Quantum Algorithms and Applications for Open Quantum Systems

TL;DR

This review discusses recent quantum algorithms for modeling open quantum systems, highlighting their potential to advance quantum computation, chemistry, and material science by leveraging quantum advantage.

Contribution

It provides a comprehensive summary of fundamental theory, recent quantum algorithms, and practical applications for open quantum systems, emphasizing interdisciplinary approaches.

Findings

Quantum algorithms enable simulation of open quantum systems with potential quantum advantage.

Applications span chemical, biological, and material systems.

The field requires diverse expertise and workforce training.

Abstract

Accurate models for open quantum systems -- quantum states that have non-trivial interactions with their environment -- may aid in the advancement of a diverse array of fields, including quantum computation, informatics, and the prediction of static and dynamic molecular properties. In recent years, quantum algorithms have been leveraged for the computation of open quantum systems as the predicted quantum advantage of quantum devices over classical ones may allow previously inaccessible applications. Accomplishing this goal will require input and expertise from different research perspectives, as well as the training of a diverse quantum workforce, making a compilation of current quantum methods for treating open quantum systems both useful and timely. In this Review, we first provide a succinct summary of the fundamental theory of open quantum systems and then delve into a discussion on recent quantum algorithms. We conclude with a discussion of pertinent applications, demonstrating the applicability of this field to realistic chemical, biological, and material systems.