Before revision:  Using concepts from information theory  we show that  a signaling pathway transmits more information if 1) the noise of one input is correlated with that of the other, and 2) the input signals are not chosen independently.
After revision:  Using concepts from information theory we show that in general a signaling pathway transmits more information if 1) the noise of one input is correlated with that of the other, and 2) the input signals are not chosen independently.