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Artículo

Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry

Pears Stefano, Quimey MartínIcon ; Rebón, LorenaIcon ; Ledesma, Silvia AdrianaIcon ; Iemmi, Claudio CésarIcon
Fecha de publicación: 12/2017
Editorial: American Physical Society
Revista: Physical Review A
ISSN: 2469-9934
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Astronomía

Resumen

We present a proof-of-principle demonstration of a method to characterize any pure spatial qudit of arbitrary dimension d, which is based on the classic phase-shift interferometry technique. In the proposed scheme a total of only 4d measurement outcomes are needed, implying a significant reduction with respect to the standard schemes for quantum-state tomography which require on the order of d^2. By using this technique, we have experimentally reconstructed a large number of states ranging from d=2 up to 14 with mean fidelity values higher than 0.97. For that purpose the qudits were codified in the discretized transverse-momentum position of single photons, once they are sent through an aperture with d slits. We provide an experimental implementation of the method based in a Mach-Zehnder interferometer, which allows one to reduce the number of measurement settings to four since the d slits can be measured simultaneously. Furthermore, it can be adapted to consider the reconstruction of the unknown state from the outcome frequencies of 4d−3 fixed projectors independently of the encoding or the nature of the quantum system, allowing one to implement the reconstruction method in a general experiment.
Palabras clave: QUANTUM INFORMATION , QUANTUM STATE TOMOGRAPHY , HIGH DIMENSIONAL QUANTUM STATES , QUANTUM OPTIC IMPLEMENTATION
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)
Identificadores
URI: http://hdl.handle.net/11336/50049
DOI: http://dx.doi.org/10.1103/PhysRevA.96.062328
URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.062328
Colecciones
Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Citación
Pears Stefano, Quimey Martín; Rebón, Lorena; Ledesma, Silvia Adriana; Iemmi, Claudio César; Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry; American Physical Society; Physical Review A; 96; 6; 12-2017; 1-6
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