Quantum Gravity

Kiefer (theoretical physics, U. of Cologne) describes the general features that a quantum theory of gravity is expected to show and gives an up-to-date overview of main approaches, including the quantization of Einstein's theory of general relativity and string theory. His general topics include a general description of quantum gravity, covariant approaches to quantum gravity, parametrized and relational systems, Hamiltonian formulation of general relativity, quantum geometrodynamics, quantum gravity with connections and loops, quantization of black holes, quantum cosmology, string theory, and quantum gravity and the interpretation of quantum theory. This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is not required. The authors provide an introduction to quantum computing. Aimed at advanced undergraduate and beginning graduate students in these disciplines, this text is illustrated with diagrams and exercises A computer is a physical device that helps us process information by executing algorithms.