Optimally Band-Limited Noise Filtering and Crosstalk Mitigation for Single Qubit Gates in Multi-Qubit Systems

In the NISQ era, accurate and scalable quantum computation is hindered by noise that is often difficult to mitigate. A particularly prevalent source of noise in NISQ devices is quantum crosstalk where qubits experience always-on or gate-induced parasitic interactions. In this work, we construct optimized control sequences that mitigate temporally correlated noise and quantum crosstalk during the implementation of simultaneous single-qubit gates on multi-qubit systems. We utilize the filter function formalism to define conditions for achieving crosstalk mitigation and filtering system-environment noise. This formalism allows us to analytically derive intuitive initial conditions that are used within the Filter Gradient Ascent in Function Space (F-GRAFS) optimization framework to achieve optimal noise filtering via Slepian based control. This talk will highlight recent experimental results demonstrating the ability to design and implement dephasing and quantum crosstalk robust single-qubit control.