Speaker
Dong Hwan Kim, Seoul National University
Abstract
Quantum systems with finite degrees of freedom, systems with a finite dimensional Hilbert space, are widely studied in quantum information. We can instead consider using continuous degrees of freedom of quantum systems, and continuous variable quantum information aims to use such systems for quantum information tasks. Some examples of systems with continuous degrees of freedom include the position, momentum of a quantum particle or the electric, magnetic field of light. The mathematical description of such systems is based on the canonical commutation relations, or the CCR algebra. I will give an introduction to the CCR algebra and their states. Among states on the CCR algebra, there is a distinguished class of states known as Gaussian states. These states are mathematically easy to understand as they are determined up to the two-point function and are also physically feasible to prepare. I will also give some examples of Gaussian states and relate them with physical states that can be prepared in a lab.