Single-photon Kerr nonlinearities do not help quantum computation

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Large-scale quantum photonic circuits in silicon (2016, background): “Photon loss and mode distortion [8, 9] can cause gate errors, but heralded gates [10] may help.”
Cavity-based quantum networks with single atoms and optical photons (2014, background): “Therefore, the observation of nonlinear switching explained above is fundamentally restricted to a subensemble of all events (Rosenblum et al., 2011; Shapiro, 2006).”
Prospective applications of optical quantum memories (2013, background): “icantly the phase of the re-emitted light pulse. The idea dates back to 1998 [110], but an experimental implementation at the single-photon level is still awaited. Several problems need to be solved [111, 112]. The main one is the multi-mode character of the light pulses that prevents the realizatio”
Quantum-dot based photonic quantum networks (2017, background): “photon bound state contributions has been interpreted as essentially a ‘no-go theorem’ for quantum computation [65].”