A significant hurdle for quantum information and processing using bosonic
systems are stochastic phase errors, which are likely to occur as the photons
propagate through a channel. We propose and demonstrate a scheme of passive,
linear optical unitary averaging for protecting Gaussian channels. The scheme
requires only linear optical elements and vacuum detectors, and protects
against a loss of purity, squeezing and entanglement. We present numerical
simulations and analytical formula, tailored for currently relevant parameters
with low noise levels, where our approximations perform exceptionally well. We
also show the asymptotic nature of the protocol, highlighting both current and
future relevance.Comment: 6 pages, 7 figures, 1 tabl