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

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posted on 2023-11-30, 19:48 authored by Shikang Li, Shan Zhang Xue Feng, Stephen M. Barnett, Wei Zhang, Kaiyu Cui, Fang Liu, Yidong Huang
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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