De Runyao Duan
We study various aspects of asymptotic entanglement manipulation of general bipartite states under operations that completely preserve positivity of partial transpose (PPT). Our key findings include: i) an additive semi-definite programming (SDP) entanglement measure which is an improved upper bound of the distillable entanglement than the logarithmic negativity; ii) a succinct SDP characterization of the one-copy deterministic distillation rate and an additive upper bound; iii) nonadditivity of Rains’ bound for a class of two-qubit states; and iv) two additive SDP lower bounds to the Rains’ bound and relative entropy of entanglement, respectively. These findings enable us to efficiently evaluate the asymptotic distillable entanglement and entanglement cost for several classes of mixed states. As applications, we show that for any rank-two mixed state supporting on the 3-level anti-symmetric subspace, both the Rains’ bound and its regularization are strictly less than the asymptotic relative entropy of entanglement. That also implies the irreversibility of asymptotic entanglement manipulation under PPT operations, one of the major open problems in quantum information theory. Joint works with Mr Xin Wang (UTS), available at arXiv:1601. 07940, 1605. 00348 and 1606. 09421
De Li Gao
De Rolf Gohm
De Aurelian Gheondea
De Ignacio Villanueva
De Michael Brannan
De Douglas Farenick
De David Pérez-García
De Yoshiko Ogata
De Runyao Duan
De Edward Effros
De Hiroyuki Osaka
De Fumio Hiai
De Magdalena Musat
De Nicholas LaRacuente
De Dan Voiculescu
De Aram Harrow
De Seung-Hyeok Kye
De Albert Schwarz
De Amine Marrakchi
De Juan Camilo Arosemena Serrato
De Albert Schwarz
De Juan Camilo Arosemena Serrato
De Francesca Arici
De Amine Marrakchi
