Cambridge Quantum Computing Seminar: Wolfram Model and the ZX-Calculus with Jonathan Gorard

Jonathan Gorard talks about the formal correspondence between the Wolfram Model and ZX-Calculus at the Cambridge Quantum Computing Seminar.

Abstract: The Wolfram model is a discrete spacetime formalism based on abstract rewriting systems defined over hypergraphs, which can in turn be represented in terms of double-pushout rewriting systems and (selective) adhesive categories. We illustrate how Wolfram model multiway systems, which form the basis of our conjectural formulation of quantum mechanics, are naturally equipped with a dagger-symmetric monoidal structure that is compatible with the standard monoidal product of ZX-diagrams, and therefore discuss how the Wolfram model may be thought of as constituting an embedding space for the space of possible ZX-diagrams.

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