This unique compendium covers the core theory of quantum computation and deeply emphasizes the mathematical fundamentals, including full proofs of most of its major results. There are over 200 exercises with a wide range of difficulties — from routine calculations to challenging proofs with hints — gathered at the ends of chapters.This useful reference text benefits professionals, researchers. academics and largely first-year graduate students and upper-level undergraduates in the fields of theoretical computer science, information theory and linear algebra.