On the complementary quantum capacity of the depolarizing channel
Keyword(s):
The qubit depolarizing channel with noise parameter η transmits an input qubit perfectly with probability 1−η, and outputs the completely mixed state with probability η. We show that its complementary channel has positive quantum capacity for all η>0. Thus, we find that there exists a single parameter family of channels having the peculiar property of having positive quantum capacity even when the outputs of these channels approach a fixed state independent of the input. Comparisons with other related channels, and implications on the difficulty of studying the quantum capacity of the depolarizing channel are discussed.
Keyword(s):
2007 ◽
Vol 05
(01n02)
◽
pp. 119-124
Keyword(s):
2017 ◽