In this paper we implement a simple quantum algorithm using polarization and transverse spatial modes of the electromagnetic field as qubits. The transverse spatial modes used are the Laguerre–Gaussian and Hermite–Gaussian beams of order N = 1. With these two qubits carried by the same photon, we have implemented the Deutsch algorithm using a simple linear optical setup.
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Oliveira et al. (2005) studied this question.
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