Introduction to Quantum Information Processing
  As a result of the capabilities of quantum information, the science of quantum information processing is now a prospering, interdisciplinary field focused on better understanding the possibilities and limitations of the underlying theory, on developing new applications of quantum information and on physically realizing controllable quantum devices. The purpose of this primer is to provide an elementary introduction to quantum information processing, and then to briefly explain how we hope to exploit the advantages of quantum information. These two sections can be read independently. For reference, we have included a glossary of the main terms of quantum information. 
E. Knill, R. Laflamme, H. Barnum, D. Dalvit, J. Dziarmaga, J.   Gubernatis, L. Gurvits, G. Ortiz, L. Viola, W.H. Zurek