On the existence of physical transformations between sets of quantum states
Anthony Chefles, Richard Jozsa, Andreas Winter
Abstract
Let A = rho1,...,rhon be a given set of quantum states. We consider the problem of finding necessary and sufficient conditions on another set B = sigma1,...,sigman that guarantee the existence of a physical transformation taking rhoi to sigmai 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 conditions for the problem of transformability between A and B when one set is pure and the other is arbitrary.
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