Quantum causal histories

Details Quantum causal histories Quantum causal histories

1999-04-01

arxiv.org/abs/hep-th/9904009v5

Class.Quant.Grav. 17 (2000) 2059-2072

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, epsfig latex. Some clarifications, minor corrections and references added. Version to appear in Classical and Quantu

Scientific paper

10.1088/0264-9381/17/10/302

Quantum causal histories are defined to be causal sets with Hilbert spaces attached to each event and local unitary evolution operators. The reflexivity, antisymmetry, and transitivity properties of a causal set are preserved in the quantum history as conditions on the evolution operators. A quantum causal history in which transitivity holds can be treated as ``directed'' topological quantum field theory. Two examples of such histories are described.

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