Entanglement of quasi-symmetry multi-mode Gaussian states in continuous variable system
Abstract
The entanglement of multi-mode Gaussian state in continuous variable system is investigated. In recent studies, the determination in entanglement of a general two-mode Gaussian state depend on purity measurement, and some studies have already extended it to the case of quasi-symmetry multi-mode Gaussian state. In this paper, entanglement is quantified by logarithmic negativity. The study focuses on the entanglement of quasi-symmetric eight-mode Gaussian state. Our aim is to find the analytic description of the correlation between the quasi-symmetric Gaussian state and two-mode Gaussian state. The results show that: the correlation is not unique. A two-mode Gaussian state may correspond to many different multi-mode Gaussian states, and these multi-mode Gaussian states have the same entanglement information.
