ENTANGLEMENT
AND STEERING WITNESSES FOR GAUSSIAN STATES*
Tatiana Mihaescu[1], Aurelian Isar[2]
Dedicated to Dr. Dan Tiba on the
occasion of his 70th anniversary
Abstract. We present a short review on
the subject of witnesses based on second moments as a primary tool for the
efficient detection of entanglement and steering. In particular, we focus on
the example of Gaussian states, which represent the core toolbox for the vast
domain of continuous variable states. We fully define and characterise the
entanglement and steering Gaussian witnesses, respectively, and then present a
set of linear constraints as an alternative characterisation that allows for
the implementation of a numerical optimisation semidefinite programming
algorithm. We have the great pleasure to dedicate this paper in the honour of
Professor Dan Tiba on the occasion of his 70th Anniversary and to wish him a
long life in good health and further success in his scientific activity.
MSC: 81P40, 81P42
Keywords: witnesses based on second moments, entanglement witnesses, steering
witnesses, Gaussian states, semidefinite programming
DOI 10.56082/annalsarscimath.2024.1.114
