Quantum process tomography and Linblad estimation of a solid-state qubit

M. Howard; J. Twamley; C. Wittmann; T. Gaebe; F. Jelezko; J. Wrachtrup

doi:10.1088/1367-2630/8/3/033

Quantum process tomography and Linblad estimation of a solid-state qubit

M. Howard, J. Twamley^*, C. Wittmann, T. Gaebe, F. Jelezko, J. Wrachtrup

^*Corresponding author for this work

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Abstract

We present an example of quantum process tomography (QPT) performed on a single solid-state qubit. The qubit used is two energy levels of the triplet state in the nitrogen vacancy defect in diamond. QPT is applied to a qubit which has been allowed to decohere for three different time periods. In each case, the process is found in terms of the χ matrix representation and the affine map representation. The discrepancy between experimentally estimated process and the closest physically valid process is noted. The results of QPT performed after three different decoherence times are used to find the error generators, or Lindblad operators, for the system, using the technique introduced by Boulant et al (2003 Phys. Rev. A 67 042322).

Original language	English
Article number	33
Pages (from-to)	1-21
Number of pages	21
Journal	New Journal of Physics
Volume	8
DOIs	https://doi.org/10.1088/1367-2630/8/3/033
Publication status	Published - 6 Mar 2006

Bibliographical note

Copyright 2006 IOP Publishing Ltd. Reprinted from New journal of physics. This material is posted here with the permission of IOP Publishing Ltd and the authors. Use of this material is permitted for personal, research and non-commercial uses. Further information regarding the copyright applicable to this article can be viewed at http://www.iop.org/EJ/journal/-page=extra.copyright/NJP.

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abstract = "We present an example of quantum process tomography (QPT) performed on a single solid-state qubit. The qubit used is two energy levels of the triplet state in the nitrogen vacancy defect in diamond. QPT is applied to a qubit which has been allowed to decohere for three different time periods. In each case, the process is found in terms of the χ matrix representation and the affine map representation. The discrepancy between experimentally estimated process and the closest physically valid process is noted. The results of QPT performed after three different decoherence times are used to find the error generators, or Lindblad operators, for the system, using the technique introduced by Boulant et al (2003 Phys. Rev. A 67 042322).",

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AU - Twamley, J.

AU - Wittmann, C.

AU - Gaebe, T.

AU - Jelezko, F.

AU - Wrachtrup, J.

N1 - Copyright 2006 IOP Publishing Ltd. Reprinted from New journal of physics. This material is posted here with the permission of IOP Publishing Ltd and the authors. Use of this material is permitted for personal, research and non-commercial uses. Further information regarding the copyright applicable to this article can be viewed at http://www.iop.org/EJ/journal/-page=extra.copyright/NJP.

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N2 - We present an example of quantum process tomography (QPT) performed on a single solid-state qubit. The qubit used is two energy levels of the triplet state in the nitrogen vacancy defect in diamond. QPT is applied to a qubit which has been allowed to decohere for three different time periods. In each case, the process is found in terms of the χ matrix representation and the affine map representation. The discrepancy between experimentally estimated process and the closest physically valid process is noted. The results of QPT performed after three different decoherence times are used to find the error generators, or Lindblad operators, for the system, using the technique introduced by Boulant et al (2003 Phys. Rev. A 67 042322).

AB - We present an example of quantum process tomography (QPT) performed on a single solid-state qubit. The qubit used is two energy levels of the triplet state in the nitrogen vacancy defect in diamond. QPT is applied to a qubit which has been allowed to decohere for three different time periods. In each case, the process is found in terms of the χ matrix representation and the affine map representation. The discrepancy between experimentally estimated process and the closest physically valid process is noted. The results of QPT performed after three different decoherence times are used to find the error generators, or Lindblad operators, for the system, using the technique introduced by Boulant et al (2003 Phys. Rev. A 67 042322).

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Quantum process tomography and Linblad estimation of a solid-state qubit

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