Classically efficient quantum scalable Fermi-Hubbard benchmark

Abstract

In order to quantify the relative performance of different test-bed quantum computing devices, it is useful to benchmark them using a common protocol. While some benchmarks rely on the performance of random circuits and are generic in nature, here we instead propose and implement a practical, application-based benchmark. In particular, our protocol calculates the energy of the ground state in the single-particle subspace of a one-dimensional (1D) Fermi Hubbard model, a problem which is efficient to solve classically. We provide a quantum ansatz for the problem that is provably able to probe the full single-particle subspace for a general-length 1D chain and scales efficiently in number of gates and measurements. Finally, we demonstrate and analyze the benchmark performance on superconducting and ion-trap test-bed hardware from three hardware vendors and with up to 24 qubits.

Locations

• Physical review. A/Physical review, A - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View