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The Structure of Sum-Over-Paths, its Consequences, and Completeness for Clifford

We show that the formalism of “Sum-Over-Path” (SOP), used for symbolically representing linear maps or quantum operators, together with a proper rewrite system, has the structure of a dagger-compact PROP. Several consequences arise from this observation: – Morphisms of SOP are very close to the diag...

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Detalles Bibliográficos
Autor principal: Vilmart, Renaud
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984103/
http://dx.doi.org/10.1007/978-3-030-71995-1_27