Quantum gates utilizing dark and bright states in open dissipative cavity QED

We present a general formalism and specific implementation of quantum gates based on interaction of single photons with open dissipative nanocavities containing ensembles of quantum emitters. Rich dynamics of entangled bright and dark states of quantum emitters coupled to a nanocavity field gives rise to efficient manipulation of the quantum state of an incident photon. In its simplest implementation, an initial preparation of the state of quantum emitters by a classical optical pulse controls the polarization state of the reflected photon.