Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Selective and efficient quantum process tomography |
Autor: | Bendersky, A.; Pastawski, F.; Paz, J.P. |
Filiación: | Departamento de Física, FCEyN, Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany
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Palabras clave: | Diagonal elements; Efficient estimation; Efficient method; matrix; Off-diagonal elements; Quantum process; Quantum process tomography; Random sampling; Estimation; Tomography; Quantum efficiency |
Año: | 2009
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Volumen: | 80
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Número: | 3
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DOI: |
http://dx.doi.org/10.1103/PhysRevA.80.032116 |
Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics
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Título revista abreviado: | Phys Rev A
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ISSN: | 10502947
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CODEN: | PLRAA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v80_n3_p_Bendersky |
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Citas:
---------- APA ----------
Bendersky, A., Pastawski, F. & Paz, J.P.
(2009)
. Selective and efficient quantum process tomography. Physical Review A - Atomic, Molecular, and Optical Physics, 80(3).
http://dx.doi.org/10.1103/PhysRevA.80.032116---------- CHICAGO ----------
Bendersky, A., Pastawski, F., Paz, J.P.
"Selective and efficient quantum process tomography"
. Physical Review A - Atomic, Molecular, and Optical Physics 80, no. 3
(2009).
http://dx.doi.org/10.1103/PhysRevA.80.032116---------- MLA ----------
Bendersky, A., Pastawski, F., Paz, J.P.
"Selective and efficient quantum process tomography"
. Physical Review A - Atomic, Molecular, and Optical Physics, vol. 80, no. 3, 2009.
http://dx.doi.org/10.1103/PhysRevA.80.032116---------- VANCOUVER ----------
Bendersky, A., Pastawski, F., Paz, J.P. Selective and efficient quantum process tomography. Phys Rev A. 2009;80(3).
http://dx.doi.org/10.1103/PhysRevA.80.032116