Topological-Like Features in Diagrammatical Quantum Circuits

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dc.creatorZhang, Yong
dc.creatorKauffman, Louis H.
dc.date2007-03-21
dc.date2007-04-17
dc.date.accessioned2026-07-07T12:00:30Z
dc.date.available2026-07-07T12:00:30Z
dc.descriptionIn this paper, we revisit topological-like features in the extended Temperley--Lieb diagrammatical representation for quantum circuits including the teleportation, dense coding and entanglement swapping. We perform these quantum circuits and derive characteristic equations for them with the help of topological-like operations. Furthermore, we comment on known diagrammatical approaches to quantum information phenomena from the perspectives of both tensor categories and topological quantum field theories. Moreover, we remark on the proposal for categorical quantum physics and information to be described by dagger ribbon categories.
dc.descriptionv1: Latex. v2,v3: original proposals in v1 are stated in a physical style. This manuscript is a formal written version of Y. Zhang's talk at the workshop "Cats, Kets and Cloisters", Computing Laboratory, Oxford University, July 17-23, 2006
dc.identifierhttps://arxiv.org/abs/quant-ph/0703196
dc.identifierhttp://arxiv.org/abs/quant-ph/0703196
dc.identifierQuant.Inf.Proc.7:3-32,2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206859
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleTopological-Like Features in Diagrammatical Quantum Circuits
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