Complexity Digest 2003.09 - 04

03-Mar-2003

Knotty Calculations, Science News Bookmark and Share

Excerpts: At the heart of the connection between computer science and quantum physics is a knot invariant called the Jones polynomial, which associates a given knot with an array of numbers. The Jones polynomial involves a complex mathematical formula, and although calculating it is easy for simple knots, it is enormously difficult for messy, tangled knots. (...) In the late 1980s, physicist Edward Witten, a major figure in string theory (...), described a physical system that should calculate information about the Jones polynomial during the course of its regularly scheduled activities (...).