  We address measurement-based generation of quantum coherence in continuous
variable systems. We consider Gaussian measurements performed on Gaussian
states and focus on two scenarios. In the first one, we assume an initially
correlated bipartite state shared by two parties and study how correlations may
be exploited to remotely create quantum coherence via measurement back-action.
In particular, we focus on conditional states with zero first moments, so as to
address coherence due to properties of the covariance matrix. We consider
different classes of bipartite states with incoherent marginals and show that
the larger the measurement squeezing, the larger the conditional coherence.
Homodyne detection is thus the optimal Gaussian measurement to remotely
generate coherence. We also show that for squeezed thermal states there exists
a threshold value for the generated coherence which separates entangled and
separable states at a fixed energy. Finally, we briefly discuss the tripartite
case and the relationship between tripartite correlations and the conditional
two-mode coherence. In the second scenario, we address the steady state
coherence of a system interacting with an environment which is continuously
monitored. In particular, we discuss the dynamics of an optical parametric
oscillator in order to investigate how the coherence of a Gaussian state may be
increased by means of time-continuous Gaussian measurement on the interacting
environment.
