Universal quantum state merging

Details Universal quantum state merging Universal quantum state merging

2011-06-15

arxiv.org/abs/1106.2850v2

Physics

Quantum Physics

33 pages, 0 figures, extended and uptaded version. Section on the classical costs of quantum state merging under state uncerta

Scientific paper

We determine the optimal entanglement rate of quantum state merging when assuming that the state is unknown except for its membership in a certain set of states. We find that merging is possible at the lowest rate allowed by the individual states. Additionally, we establish a lower bound for the classical cost of state merging under state uncertainty. To this end we give an elementary proof for the cost in case of a perfectly known state which makes no use of the "resource framework". As applications of our main result, we determine the capacity for one-way entanglement distillation if the source is not perfectly known. Moreover, we give another achievability proof for the entanglement generation capacity over compound quantum channels.

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