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A Near-Optimal Axiomatisation of ZX-Calculus for Pure Qubit Quantum Mechanics
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A Near-Optimal Axiomatisation of ZX-Calculus for Pure Qubit Quantum Mechanics
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Recent developments in the ZX-Calculus have resulted in complete axiomatisations first for an approximately universal restriction of the language, and then for the whole language. The main drawbacks were that the axioms that were added to achieve completeness were numerous, tedious to manipulate and lacked a physical interpretation. We present in this paper two complete axiomatisations for the general ZX-Calculus, that we believe are optimal, in that all their equations are necessary and moreover have a nice physical interpretation.
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Cited by 1 Pith paper
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A ribbon ZX calculus for gauge theory
A ribbon ZX calculus is defined for 2D Yang-Mills theory via the Hopf Frobenius structure of the group algebra, which matches 2D TQFT diagrammatics.
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