This paper introduces coherent quantum channel discrimination as a coherent version of conventional quantum channel discrimination. Coherent channel discrimination is phrased here as a quantum interactive proof system between a verifier and a prover, wherein the goal of the prover is to distinguish two channels called in superposition in order to distill a Bell state at the end. The key measure considered here is the success probability of distilling a Bell state, and I prove that this success probability does not increase under the action of a quantum super-channel, thus establishing this measure as a fundamental measure of channel distinguishability. Also, I establish some bounds on this success probability in terms of the success probability of conventional channel discrimination. Finally, I provide an explicit semi-definite program that can compute the success probability.
Publication Source (Journal or Book title)
IEEE International Symposium on Information Theory - Proceedings
Wilde, M. (2020). Coherent Quantum Channel Discrimination. IEEE International Symposium on Information Theory - Proceedings, 2020-June, 1915-1920. https://doi.org/10.1109/ISIT44484.2020.9174425