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Several novel schemes are studied which pave the way to deterministic quantum logic with photons. In one of such schemes, a weak (quantum) probe pulse, upon propagating through the medium, interacts with the forward and backward components of a weak signal pulse that is dynamically trapped in a photonic band-gap structure. In an alternative scheme, the two pulses propagate in the opposite directions in the EIT medium and interact with each other via strong, long-range dipole-dipole interaction between Rydberg states of the atoms. Both schemes are capable of implementing with high fidelity the conditional phase gate between two single-photon pulses, under physically realistic, experimentally accessible conditions.