Universal quantum state merging

Abstract

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.

35 pages, 0 figures, Accepted for publication in J. Math. Phys

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Cited by in corpus (4)

• Optical Interferometry with Quantum Networks
• Distillation of secret key from a class of compound memoryless quantum sources
• Resource cost results for one-way entanglement distillation and state merging of compound and arbitrarily varying quantum sources
• Resource Cost Results for Entanglement Distillation and State Merging under Source Uncertainties