Among the most exciting developments in science today is the design an d construction of the quantum computer. Mathematics lies at the heart of theoretical quantum computer science-designing fast, efficient quan tum algorithms and analyzing their complexity is the work of the mathe matician. Few published books on quantum computation are currently ava ilable and none satisfactorily cover its mathematical theory. In this book, an interdisciplinary team of top researchers explores some of th e latest mathematical results in quantum computation and information. They provide both introductory...