A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging

TL;DR

This paper reviews the current state of quantum multiparameter estimation, emphasizing theoretical foundations, applications in quantum imaging, and future research directions to enhance quantum measurement capabilities.

Contribution

It provides a comprehensive overview of the theoretical tools and practical applications in quantum multiparameter metrology, highlighting recent advances and future prospects.

Findings

Quantum multiparameter estimation is crucial for advanced quantum technologies.

Theoretical frameworks are essential for understanding quantum enhancement limits.

Applications in quantum imaging demonstrate practical benefits of multiparameter approaches.

Abstract

The interest in a system often resides in the interplay among different parameters governing its evolution. It is thus often required to access many of them at once for a complete description. Assessing how quantum enhancement in such multiparameter estimation can be achieved depends on understanding the many subtleties that come into play: establishing solid foundations is key to delivering future technology for this task. In this article we discuss the state of the art of quantum multiparameter estimation, with a particular emphasis on its theoretical tools, on application to imaging problems, and on the possible avenues towards the next developments.