Sampling-based methods for quantum state preparation achieve asymptotically lower T-count than rotation-based methods and maintain an advantage in total gate count after accounting for compilation overhead.
Remarks on matsumoto and amano’s normal form for single-qubit clifford+t operators, 2019
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Logical Resource Estimation for Quantum State Preparation with Compilation
Sampling-based methods for quantum state preparation achieve asymptotically lower T-count than rotation-based methods and maintain an advantage in total gate count after accounting for compilation overhead.