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arXiv · 1905.01878

Probabilistic quantum cloning of N quantum states

Haixin Liu·Heng Fan
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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.

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Haixin Liu, Heng Fan. 2019-05-06. Probabilistic quantum cloning of N quantum states. https://arxiv.org/abs/1905.01878

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