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Connecting the Discrete and Continuous-Time Quantum Walks
Published
Author(s)
Frederick Strauch
Abstract
Recently, quantized versions of random walks have been explored as effective elements for quantum algorithms. In the simplest case of one dimension, the theory has remained divided into the discrete-time quantum walk and the continuous-time quantum walk. Though the properties of these two walks have shown similarities, it has remained an open problem to find the exact relation between the two. The precise connection of these two processes, both quantally and classically, is presented. Extension to higher dimensions is also discussed.
Citation
Physical Review Letters
Pub Type
Journals
Keywords
quantum computation, quantum walk
Citation
Strauch, F.
(2008),
Connecting the Discrete and Continuous-Time Quantum Walks, Physical Review Letters
(Accessed October 28, 2025)