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...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2009 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/61089 |
| Acceso en línea: | http://hdl.handle.net/11336/61089 |
| Access Level: | acceso abierto |
| Palabra clave: | Quantum Process Tomography Quantum Information Processing Quantum Algorithms https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 https://purl.org/becyt/ford/1.2 |
| Sumario: | 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. |
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