Preservability of Measurement Incompatibility: Purification, Activation, and a No-Go Theorem
The authors developed a computable measure, RIP(N), to quantify how robust a quantum channel is against measurement incompatibility. They proved that pre-filtering cannot activate an incompatibility-annihilating (IA) channel, but post-filtering operations can stochastically activate it. This provides a practical method for exploiting measurement incompatibility in quantum information processing.