On the existence of physical transformations between sets of quantum states

Details On the existence of physical transformations between sets of quantum states On the existence of physical transformations between sets of quantum states

2003-07-30

arxiv.org/abs/quant-ph/0307227v1

Physics

Quantum Physics

Latex2e, 8 pages

Scientific paper

Let A = {rho_1,...,rho_n} be a given set of quantum states. We consider the problem of finding necessary and sufficient conditions on another set B = {sigma_1,...,sigma_n} that guarantee the existence of a physical transformation taking rho_i to sigma_i 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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