Physics 4999E Study Guide - Final Guide: Euclidean Space, Row And Column Vectors, Linear Algebra

• School: Western University
• Department: Physics
• Course: Physics 4999E
• Professor: john stockholm

Document Summary

Cs 766/qic 820 theory of quantum information (fall 2011) Welcome to cs 766/qic 820 theory of quantum information. The goal of this lecture, as well as the next, is to present a brief overview of some of the basic mathematical concepts and tools that will be important in subsequent lectures of the course. In this lecture we will discuss various facts about linear algebra and analysis in nite-dimensional vector spaces. We begin with the simple notion of a complex euclidean space. Lecture 3), we associate a complex euclidean space with every discrete and nite physical system; and fundamental notions such as states and measurements of systems are represented in linear- algebraic terms that refer to these spaces. Any vector space de ned in this way for some choice of a nite, nonempty set will be called a complex euclidean space.