  We propose an architecture for achieving high-fidelity deterministic quantum
logic gates on dual-rail encoded photonic qubits by letting photons interact
with a two-level emitter (TLE) inside an optical cavity. The photon wave
packets that define the qubit are preserved after the interaction due to a
quantum control process that actively loads and unloads the photons from the
cavity and dynamically alters their effective coupling to the TLE. The controls
rely on nonlinear wave mixing between cavity modes enhanced by strong
externally modulated electromagnetic fields or on AC Stark shifts of the TLE
transition energy. We numerically investigate the effect of imperfections in
terms of loss and dephasing of the TLE as well as control field miscalibration.
Our results suggest that III-V quantum dots in GaAs membranes is a promising
platform for photonic quantum information processing.
