# Publications by Tomi Johnson

## Understanding trafﬁc jams using quantum algorithms

MPhys project, University of Oxford (2009)

An algorithm developed for studying the time evolution of weakly entangled onedimensional (1D) quantum systems is extended to simulate stochastic classical systems. The accuracy and applicability of the algorithm are examined using a number of classical 1D lattice models, which are interpreted in terms of vehicular trafﬁc. Notably, the algorithm is successfully used to describe time evolution away from steady-state. Such situations are difﬁcult to simulate using current methods. Thus the algorithm opens up new possibilities for studying the dynamical behaviour of stochastic classical systems.

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