## Relativistic Quantum Measurement and Decoherence: Lectures of a Workshop Held at the Istituto Italiano per gli Studi Filosofici Naples, April 9-10, 1999Heinz-Peter Breuer, Francesco Petruccione The development of a consistent picture for the processes of decoherence and quantum measurement requires a treatment which is compatible with the theory of relativity. This volume reviews some of the approaches suggested to solve or circumvent the arising difficulties. Starting from an analysis of the level of compatibility of the measurement problem with the special theory of relativity, the role of non-locality and entanglement are discussed. The subject is also addressed from the point of view of quantum optics and quantum information theory, as well as on the basis of group theoretic and algebraic methods. The emergence of decoherence in quantum electrodynamics is discussed from an open systems perspective. |

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abelian beam-splitter Bell bremsstrahlung classical commutator consistent histories consistent histories approach consistent histories formalism contrary inferences cutoﬀ decoherence function deﬁned deﬁnition degrees of freedom density matrix diﬀerent Dirac’s requirement down-converters dynamical eﬀect eigenstates electron entanglement swapping environment equations of motion event-ready entanglement ﬁnd ﬁnite ﬁrst ﬂip Gaussian Hamiltonian Hence Hilbert space implies inﬁnite inﬂuence phase interaction interpretation of quantum Lett loss of coherence maximally entangled measurement modes non-locality non-relativistic operator ordered consistent histories ordered consistent sets orthogonal outgoing parametric down-conversion particle Petruccione photons Phys physical polarisation problem projections quantum coherence Quantum Electrodynamics quantum histories quantum measurement quantum mechanics quantum theory quasiclassical radiation ﬁeld reduced density matrix representation Schršodinger set of histories space-time special relativity subspace implications super-operator superposition superselection rules transformation unitary unitary transformation vacuum vector wave packets wave-function zero