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Quantum causal histories

Research paper by Fotini Markopoulou

Indexed on: 28 Jan '00Published on: 28 Jan '00Published in: High Energy Physics - Theory



Abstract

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.