Asymptotic convertibility of entanglement: An information-spectrum approach to entanglement concentration and dilution
Yong Jiao, Eyuri Wakakuwa, Tomohiro Ogawa · Journal of Mathematical Physics · 2018
We consider asymptotic convertibility of an arbitrary sequence of bipartite pure states into another by local operations and classical communication (LOCC). We adopt an information-spectrum approach to address cases where each element of the sequences is not necessarily a tensor power of a bipartite pure state. We derive necessary and sufficient conditions for the LOCC convertibility of one sequence to another in terms of spectral entropy rates of entanglement of the sequences. Based on these results, we also provide simple proofs for previously known results on the optimal rates of entanglement concentration and dilution of general sequences of bipartite pure states.