One-dimensional continuous-time quantum walks

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dc.creatorben-Avraham, D.
dc.creatorBollt, E.
dc.creatorTamon, C.
dc.date2004-09-20
dc.date.accessioned2026-07-07T03:00:55Z
dc.date.available2026-07-07T03:00:55Z
dc.descriptionWe survey the equations of continuous-time quantum walks on simple one-dimensional lattices, which include the finite and infinite lines and the finite cycle, and compare them with the classical continuous-time Markov chains. The focus of our expository article is on analyzing these processes using the Laplace transform on the stochastic recurrences. The resulting time evolution equations, classical versus quantum, are strikingly similar in form, although dissimilar in behavior. We also provide comparisons with analyses performed using spectral methods.
dc.description10 pages, 4 figures, to appear in Quantum Information Processing
dc.identifierhttps://arxiv.org/abs/cond-mat/0409514
dc.identifierhttp://arxiv.org/abs/cond-mat/0409514
dc.identifierQuantum Information Processing 3, 295-308 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24903
dc.subjectOther Condensed Matter
dc.subjectQuantum Physics
dc.titleOne-dimensional continuous-time quantum walks
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