Quantum Information Theory

This web site is intended to present Quantum Information Theory at an undergraduate level. It is assumed that the reader has a basic understanding of quantum mechanics. The basics of classical information theory are presented, but for greater depth please see the references.

Here are a list of topics in quantum information theory, presented in the order in which you will probably need to read them. Examples are provided for almost every concept.

  1. Quantum Density Matrix
  2. Entropy
  3. Mutual Information and Conditional Entropy
  4. Galois Fields
  5. Classical Coding Theory
  6. Quantum Coding Theory

Notation used in these pages: a prime following a complex number indicates the complex conjugate, a prime following a matrix or operator indicates the Hermitian conjugate. All logarithms in the text are to the base 2, so that information is measured in units of bits. Because not all web browsers support superscripts and subscripts, an underscore precedes subscripts and a carat precedes superscripts. X^2 is "X squared" and X_2 is "X sub 2". Because of the hassle of making bent brackets in HTML, parentheses are used in Dirac notation, bra = (X| and ket = |X).