Abstract Coherence is a basic feature for quantum states. Instead of states, in this work, we establish resource theory quantifying the coherence Gaussian channels. To do this, propose definitions incoherent channels and superchannels.

Week 10 (11/30/2009) . . . . . . . . . . . . . . . . . . . . . . . . . 49 Gaussian Channels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Parallel Gaussian Channels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Non-white Gaussian noise channels . . . . . . . . . . . . . . . . . . . . . ...