Probabilistic quantum cloning of N quantum states
Quantum Physics
2019-05-07 v1 Mathematical Physics
math.MP
Applied Physics
Abstract
Probabilistically creating n perfect clones from m copies for one of N priori known quantum states with minimum failure probability is a long-standing problem. We provide a rigorous proof for the geometric approach to this probabilistic quantum cloning problem when N = 2. Then, we give the general geometric form of the sufficient and necessary condition of probabilistic cloning for N known quantum states. By this general geometric approach, we realize the optimal probabilistic quantum cloning of N known quantum states with priori probabilities. The results are also applicable to the identification of those N quantum states.
Cite
@article{arxiv.1905.01878,
title = {Probabilistic quantum cloning of N quantum states},
author = {Haixin Liu and Heng Fan},
journal= {arXiv preprint arXiv:1905.01878},
year = {2019}
}