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ZX-calculus is Complete for Finite-Dimensional Hilbert Spaces

ZX-calculus is Complete for Finite-Dimensional Hilbert Spaces

The ZX-calculus is a graphical language for reasoning about quantum computing and quantum information theory. As a complete graphical language, it incorporates a set of axioms rich enough to derive any equation of the underlying formalism. While completeness of the ZX-calculus has been established for qubits and the Clifford fragment …