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- Title
Topological-Like Features in Diagrammatical Quantum Circuits.
- Authors
Zhang, Yong; Kauffman, Louis
- Abstract
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 describe 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 as described by dagger ribbon categories.
- Subjects
TOPOLOGY; QUANTUM field theory; QUANTUM theory; FIELD theory (Physics); CHARTS, diagrams, etc.
- Publication
Quantum Information Processing, 2008, Vol 7, Issue 1, p3
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-007-0067-0