Author

Teodor Parella-Dilmé

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Preprint Aug 2026

Strong unitary designs in optimal depth and space

For every fixed design order $k$ and measurable-error tolerance, strong approximate unitary designs in optimal $\Theta(\log n)$ all-to-all circuit depth are constructed using only the original system qubits using a logarithmic-depth Pauli-mixing bound for the perfect-matching ensemble.

Teodor Parella-Dilmé, Júlia Barberà-Rodríguez, Salvatore F. E. Oliviero et al. · 3 citations