Quantum Crosstalk Robust Quantum Control

The prevalence of quantum crosstalk in current quantum devices poses challenges for achieving highfidelity quantum logic operations and reliable quantum processing. Through quantum control theory, we develop an analytical condition for achieving crosstalk-robust single-qubit control of multiqubit systems. We examine the effects of quantum crosstalk via a cumulant expansion and develop a condition to suppress the leading order contributions to the dynamics. The efficacy of the condition is illustrated in the domains of quantum state preservation and noise characterization through the development of crosstalk-robust dynamical decoupling and quantum noise spectroscopy (QNS) protocols. Using the IBM Quantum Experience, crosstalk-robust state preservation is demonstrated on 27 qubits, where up to a 3.5x improvement in coherence decay is observed for single-qubit product and multipartite entangled states. Through the use of noise injection, we demonstrate crosstalk-robust dephasing QNS on a seven qubit processor, where a 104 improvement in reconstruction accuracy over alternative protocols is found. Together, these experiments highlight the significant impact the crosstalk suppression condition can have on improving multiqubit characterization and control on current quantum devices.