Programmable coherent linear quantum operations with high-dimensional optical spatial modes

Fang Liu; Kaiyu Cui; Shan Zhang Xue Feng; Shikang Li; Stephen M. Barnett; Wei Zhang; Yidong Huang

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Programmable coherent linear quantum operations with high-dimensional optical spatial modes

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arxiv 2005.06783 v1 pith:DZGN73N5 submitted 2020-05-14 quant-ph physics.optics

Shikang Li , Shan Zhang Xue Feng , Stephen M. Barnett , Wei Zhang , Kaiyu Cui , Fang Liu , Yidong Huang This is my paper

classification quant-phphysics.optics

keywords quantumfidelityhigh-dimensionalspatiallinearmodesoperationsoptical

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A simple and flexible scheme for high-dimensional linear quantum operations on optical transverse spatial modes is demonstrated. The quantum Fourier transformation (QFT) and quantum state tomography (QST) via symmetric informationally complete positive operator-valued measures (SIC POVMs) are implemented with dimensionality of 15. The matrix fidelity of QFT is 0.85, while the statistical fidelity of SIC POVMs and fidelity of QST are ~0.97 and up to 0.853, respectively. We believe that our device has the potential for further exploration of high-dimensional spatial entanglement provided by spontaneous parametric down conversion in nonlinear crystals.

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