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

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 w...

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Detalles Bibliográficos
Autores principales:	Pears Stefano, Quimey Martín, Rebón, Lorena, Ledesma, Silvia Adriana, Iemmi, Claudio César
Formato:	Articulo Preprint
Lenguaje:	Inglés
Publicado:	2017
Materias:	Física Quantum information Quantum state tomography High dimensional quantum states Quantum optic implementation
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/99211 https://ri.conicet.gov.ar/11336/50049
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-99211
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Quantum information Quantum state tomography High dimensional quantum states Quantum optic implementation
spellingShingle	Física Quantum information Quantum state tomography High dimensional quantum states Quantum optic implementation 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
topic_facet	Física Quantum information Quantum state tomography High dimensional quantum states Quantum optic implementation
description	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 d2. 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.
format	Articulo Preprint
author	Pears Stefano, Quimey Martín Rebón, Lorena Ledesma, Silvia Adriana Iemmi, Claudio César
author_facet	Pears Stefano, Quimey Martín Rebón, Lorena Ledesma, Silvia Adriana Iemmi, Claudio César
author_sort	Pears Stefano, Quimey Martín
title	Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry
title_short	Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry
title_full	Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry
title_fullStr	Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry
title_full_unstemmed	Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry
title_sort	determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry
publishDate	2017
url	http://sedici.unlp.edu.ar/handle/10915/99211 https://ri.conicet.gov.ar/11336/50049
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Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry

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