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

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 state...

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Detalles Bibliográficos
Autores: Bent, N.; Qassim, H.; Tahir, A. A.; Sych, D.; Leuchs, Gerd; Sánchez Soto, Luis Lorenzo; Karimi, E.; Boyd, R. W.
Tipo de documento: Artículo
Fecha de publicación:2015
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Lenguaje:Inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/24259
Acceso en línea:https://hdl.handle.net/20.500.14352/24259
Nivel de acceso:Acceso abierto
Palabra clave:535
Mutually unbiased bases
State determination
Angular-momentum
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario: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.