One-half reflected entropy is not a lower bound for entanglement of purification

Josiah Couch, Phuc Nguyen, Sarah Racz +2

In recent work, Akers et al. proved that the entanglement of purification $E_p(A:B)$ is bounded below by half of the $q$-Rényi reflected entropy $S_R^{(q)}(A:B)$ for all $q\ge 2$,…