Co-Design quantum simulation of nanoscale NMR

Abstract

Quantum computers have the potential to efficiently simulate the dynamics of nanoscale NMR systems. In this work we demonstrate that a noisy intermediate-scale quantum computer can be used to simulate and predict nanoscale NMR resonances. In order to minimize the required gate fidelities, we propose a superconducting application-specific Co-Design quantum processor that reduces the number of SWAP gates by over 90% for chips with more than 20 qubits. The processor consists of transmon qubits capacitively coupled via tunable couplers to a central co-planar waveguide resonator with a quantum circuit refrigerator (QCR) for fast resonator reset. The QCR implements the nonunitary quantum operations required to simulate nuclear hyperpolarization scenarios.

Benchmarking quantum error-correcting codes on quasi-linear and central-spin processors

“…More generally, whenever multi-qubit controlled gates are involved, the CSS topology allows for an advantageous transpilation. This is also relevant in an algorithms context where the CSS connectivity allows for efficient swapping routines [84,125]. If, however, the two-qubit gates require connections involving many different control and target qubits, the quasi-linear, hexagonal layout is advantageous.…”