Benchmarking bosonic and fermionic dynamics

TL;DR

This paper introduces a robust randomized benchmarking framework for analog quantum simulators implementing bosonic and fermionic dynamics, enabling reliable assessment of their performance in simulating strongly correlated quantum systems.

Contribution

It presents a novel, versatile benchmarking scheme tailored for analog quantum devices, leveraging native operations and robustness against errors, with theoretical guarantees and numerical demonstrations.

Findings

The scheme is efficient and scalable.

It provides theoretical performance guarantees.

Numerical examples validate the protocol's effectiveness.

Abstract

Analog quantum simulation allows for assessing static and dynamical properties of strongly correlated quantum systems to high precision. To perform simulations outside the reach of classical computers, accurate and reliable implementations of the anticipated Hamiltonians are required. To achieve those, characterization and benchmarking tools are a necessity. For digital quantum devices, randomized benchmarking can provide a benchmark on the average quality of the implementation of a gate set. In this work, we introduce a versatile framework for randomized analog benchmarking of bosonic and fermionic quantum devices implementing particle number preserving dynamics. The scheme makes use of the restricted operations which are native to analog simulators and other continuous variable systems. Importantly, like randomized benchmarking, it is robust against state preparation and measurement errors. We discuss the scheme's efficiency, derive theoretical performance guarantees and showcase the protocol with numerical examples.