Year: 2019
Type: article
Abstract: We consider ensembles of bipartite states resulting from a random passive Gaussian unitary applied to a fiducial pure Gaussian state. We show that the symplectic spectra of the reduced density operators concentrate around that of a thermal state with the same energy. This implies, in particular, the concentration of the entanglement entropy as well as other entropy measures. Our work extends earlier results on the typicality of entanglement beyond the two ensembles and the reduced purity measure considered in the work of Serafini et al. [J. Phys. A: Math. Theor. 40, 9551 (2007)].
Source: Journal of Mathematical Physics
DOI: 10.1063/1.5119950
Authors: Motohisa Fukuda, Robert Koenig
Institutions: Yamagata University, Technical University of Munich
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2920927831