Activated zero-error classical communication over quantum channels assisted with quantum no-signalling correlations

Understand

We study the activated quantum no-signalling-assisted zero-error classical capacity by first allowing the assistance from some noiseless forward communication channel and later paying back the cost of the helper.

• This activated communication model considers the additional forward noiseless channel as a catalyst for communication.
• First, we show that the one-shot activated capacity can be formulated as a semidefinite program and we derive a number of striking properties of this capacity.
• We further present a sufficient condition under which a noisy channel can be activated.