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Fundamental gates for a strongly correlated two-electron quantum ring
Department of physics and technology, University of Bergen, Norway. (Atomic Physics)
Stockholm University, Faculty of Science, Department of Physics. (Atomic Physics)
Department of physics and technology, University of Bergen, Norway. (atomic physics)
Stockholm University, Faculty of Science, Department of Physics. (Atomic Physics)
2010 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 81, no 3, 033303- p.Article in journal (Refereed) Published
Abstract [en]

We demonstrate that conditional as well as unconditional basic operations which are necessary for universal quantum gates can be performed with almost 100% fidelity within a strongly interacting two-electron quantum ring. Both sets of operations are based on a quantum control algorithm that optimizes a driving electromagnetic pulse for a given quantum gate. The demonstrated transitions occur on a time scale much shorter than typical decoherence times of the system.

Place, publisher, year, edition, pages
American Physical Society , 2010. Vol. 81, no 3, 033303- p.
Keyword [en]
Quantum logical gates, quantum computing, electronic structure, electromagnetic pulses, quantum ring, low-dimensional, two-dimensional
National Category
Condensed Matter Physics Other Physics Topics
Research subject
Physics
Identifiers
URN: urn:nbn:se:su:diva-38860DOI: 10.1103/PhysRevB.81.033303ISI: 000274002300011OAI: oai:DiVA.org:su-38860DiVA: diva2:317057
Available from: 2010-05-02 Created: 2010-05-02 Last updated: 2017-12-12Bibliographically approved
In thesis
1. On the role of the electron-electron interaction in two-dimensional quantum dots and rings
Open this publication in new window or tab >>On the role of the electron-electron interaction in two-dimensional quantum dots and rings
2010 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Many-Body Perturbation Theory is put to test as a method for reliable calculations of the electron-electron interaction in two-dimensional quantum dots. We show that second order correlation gives qualitative agreement with experiments on a level which was not found within the Hartree-Fock description. For weaker confinements, the second order correction is shown to be insufficient and higher order contributions must be taken into account. We demonstrate that all order Many-Body Perturbation Theory in the form of the Coupled Cluster Singles and Doubles method yields very reliable results for confinements close to those estimated from experimental data. The possibility to use very large basis sets is shown to be a major advantage compared to Full Configuration Interaction approaches, especially for more than five confined electrons.

Also, the possibility to utilize two-electron correlation in combination with tailor made potentials to achieve useful properties is explored. In the case of a two-dimensional quantum dot molecule we vary the interdot distance, and in the case of a two-dimensional quantum ring we vary the ring radius, in order to alter the spectra. In the latter case we demonstrate that correlation in combination with electromagnetic pulses can be used for the realization of quantum logical gates.

Place, publisher, year, edition, pages
Stockholm: Department of Physics, Stockholm University, 2010. 99 p.
Keyword
quantum dot, quantum ring, quantum dot molecule, electronic structure, two-dimensional, many-body physics, many-body perturbation theory, coupled cluster, coupled cluster singles and doubles, quantum logical gates, quantum computing, quantum control, quantum control algorithm
National Category
Condensed Matter Physics
Research subject
Physics
Identifiers
urn:nbn:se:su:diva-38862 (URN)978-91-7447-086-4 (ISBN)
Public defence
2010-06-02, FB52, AlbaNova universitetscentrum, Roslagstullsbacken 21, Stockholm, 13:00 (English)
Opponent
Supervisors
Note
At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 5: Manuscript.Available from: 2010-05-11 Created: 2010-05-02 Last updated: 2010-05-03Bibliographically approved

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