Simulating spectroscopy experiments with a superconducting quantum computer

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.

References in corpus (3)

• Non-Abelian Anyons and Topological Quantum Computation
• Spectral signatures of many-body localization with interacting photons
• Detecting Majoranas in 1D wires by charge sensing

Cited by in corpus (7)

• Algorithmic Shadow Spectroscopy
• Simulating Majorana zero modes on a noisy quantum processor
• Probing spectral features of quantum many-body systems with quantum simulators
• Implementing Jastrow--Gutzwiller operators on a quantum computer using the cascaded variational quantum eigensolver algorithm
• Resonances of recurrence time of monitored quantum walks
• Accelerating two-dimensional electronic spectroscopy simulations with a probe qubit protocol
• Tunneling Spectroscopy in Superconducting Circuit Lattices