Infinite Mode Quantum Gaussian States

Abstract

Quantum Gaussian states on Bosonic Fock spaces are quantum versions of Gaussian distributions. In this paper, we explore infinite mode quantum Gaussian states. We extend many of the results of Parthasarathy in \cite{Par10} and \cite{Par13} to the infinite mode case, which includes various characterizations, convexity and symmetry properties.

arXiv comment31 pages

References in corpus (5)

• Gaussian Quantum Information
• Continuous variable quantum information: Gaussian states and beyond
• Quantum information with Gaussian states
• Extremality of Gaussian quantum states
• Real Normal Operators and Williamson's Normal Form

Cited by in corpus (7)

• Non-Gaussianity as a signature of a quantum theory of gravity
• A Common Parametrization for Finite Mode Gaussian States, their Symmetries and associated Contractions with some Applications
• Real Normal Operators and Williamson's Normal Form
• Petz-Rényi Relative Entropy of Thermal States and their Displacements
• An Order Relation between Eigenvalues and Symplectic Eigenvalues of a Class of Infinite-Dimensional Operators
• Fundamental Limits Of Quickest Change-point Detection With Continuous-Variable Quantum States
• A Complete Characterization of Passive Unitary Normalizable (PUN) Gaussian States