Refereed journal article or data article (A1)

Typical Gaussian quantum information




List of Authors: Sohr P, Link V, Luoma K, Strunz WT

Publisher: IOP PUBLISHING LTD

Publication year: 2019

Journal: Journal of Physics A: Mathematical and Theoretical

Journal name in source: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Journal acronym: J PHYS A-MATH THEOR

Volume number: 52

Issue number: 3

Number of pages: 16

ISSN: 1751-8113

DOI: http://dx.doi.org/10.1088/1751-8121/aaf365


Abstract
We investigate different geometries and invariant measures on the space of mixed Gaussian quantum states. We show that when the global purity of the state is held fixed, these measures coincide and it is possible, within this constraint, to define a unique notion of volume on the space of mixed Gaussian states. We then use the so defined measure to study typical non-classical correlations of two mode mixed Gaussian quantum states, in particular entanglement and steerability. We show that under the purity constraint alone, typical values for symplectic invariants can be computed very elegantly, irrespectively of the non-compactness of the underlying state space. Then we consider finite volumes by constraining the purity and energy of the Gaussian state and compute typical values of quantum correlations numerically.


Last updated on 2022-04-03 at 12:45