Preface Acknowledgements Biography 1 Introduction 1.1 Quantum information 1.2 Quantum communications 1.3 Quantum computing 1.4 Quantum sensors 1.5 Relativistic quantum information 1.6 Summary 2 Special and general relativity 2.1 Special relativity 2.2 Lorentz transformations 2.3 Lagrangian dynamics 2.4 The principle of equivalence 2.4.1 Particle dynamics in a gravitational field 2.4.2 Torsion 2.4.3 Geodesics and geodesic congruences 2.5 The principle of general covariance 2.5.1 Tensor analysis 2.5.2 Covariant derivatives 2.5.3 The coordinate basis 2.5.4 The minimal substitution rule 2.5.5 The energy-momentum tensor 2.5.6 The Euler-Lagrange equations 2.6 The Hamilton-Jacobi equations 2.7 Einstein's field equations 2.8 Principles of conservation 2.9 Killing vectors 2.10 Tetrad fields 2.11 Spin in general relativity 2.12 The spin-curvature coupling 2.13 Summary 3 Relativistic quantum fields 3.1 The Schrodinger equation 3.2 The Klein-Gordon equation 3.3 Scalar quantum fields 3.4 The quantum Poincare transformations 3.5 Wigner rotations 3.5.1 Massive particles 3.5.2 Massless particles 3.6 The Dirac equation 3.6.1 SO(3) and SU(2) 3.6.2 SL(2,C) and SO+(3,1) 3.6.3 Four-spinors 3.6.4 Particle dynamics 3.6.5 Free particle spinors 3.6.6 Spin and helicity 3.7 Dirac quantum fields 3.8 Group representations in quantum field theory