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Article overview
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Bases in diagrammatic quantum protocols | Bob Coecke
; Eric Oliver Paquette
; Simon Perdrix
; | Date: |
7 Aug 2008 | Abstract: | This 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 | Services: | Forum | Review | PDF | Favorites |
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