Experimental characterization of quantum processes : A selective and efficient method in arbitrary finite dimensions

The temporal evolution of a quantum system can be characterized by quantum process tomography, a complex task that consumes a number of physical resources scaling exponentially with the number of subsystems. An alternative approach to the full reconstruction of a quantum channel allows selecting whi...

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Detalles Bibliográficos
Autores principales: Pears Stefano, Q., Perito, I., Varga, J. J. M., Rebón, Lorena, Iemmi, Claudio
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2021
Materias:
Física
Ciencias Exactas
Quantum Information
Quantum Process Tomography
High Dimensional Photonic States
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/141427
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-141427
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ciencias Exactas
Quantum Information
Quantum Process Tomography
High Dimensional Photonic States
spellingShingle Física
Ciencias Exactas
Quantum Information
Quantum Process Tomography
High Dimensional Photonic States
Pears Stefano, Q.
Perito, I.
Varga, J. J. M.
Rebón, Lorena
Iemmi, Claudio
Experimental characterization of quantum processes : A selective and efficient method in arbitrary finite dimensions
topic_facet Física
Ciencias Exactas
Quantum Information
Quantum Process Tomography
High Dimensional Photonic States
description The temporal evolution of a quantum system can be characterized by quantum process tomography, a complex task that consumes a number of physical resources scaling exponentially with the number of subsystems. An alternative approach to the full reconstruction of a quantum channel allows selecting which coefficient from its matrix description to measure, and how accurately, reducing the amount of resources to be polynomial. The possibility of implementing this method is closely related to the possibility of building a complete set of mutually unbiased bases (MUBs) whose existence is known only when the dimension of the Hilbert space is the power of a prime number. However, an extension of the method that uses tensor products of maximal sets of MUBs, has been introduced recently. Here we explicitly describe how to implement this algorithm to selectively and efficiently estimate any parameter characterizing a quantum process in a non-prime power dimension, and we conducted for the first time an experimental verification of the method in a Hilbert space of dimension d = 6. That is the small space for which there is no known a complete set of MUBs but it can be decomposed as a tensor product of two other Hilbert spaces of dimensions D1 = 2 and D2 = 3, for which a complete set of MUBs is known. The 6-dimensional states were codified in the discretized transverse momentum of the photon wavefront. The state preparation and detection stages are dynamically programmed with the use of only-phase spatial light modulators, in a versatile experimental setup that allows to implement the algorithm in any finite dimension.
format Articulo
Preprint
author Pears Stefano, Q.
Perito, I.
Varga, J. J. M.
Rebón, Lorena
Iemmi, Claudio
author_facet Pears Stefano, Q.
Perito, I.
Varga, J. J. M.
Rebón, Lorena
Iemmi, Claudio
author_sort Pears Stefano, Q.
title Experimental characterization of quantum processes : A selective and efficient method in arbitrary finite dimensions
title_short Experimental characterization of quantum processes : A selective and efficient method in arbitrary finite dimensions
title_full Experimental characterization of quantum processes : A selective and efficient method in arbitrary finite dimensions
title_fullStr Experimental characterization of quantum processes : A selective and efficient method in arbitrary finite dimensions
title_full_unstemmed Experimental characterization of quantum processes : A selective and efficient method in arbitrary finite dimensions
title_sort experimental characterization of quantum processes : a selective and efficient method in arbitrary finite dimensions
publishDate 2021
url http://sedici.unlp.edu.ar/handle/10915/141427
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AT rebonlorena experimentalcharacterizationofquantumprocessesaselectiveandefficientmethodinarbitraryfinitedimensions
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bdutipo_str Repositorios
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