  We propose a scheme of loss resilient entanglement swapping between two
distant parties in lossy optical fibre. In this scheme, Alice and Bob each
begin with a pair of entangled non-classical states; these "hybrid states" of
light are entangled discrete variable (Fock state) and continuous variable
(coherent state) pairs. The continuous variable halves of each of these pairs
are sent through lossy optical fibre to a middle location, where these states
are then mixed (using a 50:50 beam-splitter) and measured. The detection scheme
we use is to measure one of these modes via vacuum detection, and to measure
the other mode using homodyne detection.
  In this work we show that the Bell state $\lvert\Phi^{+}\rangle=(\lvert
00\rangle+\lvert 11\rangle)/\sqrt{2}$ can theoretically be produced following
this scheme with high fidelity and entanglement, even when allowing for a small
amount of loss. It can be shown that there is an optimal amplitude value
($\alpha$) of the coherent state when allowing for such loss. We also
investigate the realistic circumstance when the loss is not balanced in the
propagating modes. We demonstrate that a small amount of loss mismatch does not
destroy the overall entanglement, thus demonstrating the physical practicality
of this protocol.
