Eli Hawkins et al 2003 Class. Quantum Grav. 20 3839 doi:10.1088/0264-9381/20/16/320
Evolution in quantum causal histories
Eli Hawkins1, Fotini Markopoulou2,3 and Hanno Sahlmann4
Show affiliationsWe provide a precise definition and analysis of quantum causal histories (QCHs). A QCH consists of a discrete, locally finite, causal pre-spacetime with matrix algebras encoding the quantum structure at each event. The evolution of quantum states and observables is described by completely positive maps between the algebras at causally related events. We show that this local description of evolution is sufficient and that unitary evolution can be recovered wherever it should actually be expected. This formalism may describe a quantum cosmology without an assumption of global hyperbolicity; it is thus more general than the Wheeler–De Witt approach. The structure of a QCH is also closely related to quantum information theory and algebraic quantum field theory on a causal set.
- PACS
- MSC
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83C47 Methods of quantum field theory (See also 81T20)
15A30 Algebraic systems of matrices (See also 16S50, 20Gxx, 20Hxx)
- Subjects
- Dates
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Issue 16 (21 August 2003)
Received 17 March 2003
Published 4 August 2003
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Evolution in quantum causal histories
Eli Hawkins et al 2003 Class. Quantum Grav. 20 3839
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-
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-
Tungsten accumulation in H-mode plasmas of JT-60U
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-
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-
Numerical methods for Hamiltonian PDEs
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-
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-
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-
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