Simulating nanoscale NMR problems on a Co-Design quantum computer, part II

Current quantum devices do not yet allow for implementations of complex quantum algorithms solving practical problems. The objective of Co-Design is to ease this task by optimizing the algorithm and hardware in combination. We apply this approach to a quantum simulation algorithm for a diamond nuclear spin hyperpolarization protocol designed by us as presented in part I. Different qubit topologies are studied in terms of the required number of SWAPs and the gate fidelities required to solve the problem up to a specific precision on NISQ hardware. We show that by choosing a suitable circuit topology we can significantly reduce the gate fidelity requirements. Also, the use of problem-specific hardware tools, such as the quantum circuit refrigerator (QCR), is discussed.

 

The hardware details to implement this algorithm on a superconducting chip are presented in “A Co-Design star-architecture superconducting chip”.