Fig. 5: Demonstration of gate expressability.
From: High-fidelity qutrit entangling gates for superconducting circuits
a A parameterized Ansatz circuit (V) is used to synthesize a target unitary (U), given some 2-qutrit gate and arbitrary SU(3) gates. b We study the Ansatz circuit (V) for the different two-qutrit gates discussed in the text for 1000 Haar random and Clifford gates, minimizing the infidelity \(1-{{{{{{{\mathcal{F}}}}}}}}\)(V,U). The dashed lines represent 100% numerical success for synthesizing our set of Haar random gates, and the bars display the success rate for synthesizing Clifford gates. We perform the minimization until we find a 100% success rate for each two-qutrit gate between depths 0 ≤ m ≤ 9. c An experimentally reconstructed density matrix of the two qutrit Bell state \(\left|\psi \right\rangle=\frac{1}{\sqrt{3}}(\left|00\right\rangle+\left|11\right\rangle+\left|22\right\rangle )\) formed using a single CZ gate with state fidelity \({{{{{{{\mathcal{F}}}}}}}}=0.952\). The black outline is the target density matrix.
