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

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Journal of Russian Laser Research Aims and scope

Abstract

We study quantum information properties of a seven-level system realized by a particle in a onedimensional square-well trap and discuss the features of encodings of seven-level systems in a form of three-qubit or qubit–qutrit systems. We use the three-qubit encoding of the system in order to investigate the subadditivity and strong subadditivity conditions for the particle’s thermal state. We employ the qubit–qutrit encoding to suggest a single qudit algorithm for calculating the parity of a bit string. The results obtained indicate on the potential resource of multilevel systems for realization of quantum information processing.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, 105005, Russia

    Aleksey Popov & Evgeny Kiktenko

  2. Acronis Ltd, Moscow, 127566, Russia

    Aleksey Popov

  3. Theoretical Department, DEPHAN, Skolkovo, Moscow, 143025, Russia

    Evgeny Kiktenko & Aleksey Fedorov

  4. Russian Quantum Center, Novaya Street 100, Skolkovo, Moscow, 143025, Russia

    Aleksey Fedorov

  5. LPTMS, CNRS, Université Paris-Sud, Université Paris-Saclay, Orsay, 91405, France

    Aleksey Fedorov

  6. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia

    Vladimir I. Man’ko

  7. Moscow Institute of Physics and Technology (State University), Institutsky Per. 9, Dolgoprudny, 141700, Russia

    Vladimir I. Man’ko

Authors
  1. Aleksey Popov
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  2. Evgeny Kiktenko
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  3. Aleksey Fedorov
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  4. Vladimir I. Man’ko
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Correspondence to Aleksey Fedorov.

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Popov, A., Kiktenko, E., Fedorov, A. et al. Information Processing Using Three-Qubit and Qubit–Qutrit Encodings of Noncomposite Quantum Systems. J Russ Laser Res 37, 581–590 (2016). https://doi.org/10.1007/s10946-016-9610-8

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  • DOI: https://doi.org/10.1007/s10946-016-9610-8

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