Tell-tale topology

Daniel Moskovich, Avishy Y. Carmi

Tangle machines are a topologically inspired diagrammatic formalism to describe information flow in networks. This paper begins with an expository account of tangle machines motivated by the problem of describing `covariance intersection' fusion of Gaussian estimators in networks. It then gives two examples in which tangle machines tell stories of adiabatic quantum computations, and discusses learning tangle machines from data.

M. Socolovsky

Federico Levi

D. J. Thouless

Noa Segev, David J. Wineland

This article is based on an interview between the two authors. Small particles, such as single photons, electrons, atoms or charged atoms (called ions), can experience a very different world from that which we usually perceive. While in our daily life, things seem to be reasonably predictable, continuous, and well-defined, in the “quantum” world of single or small numbers of particles, there are surprises and many unexpected “non-classical” behaviors. In addition to its complexity, the world of small particles opens up some very interesting possibilities for applications to practical problems. To take advantage of the amazing properties of small particles, scientists and other researchers have developed various techniques for holding and isolating photons, electrons, atoms, and ions and manipulating their behavior. In this article, we will try to give you a glance into the fascinating lives of small particles, tell you about techniques for working with them, and mention exciting new potential applications that take advantage of their unique behaviors.