Information Processing Using Three-Qubit and Qubit–Qutrit Encodings of Noncomposite Quantum Systems

Authors :: Aleksey Popov
Vladimir I. Man’ko
Aleksey Fedorov
Evgeniy O. Kiktenko
Bauman Moscow State Technical University
Russian Quantum Center
Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS)
Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11)
Moscow Institute of Physics and Technology [Moscow] (MIPT)
P. N. Lebedev Physical Institute of the Russian Academy of Sciences [Moscow] (LPI RAS)
Russian Academy of Sciences [Moscow] (RAS)
Source :: Journal of Russian Laser Research, Journal of Russian Laser Research, Springer Verlag, 2016, 37, pp.581
Publication Year :: 2016
Publisher :: Springer Science and Business Media LLC, 2016.
Abstract: We study quantum information properties of a seven-level system realized by a particle in an one-dimensional square-well trap. Features of encodings of seven-level systems in a form of three-qubit or qubit-qutrit systems are discussed. We use the three-qubit encoding of the system in order to investigate subadditivity and strong subadditivity conditions for the thermal state of the particle. The qubit-qutrit encoding is employed to suggest a single qudit algorithm for calculation of parity of a bit string. Obtained results indicate on the potential resource of multilevel systems for realization of quantum information processing.<br />Comment: 6 pages, 3 figures; published version

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