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Quantum state tomography via compressed sensing method. (a) and (b) Projective measurements. (c) and (d) Reconstructed density matrices.
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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 fideli...
Contexts in source publication
Context 1
... randomly choosing 100 out of totally 225 SIC POVMs, QST is performed via compressed sensing method [28]. Fig.5 [29], between theoretical and experimental probability distributions corresponding to the histograms in Fig These results suggest that our method is valid in arbitrary linear quantum operations up to 15 dimensions and it is the first implementation of SIC POVMs on 15-dimension photonic qudits to the best of our knowledge [26]. ...
Context 2
... experimental results of state tomography with classical laser source are presented in Fig. 4. Additional data for quantum state tomography that are not included in the main text are displayed in Fig. 5. Fig. 4 presents four groups of experimental results. The three columns in Fig. 4 indicate results of SIC POVMs, experimental density matrices, theoretical density matrices, respectively. Fig. 4(a) ...
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