Infinite Mode Quantum Gaussian States
B. V. Rajarama Bhat, Tiju Cherian John, and R. Srinivasan
TL;DR
This paper investigates infinite mode quantum Gaussian states on Bosonic Fock spaces, extending existing results to characterize their properties such as convexity and symmetry.
Contribution
It generalizes prior finite mode results to the infinite mode case, providing new characterizations and properties of quantum Gaussian states.
Findings
Extended characterizations of infinite mode quantum Gaussian states
Established convexity and symmetry properties for these states
Generalized finite mode results to the infinite mode setting
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.
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