSN:2643-1564
2643-1564
DOI:10.1103/PhysRevResearch.5.033089