Quantum simulation of a spin-boson Hamiltonian and its performance.

We aim to expand the range of applications of quantum computers by exploring their potential in investigating effects within cavity quantum electrodynamics (cQED). This includes studying material properties, multi-photon phenomena like superradiance, and systems with strong field-matter interactions. The motivation for developing a quantum computing simulation spans from the fact that experimental studies in cQED are costly, and classical simulations can be challenging.

We are interested in multi-photon and multi-atom setups where physical phenomena such as phase transition in interconnected cavities can be simulated with modest quantum resources. We introduce a boson-to-qubit mapping based on the inverse Holstein-Primakoff transformation which is a promising technique and can be used in other systems driven by a spin-boson, as well as a fermion-boson or a pure boson Hamiltonian.

To conclude the study, we discuss various approaches to time evolution and the effect of the noise when run on real quantum devices.