The ZX-calculus is incomplete for quantum mechanics
classification
💻 cs.LO
math.CTquant-ph
keywords
zx-calculusincompletemechanicsquantumadditionanalyticalcolor-swapcomplete
read the original abstract
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.
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