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Journal Article

Experimental Realization of Quantum Tomography of Photonic Qudits via Symmetric Informationally Complete Positive Operator-Valued Measures

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Sych,  D.
Optics Theory Group, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Leuchs,  G.
Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

/persons/resource/persons201174

Sanchez-Soto,  L. L.
Guests, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Bent, N., Qassim, H., Tahir, A. A., Sych, D., Leuchs, G., Sanchez-Soto, L. L., et al. (2015). Experimental Realization of Quantum Tomography of Photonic Qudits via Symmetric Informationally Complete Positive Operator-Valued Measures. PHYSICAL REVIEW X, 5(4): 041006. doi:10.1103/PhysRevX.5.041006.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-635E-A
Abstract
Symmetric informationally complete positive operator-valued measures provide efficient quantum state tomography in any finite dimension. In this work, we implement state tomography using symmetric informationally complete positive operator-valued measures for both pure and mixed photonic qudit states in Hilbert spaces of orbital angular momentum, including spaces whose dimension is not power of a prime. Fidelities of reconstruction within the range of 0.81-0.96 are obtained for both pure and mixed states. These results are relevant to high-dimensional quantum information and computation experiments, especially to those where a complete set of mutually unbiased bases is unknown.