Quantum State Preparation with Optimal T-Count

Learn about the optimal T-gate requirements for approximating n-qubit quantum states in this technical lecture from the Hausdorff Center for Mathematics. Explore improved methods that achieve optimal asymptotic scaling of p 2 n log(1/ϵ) + log(1/ϵ) when using ancilla qubits, advancing beyond previous work by Low, Kliuchnikov, and Schaeffer. Discover how this same T-count proves optimal for implementing arbitrary diagonal n-qubit unitaries within a specified error margin ϵ. Examine practical applications where multiple single-qubit unitaries can be synthesized in parallel while maintaining the computational cost of a single operation.