Experimental measurements of the performance of dynamically corrected geometric quantum logic gates in solid-state spin qubits

High-fidelity quantum control is an important primitive in quantum information processing machines.  Carrying out accurate, high-fidelity gates in presence of dephasing noise usually requires complicated pulse shapes which have to be carefully controlled. In this work, we study smooth pulses that were suggested theoretically from a geometrical framework to be resistant to dephasing noise [1]. We implement a randomized benchmarking protocol [2] with electronic spin qubits associated with nitrogen-vacancy (NV) centers in diamond to measure the performance and gate fidelity of these geometrically inspired smooth pulses. 

[1] J. Zeng et al, New J. Phys. 20,033011(2018) 

[2] E. Knill et al, Phys. Rev. A 77, 012307 (2008)