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The ZX-calculus is incomplete for quantum mechanics

arXiv 1404.3633 ↗First posted 14 Apr 2014cs.LO math.CT quant-phcited by 1

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Abstract (arXiv)

We prove that the ZX-calculus is incomplete for quantum mechanics. We suggest the addition of a new 'color-swap' rule, of which currently no analytical formulation is known and which we suspect may be necessary, but not sufficient to make the ZX-calculus complete.

Key facts. Cited by 1 paper in the map (data through 13 Oct 2026). First posted on arXiv 14 Apr 2014.

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  1. 2021Kindergarden quantum mechanics graduates (...or how I learned to stop gluing LEGO together and love the ZX-calculus)cited by 4