![]() The latter is shown to have non-multiplicative cv when d > 2. We evaluate the cv exactly for all qubit channels and the Werner-Holevo family of channels. We first provide an entropic characterization of the cv as a generalized conditional min-entropy over the cone of separable operators. The cv also offers a dual interpretation as the classical communication cost for zero-error channel simulation using non-signaling resources. In this work we study the communication value (cv) of channel, which describes the optimal success probability of transmitting a randomly selected classical message over the channel. A final component of this work investigates relaxations of the channel cv to other cones such as the set of operators having a positive partial transpose (PPT).Ībstract = "There are various ways to quantify the communication capabilities of a quantum channel. Combining with previous work on zero-error channel simulation, this implies that the entanglement-assisted cv is the classical communication cost for perfectly simulating a channel using quantum non-signaling resources. We then turn to the entanglement-assisted cv and prove that it is equivalent to the conditional min-entropy of the Choi matrix of the channel. Even stronger, all entanglement-breaking channels and the partially depolarizing channel are shown to have multiplicative cv when used in parallel with any channel. On the other hand, we prove that any pair of qubit channels have multiplicative cv when used in parallel. There are various ways to quantify the communication capabilities of a quantum channel. ![]()
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