Ordering quantum states and channels based on positive Bayesian evidence

@article{Wetering2018OrderingQS,
title={Ordering quantum states and channels based on positive Bayesian evidence},
author={J. V. D. Wetering},
journal={Journal of Mathematical Physics},
year={2018},
volume={59},
pages={102201}
}

In this paper, we introduce a new partial order on quantum states that considers which states can be achieved from others by updating on “agreeing” Bayesian evidence. We prove that this order can also be interpreted in terms of minimising worst case distinguishability between states using the concept of quantum max-divergence. This order solves the problem of which states are optimal approximations to their more pure counterparts, and it shows in an explicit way that a proposed quantum analog… Expand