Some bipartite states do not arise from channels

Some bipartite states do not arise from channels

It is well-known that the action of a quantum channel on a state can be represented, using an auxiliary space, as the partial trace of an associated bipartite state. Recently, it was observed that for the bipartite state associated with the optimal average input of the channel, the entanglement of formation is simply the entropy of the reduced density matrix minus the Holevo capacity. It is nat...

Elliptic Curves Do Arise from Ellipses

We show that the locus of the foci of a family of ellipses that are tangential to the sides of a triangle with one prescribed point of tangency is an elliptic curve. We further show that every isomorphism class of elliptic curves over an algebraically closed field K of char(K) 6= 2, 3 can be realized in this manner. On varying the triangle, one can get all elliptic curves over an algebraically ...

All bipartite entangled States display some hidden nonlocality.

One of the most significant and well-known properties of entangled states is that they may lead to violations of Bell inequalities and are thus inconsistent with any local-realistic theory. However, there are entangled states that cannot violate any Bell inequality, and in general the precise relationship between entanglement and observable nonlocality is not well understood. We demonstrate tha...

Volume-Sensitive Chloride Channels Do Not

Neosquamous epithelium does not typically arise from Barrett's epithelium.

PURPOSE Neosquamous epithelium (NSE) can arise within Barrett's esophagus as a consequence of medical or surgical acid reduction therapy, as well as after endoscopic ablation. Morphologic studies have suggested that NSE can develop from adjacent squamous epithelium, submucosal gland ducts, or multipotent progenitor cell(s) that can give rise to either squamous or Barrett's epithelium, depending...