Entanglement distillation toward minimal bond cut surface in tensor networks

Minimal cut sets in biochemical reaction networks

MOTIVATION Structural studies of metabolic networks yield deeper insight into topology, functionality and capabilities of the metabolisms of different organisms. Here, we address the analysis of potential failure modes in metabolic networks whose occurrence will render the network structurally incapable of performing certain functions. Such studies will help to identify crucial parts in the net...

Distillation and bound entanglement

Renormalising entanglement distillation

It has long been noted in the field of quantum information science that entanglement constitutes the key resource in various information processing and specifically communication tasks [1]. Secure quantum key distribution necessarily relies on entanglement, even in a sense in prepare and measure schemes [2–4]. One of the main efforts in quantum information science has therefore been directed to...

Assisted entanglement distillation

Motivated by the problem of designing quantum repeaters, we study entanglement distillation between two parties, Alice and Bob, starting from a mixed state and with the help of “repeater” stations. To treat the case of a single repeater, we extend the notion of entanglement of assistance to arbitrary mixed tripartite states and exhibit a protocol, based on a random coding strategy, for extracti...

On bound entanglement assisted distillation

We investigate asymptotic distillation of entanglement in the presence of an unlimited amount of bound entanglement for bi-partite systems. We show that the distillability is still bounded by the relative entropy of entanglement. This offers a strong support to the fact that bound entanglement does not improve distillation of entanglement. PACS number(s): 03.65.Bz, 89.70.+c,89.80.+h keywords: e...