Evolution in quantum causal histories
Hawkins E, Markopoulou F, Sahlmann H (2003)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2003
Journal
Publisher: Institute of Physics: Hybrid Open Access
Book Volume: 20
Pages Range: 3839-3854
Journal Issue: 16
DOI: 10.1088/0264-9381/20/16/320
Abstract
We 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.
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APA:
Hawkins, E., Markopoulou, F., & Sahlmann, H. (2003). Evolution in quantum causal histories. Classical and Quantum Gravity, 20(16), 3839-3854. https://dx.doi.org/10.1088/0264-9381/20/16/320
MLA:
Hawkins, Eli, Fotini Markopoulou, and Hanno Sahlmann. "Evolution in quantum causal histories." Classical and Quantum Gravity 20.16 (2003): 3839-3854.
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