Francisca Vasconcelos

Depth-Optimal Quantum Compilation

We achieve the first constant-depth circuit for arbitrary single-qubit gate synthesis. Unlike prior approaches, the construction is fully unitary and requires no pre-supplied catalyst. For any constant $\delta>0$, it $\varepsilon$-approximates an arbitrary single-qubit gate using $O(\log^{1+\delta}(1/\varepsilon))$ cle...