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This book provides an up-to-date account of current research in quantum information theory, at the intersection of theoretical computer science, quantum physics, and mathematics. The book confronts many unprecedented theoretical challenges generated by infi nite dimensionality and memory effects in quantum communication. The book will also equip readers with all the required mathematical tools to understand these essential questions.
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In this volume is presented an edition, with translation and introduction, of the commentary on Esthera "the first completely extant representative of this medieval Jewish genrea "by Yefet ben a ~Eli ha-Levi, one of the preeminent litterateurs of the Karaite a oeGolden Agea (10tha "11th centuries).
For 40 years, the Index Nominum has been the indispensable standard reference work on medications, brand names, synonyms, chemical structures, and therapeutic classes of substances, providing orientation in the international pharmaceutical market. This Seventeenth Edition has been completely revised, restructured, and given a new layout. It now includes each active substance's German, French, Spanish, and Latin names, anatomical therapeutical chemical classification (ATC) code, and molecular mass. With its clear layout, visual aids, and easily searchable information, the Index Nominum 2000 provides all the essentials at your fingertips.
This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory. Further, this Second Edition collects in one volume a number of useful rigorous results on the mathematical structure of quantum mechanics focusing in particular on von Neumann algebras, Superselection rules, the various notions of Quantum Symmetry and Symmetry Groups, and including a number of fundamental results on the algebraic formulation of quantum theories. Intended for Master's and PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book also benefits established researchers by organizing and presenting the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly."