Evolution in quantum causal histories

Journal article
(Original article)

Publication Details

Author(s): Hawkins E, Markopoulou F, Sahlmann H
Journal: Classical and Quantum Gravity
Publisher: Institute of Physics: Hybrid Open Access
Publication year: 2003
Volume: 20
Journal issue: 16
Pages range: 3839-3854
ISSN: 0264-9381


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.

FAU Authors / FAU Editors

Sahlmann, Hanno Prof. Dr.
Professur für Theoretische Physik

External institutions
University of York

How to cite

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

Hawkins, Eli, Fotini Markopoulou, and Hanno Sahlmann. "Evolution in quantum causal histories." Classical and Quantum Gravity 20.16 (2003): 3839-3854.


Last updated on 2018-03-11 at 13:50