The ZX-Calculus is Incomplete for Quantum Mechanics

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.

Publication
AI for Social Good Workshop @ ICML 2019
Christian Schroeder de Witt
Christian Schroeder de Witt
AI & Security Research | Strategy

AI and Security Research | Security Strategy