Speaker
Hun Hee Lee, Seoul National University
Abstract
In the continuous variable QIT the underlying quantum system is called the n-mode Bosonic system based on the phase space formulation of quantum mechanics with the phase space $R^n\times R^n$. The space of all Bosonic quantum states is too big, so we focus on an important class of quantum states called Gaussian states. The Gaussian formalism continues to consider metaplectic/Gaussian quantum channels, while the latter preserves Gaussianity of the states.
In this talk we focus on an extension of the rich theory of Gaussian states/channels to the case of general quantum kinematical systems with the phase space $G$, which is a locally compact abelian group equipped with a suitable 2-cocycle $\sigma$. Main examples include $n$-qudit systems and the angle-number systems.
We will talk about characterizations of Gaussian states/channels and information theoretic properties such as PPT and EBT.