Quantum Sensing 1/f Noise via Pulsed Control of a Two-Qubit Gate ^†

Dynamical decoupling sequences are a convenient tool to reduce decoherence due to intrinsic fluctuations with $1/f$ power spectrum hindering quantum circuits. We study the possibility to achieve an efficient universal two-qubit gate in the presence of $1/f$ noise by periodic and Carr-Purcell dynamical decoupling. The high degree of selectivity achieved by these protocols also provides a valuable tool to infer noise characteristics, as the high-frequency cut off and the noise variance. Different scalings of the gate error with noise variance signal the contribution of different noise statistical properties to the gate error.