Selective and efficient quantum process tomography

In this paper we describe in detail and generalize a method for quantum process tomography that was presented by Bendersky [Phys. Rev. Lett. 100, 190403 (2008)]. The method enables the efficient estimation of any element of the χ matrix of a quantum process. Such elements are estimated as averages o...

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Detalles Bibliográficos
Autores principales:	Bendersky, Ariel Martín, Paz, Juan Pablo
Publicado:	2009
Materias:	Diagonal elements Efficient estimation Efficient method matrix Off-diagonal elements Quantum process Quantum process tomography Random sampling Estimation Tomography Quantum efficiency
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v80_n3_p_Bendersky http://hdl.handle.net/20.500.12110/paper_10502947_v80_n3_p_Bendersky
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10502947_v80_n3_p_Bendersky
record_format	dspace
spelling	paper:paper_10502947_v80_n3_p_Bendersky2023-06-08T16:02:33Z Selective and efficient quantum process tomography Bendersky, Ariel Martín Paz, Juan Pablo Diagonal elements Efficient estimation Efficient method matrix Off-diagonal elements Quantum process Quantum process tomography Random sampling Estimation Tomography Quantum efficiency In this paper we describe in detail and generalize a method for quantum process tomography that was presented by Bendersky [Phys. Rev. Lett. 100, 190403 (2008)]. The method enables the efficient estimation of any element of the χ matrix of a quantum process. Such elements are estimated as averages over experimental outcomes with a precision that is fixed by the number of repetitions of the experiment. Resources required implementing it scale polynomially with the number of qubits of the system. The estimation of all diagonal elements of the χ matrix can be efficiently done without any ancillary qubits. In turn, the estimation of all the off-diagonal elements requires an extra clean qubit. The key ideas of the method, which is based on efficient estimation by random sampling over a set of states forming a 2-design, are described in detail. Efficient methods for preparing and detecting such states are explicitly shown. © 2009 The American Physical Society. Fil:Bendersky, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v80_n3_p_Bendersky http://hdl.handle.net/20.500.12110/paper_10502947_v80_n3_p_Bendersky
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Diagonal elements Efficient estimation Efficient method matrix Off-diagonal elements Quantum process Quantum process tomography Random sampling Estimation Tomography Quantum efficiency
spellingShingle	Diagonal elements Efficient estimation Efficient method matrix Off-diagonal elements Quantum process Quantum process tomography Random sampling Estimation Tomography Quantum efficiency Bendersky, Ariel Martín Paz, Juan Pablo Selective and efficient quantum process tomography
topic_facet	Diagonal elements Efficient estimation Efficient method matrix Off-diagonal elements Quantum process Quantum process tomography Random sampling Estimation Tomography Quantum efficiency
description	In this paper we describe in detail and generalize a method for quantum process tomography that was presented by Bendersky [Phys. Rev. Lett. 100, 190403 (2008)]. The method enables the efficient estimation of any element of the χ matrix of a quantum process. Such elements are estimated as averages over experimental outcomes with a precision that is fixed by the number of repetitions of the experiment. Resources required implementing it scale polynomially with the number of qubits of the system. The estimation of all diagonal elements of the χ matrix can be efficiently done without any ancillary qubits. In turn, the estimation of all the off-diagonal elements requires an extra clean qubit. The key ideas of the method, which is based on efficient estimation by random sampling over a set of states forming a 2-design, are described in detail. Efficient methods for preparing and detecting such states are explicitly shown. © 2009 The American Physical Society.
author	Bendersky, Ariel Martín Paz, Juan Pablo
author_facet	Bendersky, Ariel Martín Paz, Juan Pablo
author_sort	Bendersky, Ariel Martín
title	Selective and efficient quantum process tomography
title_short	Selective and efficient quantum process tomography
title_full	Selective and efficient quantum process tomography
title_fullStr	Selective and efficient quantum process tomography
title_full_unstemmed	Selective and efficient quantum process tomography
title_sort	selective and efficient quantum process tomography
publishDate	2009
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v80_n3_p_Bendersky http://hdl.handle.net/20.500.12110/paper_10502947_v80_n3_p_Bendersky
work_keys_str_mv	AT benderskyarielmartin selectiveandefficientquantumprocesstomography AT pazjuanpablo selectiveandefficientquantumprocesstomography
_version_	1768544049590960128

Selective and efficient quantum process tomography

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