  Crosstalk represents a formidable obstacle in quantum computing. When quantum
gates are executed parallelly, the resonance of qubit frequencies can lead to
residual coupling, compromising the fidelity. Existing crosstalk solutions
encounter difficulties in mitigating crosstalk and decoherence when dealing
with parallel two-qubit gates in frequency-tunable quantum chips. Inspired by
the physical properties of frequency-tunable quantum chips, we introduce a
Crosstalk-Aware Mapping and gatE Scheduling (CAMEL) approach to address these
challenges. CAMEL aims to mitigate crosstalk of parallel two-qubit gates and
suppress decoherence. Utilizing the features of the tunable coupler, the CAMEL
approach integrates a pulse compensation method for crosstalk mitigation.
Furthermore, we present a compilation framework, including two steps. Firstly,
we devise a qubit mapping approach that accounts for both crosstalk and
decoherence. Secondly, we introduce a gate timing scheduling approach capable
of prioritizing the execution of the largest set of crosstalk-free parallel
gates to shorten quantum circuit execution times. Evaluation results
demonstrate the effectiveness of CAMEL in mitigating crosstalk compared to
crosstalk-agnostic methods. Furthermore, in contrast to approaches serializing
crosstalk gates, CAMEL successfully suppresses decoherence. Finally, CAMEL
exhibits better performance over dynamic-frequency awareness in low-complexity
hardware.
