Gaussian states in continuous variable quantum information

TL;DR

This paper provides a comprehensive overview of Gaussian states in continuous variable quantum information, emphasizing phase space analysis and their applications in quantum dynamics and information processing.

Contribution

It offers an extensive review of Gaussian states, covering fundamental concepts, current research topics, and practical applications in quantum information science.

Findings

Gaussian states are central to continuous variable quantum information.

Phase space analysis is crucial for understanding quantum dynamics.

Gaussian states enable efficient quantum information protocols.

Abstract

These notes originated out of a set of lectures in Quantum Optics and Quantum Information given by one of us (MGAP) at the University of Napoli and the University of Milano. A quite broad set of issues are covered, ranging from elementary concepts to current research topics, and from fundamental concepts to applications. A special emphasis has been given to the phase space analysis of quantum dynamics and to the role of Gaussian states in continuous variable quantum information.