### Achievement

Successfully simulated scalar quantum field theory model on IBM QPU. Part of this work used XACC

### Significance and Impact

This work applies quantum computing to quantum field theory and leveraged the XACC programming framework.

### Research Details

- Computed ground state energy and excited state to infer characteristic mass gap
- Implemented error mitigation protocols to enhance our results.

### Overview

Quantum field theory (QFT) simulations are a potentially important application for noisy intermediate scale quantum (NISQ) computers. The ability of a quantum computer to emulate a QFT therefore constitutes a natural application-centric benchmark. Foundational quantum algorithms to simulate QFT processes rely on fault-tolerant computational resources, but to be useful on NISQ machines, error-resilient algorithms are required. Here we outline and implement a hybrid algorithm to calculate the lowest energy levels of the paradigmatic 1+1–dimensional ϕ4 interacting scalar QFT. We calculate energy splittings and compare results with experimental values obtained on currently available quantum hardware. We show that the accuracy of mass-renormalization calculations represents a useful metric with which near-term hardware may be benchmarked. We also discuss the prospects of scaling the algorithm to full simulation of interacting QFTs on future hardware.