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A universal completion of the ZX-calculus

Published 29 Jun 2017 in quant-ph, cs.LO, and math.CT | (1706.09877v1)

Abstract: In this paper, we give a universal completion of the ZX-calculus for the whole of pure qubit quantum mechanics. This proof is based on the completeness of another graphical language: the ZW-calculus, with direct translations between these two graphical systems.

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