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oai:docta.ucm.es:20.500.14352/242592023-08-25T20:51:58Zcom_20.500.14352_14col_20.500.14352_15

Experimental Realization of Quantum Tomography of Photonic Qudits via Symmetric Informationally Complete Positive Operator-Valued Measures Bent, N. Qassim, H. Tahir, A. A. Sych, D. Leuchs, Gerd Sánchez Soto, Luis Lorenzo Karimi, E. Boyd, R. W. 535 Mutually unbiased bases State determination Angular-momentum Óptica (Física) 2209.19 Óptica Física © 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). 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. Canada Excellence Research Chairs (CERC) Program Defense Advanced Research Projects Agency (DARPA), EE.UU. DARPA InPho (Information in a Photon) Program Ministerio de Econnomía y Competitividad (MINECO), España Universidad Complutense de Madrid (UCM) Banco Santander Central Hispano (BSCH) Depto. de Óptica Fac. de Ciencias Físicas TRUE pub 2023-06-18T06:48:31Z 2023-06-18T06:48:31Z 2015-10-15 journal article https://hdl.handle.net/20.500.14352/24259 2160-3308 10.1103/PhysRevX.5.041006 eng FIS2011-26786 UCM-BSCH GR3/14 open access application/pdf American Physical Society