Emulating the Holstein Primakoff Transformation with Noisy Qubits Authors: Kelvin Yip (Presenter), Alessandro Monteros, Sahel Ashhab, and Lin Tian

Qubits have the potential to efficiently emulate bosonic systems, enabling the study of quantum phenomena beyond classical reach and offering applications involving bosons and atomic ensembles. Here, employing the Holstein–Primakoff (HP) transformation, we emulate a quantum harmonic oscillator using IBM cloud-based superconducting qubits. We study two representative models involving the oscillator: (1) a driven harmonic oscillator and (2) the Jaynes–Cummings model. We analyze the effects of algorithmic errors and quantum hardware noise, and determine optimal simulation parameters. Our findings provide a framework for emulating bosonic systems on cloud quantum computers and point toward applications of quantum computers in studying physical platforms such as atomic ensembles and solid-state spin defects.