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

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Bent, N. and Qassim, H. and Tahir, A. A. and Sych, D. and Leuchs, G. and Sánchez Soto, Luis Lorenzo and Karimi, E. and Boyd, R. W. (2015) Experimental Realization of Quantum Tomography of Photonic Qudits via Symmetric Informationally Complete Positive Operator-Valued Measures. Physical Review X, 5 (4). 041006_1-041006_12. ISSN 2160-3308

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Official URL: http://dx.doi.org/10.1103/PhysRevX.5.041006


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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.


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© American Physical Society.
The authors thank Markus Grassl and Joseph M. Renes for fruitful discussions. The authors acknowledge the support of the Canada Excellence Research Chairs (CERC) Program. R.W. B. was supported by the DARPA InPho program. L. L. S.-S. acknowledges support from the Spanish MINECO (Grant No. FIS2011-26786) and the Program UCM-BSCH (Grant No. GR3/14).

Uncontrolled Keywords:Mutually unbiased bases; State determination; Angular-momentum
Subjects:Sciences > Physics > Optics
ID Code:34803
Deposited On:11 Dec 2015 19:40
Last Modified:11 Dec 2015 19:40

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