Given two pairs of quantum states. we want to decide if there exists a quantum channel that transforms one pair into the other. The theory of quantum statistical comparison and quantum relative majorization provides necessary and sufficient conditions for such a transformation to exist. but such conditions are typically difficult to check in practice. https://lsmnadsm2iyoiy.timeblog.net/70682795/physical-inactivity-non-communicable-diseases-and-national-fitness-plan-of-china-for-physical-activity