Physics 4999E Study Guide - Final Guide: Dephasing, Principal Value, Quantum Teleportation

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Cs 766/qic 820 theory of quantum information (fall 2011) Lecture 6: further remarks on measurements and channels. In this lecture we will discuss a few loosely connected topics relating to measurements and channels. These discussions will serve to illustrate some of the concepts we have discussed in previous lectures, and are also an opportunity to introduce a few notions that will be handy in future lectures. We begin with two simple points concerning measurements. The rst explains how measure- ments may be viewed as special types of channels, and the second introduces the notion of nondestructive measurements (which were commented on brie y in lecture 3). Suppose that we have a measurement : pos (x ) on a register x. When this measurement is performed, x ceases to exist, and the measurement result is transmitted to some hypothetical observer that we generally think of as being external to the system being described or considered.