1998/11/26 by A. Criscuolo, A Criscuolo, H. Waelbroeck +1
Computer Science · Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Quantum Computing Algorithms and Architecture #Theoretical and Computational Physics #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/16/6/315
published as Class.Quant.Grav. 16 (1999) 1817-1832 · 28 pages incl. 5 figures
arxiv created 1998/11/26 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We construct a quantum measure on the power set of non-cyclic oriented graphs of N points, drawing inspiration from one-dimensional directed percolation. Quantum interference patterns lead to properties which do not appear to have any analogue in classical percolation. Most notably, instead of the single phase transition of classical percolation, the quantum model displays two distinct crossover points. Between these two points, spacetime questions such as `does the network percolate?' have no definite or probabilistic answer.