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28 March 2024
 
  » arxiv » 0808.1029

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Bases in diagrammatic quantum protocols
Bob Coecke ; Eric Oliver Paquette ; Simon Perdrix ;
Date 7 Aug 2008
AbstractThis paper contains two new results:
1. We amend the notion of abstract basis in a dagger symmetric monoidal category, as well as its corresponding graphical representation, in order to accommodate non-self-dual dagger compact structures; this is crucial for obtaining a ’planar’ diagrammatical representation of the induced dagger compact structure as well as for representing many complementary bases within one diagrammatic calculus.
2. We (crucially) rely on these basis structures in a purely diagrammatic derivation of the ’quantum state transfer protocol’; this derivation provides interesting insights in the distinct structural resources required for state-transfer and teleportation as models of quantum computing.
Source arXiv, 0808.1029
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