Selective and efficient quantum process tomography
Source: Phys. Rev. A 80, 032116 (2009); doi:10.1103/PhysRevA.80.032116
Published 24 September 2009
Download Citation
Research ToolkitEDITORIALLY RELATED
- Selective and Efficient Estimation of Parameters for Quantum Process Tomography
Ariel Bendersky, Fernando Pastawski, and Juan Pablo Paz
Phys. Rev. Lett. 100, 190403 (2008)
KEYWORDS and PACS
RELATED DATABASES
To view database links for this article,
you need to log in.
you need to log in.
To view database links for this article,
you need to log in.
you need to log in.
PUBLICATION DATA
APS
In this paper we describe in detail and generalize a method for quantum process tomography that was presented by Bendersky et al. [Phys. Rev. Lett. 100, 190403 (2008)]. The method enables the efficient estimation of any element of the 
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 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
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 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
| History: | Received 9 June 2009; published 24 September 2009 |
| Permalink: |
http://link.aps.org/abstract/PRA/v80/e032116 |
REFERENCES (24)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- A. Shabani and D. A. Lidar, Phys. Rev. Lett. 102, 100402 (2009).
- A. Bendersky, F. Pastawski, and J. P. Paz, Phys. Rev. Lett. 100, 190403 (2008).
- M. Mohseni and D. A. Lidar, Phys. Rev. Lett. 97, 170501 (2006).
- M. Mohseni and D. A. Lidar, Phys. Rev. A 75, 062331 (2007).
- M. Silva, E. Magesan, D. W. Kribs, and J. Emerson, Phys. Rev. A 78, 012347 (2008).
- J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, J. Math. Phys. 45, 2171 (2004).
- C. Dankert, R. Cleve, J. Emerson, and E. Livine, Phys. Rev. A 80, 012304 (2009).
- J. Lawrence, C. Brukner, and A. Zeilinger, Phys. Rev. A 65, 032320 (2002).
- J. P. Paz, A. J. Roncaglia, and M. Saraceno, Phys. Rev. A 72, 012309 (2005).
ADVERTISEMENT