  We investigate a scheme for topological quantum computing using optical
hybrid qubits and make an extensive comparison with previous all-optical
schemes. We show that the photon loss threshold reported by Omkar {\it et al}.
[Phys. Rev. Lett. 125, 060501 (2020)] can be improved further by employing
postselection and multi-Bell-state-measurement based entangling operation to
create a special cluster state, known as Raussendorf lattice for topological
quantum computation. In particular, the photon loss threshold is enhanced up to
$5.7\times10^{-3}$, which is the highest reported value given a reasonable
error model. This improvement is obtained at the price of consuming more
resources by an order of magnitude, compared to the scheme in the
aforementioned reference. Neverthless, this scheme remains resource-efficient
compared to other known optical schemes for fault-tolerant quantum computation.
