This largely self-contained book on the theory of quantum information focuses on precise mathematical formulations and proofs of fundamental facts that form the foundation of the subject. It is intended for graduate students and researchers in mathematics, computer science, and theoretical physics seeking to develop a thorough understanding of key results, proof techniques, and methodologies that are relevant to a wide range of research topics within the theory of quantum information and computation. The book is accessible to readers with an understanding of basic mathematics, including linear algebra, mathematical analysis, and probability theory. An introductory chapter summarizes these necessary mathematical prerequisites, and starting from this foundation, the book includes clear and complete proofs of all results it presents. Each subsequent chapter includes challenging exercises intended to help readers to develop their own skills for discovering proofs concerning the theory of quantum information.

Between Magic and Religion represents a radical rethinking of traditional distinctions involving the term 'religion' in the ancient Greek world and beyond, through late antiquity to the seventeenth century. The title indicates the fluidity of such concepts as religion and magic, highlighting the wide variety of meanings evoked by these shifting terms from ancient to modern times. The contributors put these meanings to the test, applying a wide range of methods in exploring the many varieties of available historical, archaeological, iconographical, and literary evidence. No reader will ever think of magic and religion the same way after reading through the findings presented in this book. Both terms emerge in a new light, with broader applications and deeper meanings.

The essays in this collection addresses questions of intense interest in Homeric studies today: the questions of performance and poet-audience interaction, especially as depicted in idealized performances within the Iliad and the Odyssey; the ways in which epic incorporates material of diverse genres, such as women's laments, blame poetry, or folk tales; how the ideological balance of epic can change and be influenced by 'alternative ideologies' introduced through the incorporation of new material; the implications of the continuity of tradition for etymological studies; and how the traditional nature of epic affects textual criticism. The essays differ in focus and method, but all share one fundamental approach to Homer: an understanding of the Homeric tradition as a poetic system that expresses and preserves what is culturally important and a view of the Homeric epics as instances of a cultural tradition which they attempt to explore through the epics themselves and through the comparative, anthropological, and linguistic evidence they bring to bear on these texts. A unique collection that explores Homeric poetry through a variety of tools and approaches linguistics, philology, cultural anthropology, sociology, textual criticism, and archeology this volume will be of interest to all scholars and students of oral poetry and Classical literature.