Simulation and randomized measurement of topological phase on a trapped-ion quantum computer

Abstract

Noisy intermediate scale quantum (NISQ) computers are a promising platform for studying many-body quantum states, such as interacting topological states. Here we prepare a one-dimensional bosonic symmetry-protected topological (SPT) phases using variational quantum eigensolver (VQE) algorithms, and demonstrate the randomized measurement of the corresponding many-body topological invariant, on a trapped-ion quantum computer. We show that the randomized measurement protocol is applicable in real machines, with the dominant error arising from the imperfect preparation of the quantum states. © 2022, The Korean Physical Society.