Experimental Implementation of Universal Nonadiabatic Geometric Quantum Gates in a Superconducting Circuit

Using geometric phases to realize noise-resilient quantum computing is an important method to enhance control fidelity. But so far, there is no direct experimental verification of the noise-resilient feature of geometric quantum gates over the dynamical ones. Here, we experimentally realize a universal nonadiabatic geometric quantum gate set in a superconducting qubit chain. We demonstrate a geometric single-qubit rotation gate set with 0.9977(1) average fidelity and a geometric CZ gate with 0.977(9) fidelity. We also experimentally demonstrate the noise-resilient feature of the realized single-qubit geometric gates by comparing their performance with the conventional dynamical gates with different types of errors in the control field. Thus, our experiment proves a way to achieve high-fidelity geometric quantum gates for robust quantum computation.
Reference:
[1] Xu, Y., et al. (2020). "Experimental Implementation of Universal Nonadiabatic Geometric Quantum Gates in a Superconducting Circuit." Phys Rev Lett 124(23): 230503.