  Here, we numerically simulate probabilistic elementary entangling operations
between rail-encoded photons for the purpose of scalable universal quantum
computation or communication. We propose grouping logical qubits into
single-photon blocks wherein single-qubit rotations and the CNOT gate are fully
deterministic and simple to implement. Inter-block communication is then
allowed through said probabilistic entangling operations. We find a promising
trend in the increasing probability of successful inter-block communication as
we increase the number of optical modes operated on by our elementary
entangling operations.
