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Phys. Rev. A 67, 062304 (2003) [6 pages]

Efficient quantum-state tomography for quantum-information processing using a two-dimensional Fourier-transform technique

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Ranabir Das1, T. S. Mahesh1, and Anil Kumar1,2,*
1Department of Physics, Indian Institute of Science, Bangalore 560012, India
2Sophisticated Instruments Facility, Indian Institute of Science, Bangalore 560012, India

Received 2 January 2003; published 20 June 2003

A method of quantum-state tomography for quantum-information processing is described. The method is based on the use of the Fourier-transform technique and involves detection of all the diagonal elements of the density matrix in a one-dimensional experiment and all the off-diagonal elements by a two-dimensional experiment. The method is efficient for a large number of qubits (>~5). The proposed method is outlined using a two-qubit system and demonstrated using simulations by tomographing arbitrary complex density matrices of two- and four-qubit systems.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.062304
DOI:
10.1103/PhysRevA.67.062304
PACS:
03.67.Lx, 03.65.Wj

*Author to whom correspondence should be addressed. Email address: anilnmr@physics.iisc.ernet.in