Artículo
Perito, I.; Roncaglia, A.J.; Bendersky, A. "Selective and efficient quantum process tomography in arbitrary finite dimension" (2018) Physical Review A. 98(6)
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Abstract:
The characterization of quantum processes is a key tool in quantum information processing tasks for several reasons: on one hand, it allows one to acknowledge errors in the implementations of quantum algorithms; on the other, it allows one to characterize unknown processes occurring in nature. Bendersky, Pastawski, and Paz [A. Bendersky, F. Pastawski, and J. P. Paz, Phys. Rev. Lett. 100, 190403 (2008)PRLTAO0031-900710.1103/PhysRevLett.100.190403; Phys. Rev. A 80, 032116 (2009)PLRAAN1050-294710.1103/PhysRevA.80.032116] introduced a method to selectively and efficiently measure any given coefficient from the matrix description of a quantum channel. However, this method heavily relies on the construction of maximal sets of mutually unbiased bases (MUBs), which are known to exist only when the dimension of the Hilbert space is the power of a prime number. In this article, we lift the requirement on the dimension by presenting two variations of the method that work on arbitrary finite dimensions: one uses tensor products of maximal sets of MUBs, and the other uses a dimensional cutoff of a higher prime power dimension. © 2018 American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Selective and efficient quantum process tomography in arbitrary finite dimension |
| Autor: | Perito, I.; Roncaglia, A.J.; Bendersky, A. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, IFIBA, CONICET, Ciudad Universitaria, Buenos Aires, 1428, Argentina Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, ICC, CONICET, Ciudad Universitaria, Buenos Aires, 1428, Argentina |
| Palabras clave: | Quantum optics; Set theory; Finite dimensions; Mutually unbiased basis; Quantum algorithms; Quantum channel; Quantum process; Quantum process tomography; Quantum-information processing; Tensor products; Quantum efficiency |
| Año: | 2018 |
| Volumen: | 98 |
| Número: | 6 |
| DOI: | http://dx.doi.org/10.1103/PhysRevA.98.062303 |
| Título revista: | Physical Review A |
| Título revista abreviado: | Phys. Rev. A |
| ISSN: | 24699926 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v98_n6_p_Perito |
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Citas:
---------- APA ----------
Perito, I., Roncaglia, A.J. & Bendersky, A. (2018) . Selective and efficient quantum process tomography in arbitrary finite dimension. Physical Review A, 98(6).http://dx.doi.org/10.1103/PhysRevA.98.062303
---------- CHICAGO ----------
Perito, I., Roncaglia, A.J., Bendersky, A. "Selective and efficient quantum process tomography in arbitrary finite dimension" . Physical Review A 98, no. 6 (2018).http://dx.doi.org/10.1103/PhysRevA.98.062303
---------- MLA ----------
Perito, I., Roncaglia, A.J., Bendersky, A. "Selective and efficient quantum process tomography in arbitrary finite dimension" . Physical Review A, vol. 98, no. 6, 2018.http://dx.doi.org/10.1103/PhysRevA.98.062303
---------- VANCOUVER ----------
Perito, I., Roncaglia, A.J., Bendersky, A. Selective and efficient quantum process tomography in arbitrary finite dimension. Phys. Rev. A. 2018;98(6).http://dx.doi.org/10.1103/PhysRevA.98.062303
