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In this paper, we show that a qutrit version of ZX-calculus, with rulessignificantly different from that of the qubit version, is complete for purequtrit stabilizer quantum mechanics, where state preparations and measurementsare based on the three dimensional computational basis, and unitary operationsare required to be in the generalized Clifford group. This means that anyequation of diagrams that holds true under the standard interpretation inHilbert spaces can be derived diagrammatically. In contrast to the qubit case,the situation here is more complicated due to the richer structure of thisqutrit ZX-calculus.

Qutrit ZX-calculus is Complete for Stabilizer Quantum Mechanics