Optimal Hadamard Gate Count for Clifford+T Synthesis of Pauli Rotations Sequences

Watch a conference talk from TQC 2023 exploring an algorithm for minimizing Hadamard gates in quantum circuits using Clifford+T gate sets. Learn about a novel approach to optimize quantum computation by reducing both T-gate and Hadamard gate counts in Pauli rotation sequences. Understand how this optimization technique can improve fault-tolerant quantum computing by minimizing resource requirements and reducing the overhead from Hadamard gate gadgetization. Discover the mathematical foundations behind achieving optimal Hadamard gate placement between T gates while maintaining circuit functionality. Presented by Vivien Vandaele at the 18th Conference on the Theory of Quantum Computation, Communication and Cryptography at the University of Aveiro, this research advances theoretical quantum information science with practical implications for quantum circuit compilation and optimization.