1305.6250 (Wataru Kumagai et al.)

Trade-off between Performance and Reversibility of Entanglement
Concentration for Pure Entangled State    [PDF]

Wataru Kumagai, Masahito Hayashi

It is thought that the entanglement concentration for a bipartite pure state is asymptotically reversible because the distillable entanglement and the entanglement cost coincide with each other. In order to examine this argument, we give precise formulation about the reversibility of the entanglement concentration, and show a trade-off relation between the accuracy and the reversibility of the concentration, which implies the irreversibility of the entanglement concentration. Then, we regard the entanglement concentration as entangled state compression into entanglement storage with lower dimension. Because of the irreversibility of entanglement concentration, an initial state can not be completely recovered after the compression process and loss inevitably arise in the process. We numerically calculate the loss and also derive the asymptotic formula. Then we see that the approximation of the asymptotic formula is quite accurate.

View original: http://arxiv.org/abs/1305.6250