A co-design superconducting quantum circuit for simulating nanoscale-NMR systems

The co-design strategy, where application-specific algorithms and hardware are developed in parallel, is a viable strategy for reaching quantum advantage with NISQ computation devices. For efficiently simulating problems requiring all-to-all interactions, star-type-architectures require a minimal number of SWAP operations to map the algorithm connectivity onto the physical qubit topology. At IQM, we have designed and fabricated a star-type superconducting quantum circuit, where a distributed-element resonator is used as centralcomponent. To operate the central resonator as an effective qubit, we have developed two types of qubit-resonator operations: a SWAP operation for shuffling around excitations and a CZ-gate for algorithmic execution. In this talk, we present the experimental progress towards digitally simulating a nanoscale NMR system [1] – such as an NV center coupled to multiple nuclear spins – on such a circuit.

[1] Manuel G. Algaba et. al., arXiv:2202.05792 [quant-ph] (2022).