0 Ju l 2 00 3 On the existence of physical transformations between sets of quantum states

@inproceedings{Chefles20040JL,
title={0 Ju l 2 00 3 On the existence of physical transformations between sets of quantum states},
author={Anthony Chefles and Richard Jozsa and Andreas Winter},
year={2004}
}

Let A = {ρ1, . . . , ρn} be a given set of quantum states. We consider the problem of finding necessary and sufficient conditions on another set B = {σ1, . . . , σn} that guarantee the existence of a physical transformation taking ρi to σi for all i. Uhlmann has given an elegant such condition when both sets comprise pure states. We give a simple proof of this condition and develop some consequences. Then we consider multi-probabilistic transformations between sets of pure states which leads to… CONTINUE READING