Digital quantum simulation of beam splitters and squeezing with IBM quantum computers

TL;DR

This paper demonstrates the digital quantum simulation of beam-splitter and squeezing interactions on IBM quantum computers, achieving high fidelities through error mitigation and post-selection, advancing quantum optics simulations.

Contribution

The work introduces a method to map bosonic Hamiltonians to qubits and successfully implements high-fidelity simulations of optical interactions on IBM quantum hardware.

Findings

Fidelities above 90% for low squeezing in single-mode cases

Fidelities between 60% and 90% for large squeezing and two-mode interactions

Effective use of error mitigation and post-selection techniques

Abstract

We present results on the digital quantum simulations of beam-splitter and squeezing interactions. The bosonic hamiltonians are mapped to qubits and then digitalized in order to implement them in the IBM quantum devices. We use error mitigation and post-selection to achieve high-fidelity digital quantum simulations of single-mode and two-mode interactions, as evidenced -- where possible -- by full tomography of the resulting states. We achieve fidelities above 90 \% in the case of single-mode squeezing with low squeezing values and ranging from 60 \% to 90 \% for large squeezing and in the more complex two-mode interactions.