dorsal/arxiv
View SchemaConnecting the discrete and continuous-time quantum walks
| Authors | Frederick W. Strauch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606050 |
| URL | https://arxiv.org/abs/quant-ph/0606050 |
| DOI | 10.1103/PhysRevA.74.030301 |
| Journal | Phys. Rev. A 74, 030301 (R) (2006) |
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.
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"abstract": "Recently, quantized versions of random walks have been explored as effective\nelements for quantum algorithms. In the simplest case of one dimension, the\ntheory has remained divided into the discrete-time quantum walk and the\ncontinuous-time quantum walk. Though the properties of these two walks have\nshown similarities, it has remained an open problem to find the exact relation\nbetween the two. The precise connection of these two processes, both quantally\nand classically, is presented. Extension to higher dimensions is also\ndiscussed.",
"arxiv_id": "quant-ph/0606050",
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"doi": "10.1103/PhysRevA.74.030301",
"journal_ref": "Phys. Rev. A 74, 030301 (R) (2006)",
"title": "Connecting the discrete and continuous-time quantum walks",
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