Simulating spectroscopy experiments with a superconducting quantum computer

TL;DR

This paper introduces a spectroscopy-based quantum algorithm for eigenvalue problems, demonstrated on IBM hardware for simple and topological models, enabling quantum simulation of spectroscopy experiments.

Contribution

A new spectroscopy-inspired method for eigenvalue problems on quantum computers, tested on real hardware for simple and topological models.

Findings

Successfully simulated spectroscopy on IBM quantum hardware

Identified topological phase boundary in Kitaev chain model

Validated method on both single spin and interacting models

Abstract

We present a novel method for solving eigenvalue problems on a quantum computer based on spectroscopy. The method works by coupling a "probe" qubit to a set of system simulation qubits and then time evolving both the probe and the system under Hamiltonian dynamics. In this way, we simulate spectroscopy on a quantum computer. We test our method on the IBM quantum hardware for a simple single spin model and an interacting Kitaev chain model. For the Kitaev chain, we trace out the pseudo-topological phase boundary for a two-site model.