Noise-tailored two-qubit gates in the presence of spatiotemporally correlated noise

Spatiotemporally correlated noise is ubiquitous in near-term quantum devices and can significantly impact the performance of two-qubit operations in execution and across circuits. Mitigating noise in these systems is crucial to make them viable for quantum information processing at scale. Under reasonable assumptions on the nature of the noise, quantum noise spectroscopy (QNS) techniques offer an advantage of requiring fewer resources for characterizing correlated noise compared to existing techniques. In this work, we show how two-qubit QNS of dephasing noise environments can be made robust against state-preparation and measurement (SPAM) errors and present a two-qubit gate optimization protocol that incorporate noise-spectral and cross-spectral information to construct optimally tailored two-qubit gates. We show how, in realistic settings with significant SPAM errors and constrained control resources, noise-tailored idling gates optimized against SPAM-robust spectral estimates perform better than the best off-the-shelf dynamical decoupling sequences in preserving arbitrary two-qubit states. Extensions to noise-tailored entangling gates will also be discussed.