Physics 4999E Study Guide - Final Guide: Density Matrix, Bipartite Graph, Regis

30 views10 pages

Document Summary

Cs 766/qic 820 theory of quantum information (fall 2011) Throughout this lecture we will be discussing pairs of registers of the form (x, y), and the relationships among the states of x, y, and (x, y). The situation generalizes to collections of three or more registers, provided we are interested in bipartitions. For instance, if we have a collection of registers (x1, . Other, multipartite relationships can become more complicated, such as relationships between states of (x1, x2), (x2, x3), and (x1, x2, x3), but this is not the topic of this lecture. Suppose that a pair of registers (x, y) has the state d (x y ). The states of x and y individually are then given by. The states x and y are sometimes called the reduced states of x and y, or the reductions of to x and y. We may also go in the other direction.