Abstract
Exploiting spatial modes and polarization, we experimentally demonstrate the realization of a condi- tional π -phase shift. Our approach is based on an opti- cal circuit where the polarization and transverse degrees of freedom control the Gouy phase which is applied on Hermite-Gaussian beams. Our results show good agree- ment with the simulation of the optical circuit. As an application, we propose the implementation of a two- qubit quantum phase gate, where the qubits are encoded on the Hermite-Gaussian modes and linear polarization states.
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