  We derive a family of Gaussian non-Markovian stochastic Schr\"odinger
equations for the dynamics of open quantum systems. The different unravelings
correspond to different choices of squeezed coherent states, reflecting
different measurement schemes on the environment. Consequently, we are able to
give a single shot measurement interpretation for the stochastic states and
microscopic expressions for the noise correlations of the Gaussian process. By
construction, the reduced dynamics of the open system does not depend on the
squeezing parameters. They determine the non-hermitian Gaussian correlation, a
wide range of which are compatible with the Markov limit. We demonstrate the
versatility of our results for quantum information tasks in the non-Markovian
regime. In particular, by optimizing the squeezing parameters, we can tailor
unravelings for optimal entanglement bounds or for environment-assisted
entanglement protection.
