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Conference on Lasers and Electro-Optics

Minimizing measurement resources for quantum tomography

Langford, Gilchrist, White, James James

Published Jan 1, 2004• 0 citations
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Quantum Process Tomography via L1-norm Minimization

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For an initially well designed but imperfect quantum information system, the process matrix is almost sparse in an appropriate basis. Existing theory and associated computational methods (L1-norm minimization) for reconstructing sparse signals establish conditions under which the sparse signal can be perfectly reconstructed from a very limited number of measurements (resources). Although a direct extension to quantum process tomography of the L1-norm minimization theory has not yet emerged, the numerical examples presented here, which apply L1-norm minimization to quantum process tomography, show a significant reduction in resources to achieve a desired estimation accuracy over existing methods.