Physics – Quantum Physics
Scientific paper
2008-08-07
Physics
Quantum Physics
21 pages and loads of pictures. Proceedings of Mathematical Foundations of Programming Semantics XXIV, Electronic Notes in the
Scientific paper
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.
Coecke Bob
Paquette Eric Oliver
Perdrix Simon
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