Topological-Like Features in Diagrammatical Quantum Circuits

Details Topological-Like Features in Diagrammatical Quantum Circuits Topological-Like Features in Diagrammatical Quantum Circuits

2007-03-21

arxiv.org/abs/quant-ph/0703196v3

Quant.Inf.Proc.7:3-32,2008

Physics

Quantum Physics

v1: Latex. v2,v3: original proposals in v1 are stated in a physical style. This manuscript is a formal written version of Y. Z

Scientific paper

In 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.

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