A graph-state based synthesis framework for Clifford isometries

• DOI: 10.48550/arxiv.2212.06928
• Publication Date: 2022-01-01
• Authors: Timothée Goubault...; Simon Martiel; Christophe Vuillot
• Keywords: Isometry (Riemannian geometry)

We tackle the problem of Clifford isometry compilation, i.e, how to synthesize a into an executable quantum circuit. propose simple framework for synthesis that only exploits elementary properties group and one equation symplectic group. highlight versatility our by showing several normal forms literature are natural corollaries. report improvement two-qubit depth necessary execution circuit on LNN architecture. also apply graph states codiagonalization Pauli rotations we improve 2-qubit count circuits taken from chemistry experiments.