A four-copy fixed-core architecture with five local SU(3)⊗SU(3) layers is shown to be locally universal for two-qutrit gates, via an explicit Clifford core that makes the differential an exact isometry.
At the symplectic-label level, a direct finite-field computation gives a local reversing symmetry R∗∈Sp(V A)×Sp(V B) such that R∗SKClR−1 ∗ =S−1 KCl
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Local Universality and Structural Certificates for Minimal Fixed-Depth Two-Qutrit Gate Decomposition
A four-copy fixed-core architecture with five local SU(3)⊗SU(3) layers is shown to be locally universal for two-qutrit gates, via an explicit Clifford core that makes the differential an exact isometry.