The meeting problem in the quantum random walk

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dc.creatorStefanak, M.
dc.creatorKiss, T.
dc.creatorJex, I.
dc.creatorMohring, B.
dc.date2007-05-14
dc.date.accessioned2026-07-07T08:01:27Z
dc.date.available2026-07-07T08:01:27Z
dc.descriptionWe study the motion of two non-interacting quantum particles performing a random walk on a line and analyze the probability that the two particles are detected at a particular position after a certain number of steps (meeting problem). The results are compared to the corresponding classical problem and differences are pointed out. Analytic formulas for the meeting probability and its asymptotic behavior are derived. The decay of the meeting probability for distinguishable particles is faster then in the classical case, but not quadratically faster. Entangled initial states and the bosonic or fermionic nature of the walkers are considered.
dc.identifierhttps://arxiv.org/abs/0705.1985
dc.identifierhttp://arxiv.org/abs/0705.1985
dc.identifierJ. Phys. A: Math. Gen. 39, 14965 (2006)
dc.identifierdoi:10.1088/0305-4470/39/48/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128917
dc.subjectQuantum Physics
dc.titleThe meeting problem in the quantum random walk
dc.typetext

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