Linear optics simulations of the quantum baker's map - art. no. 012304

The unitary evolution of linear optics can be used to model quantum computa tional networks. In this paper, a quantum simulation of a classically chaot ic map (the baker's map) is developed using linear optics. Two different mo dels are presented. The first model employs only 50-50 beam splitters and p hase shifters to simulate universal 2-qubit gates of a quantum computer. Th e second model uses the discrete Fourier transform generated by symmetric N X N fiber couplers. If single photons are used as inputs for these linear optics models, the result is a physical realization of the quantum baker's map.