Scalar quantum field theories as a benchmark for near-term quantum computers

摘要

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 Φ~4 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 massrenormalization 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.