Quantum Hardware I: Ion Trap Qubits

  • Bernard Zygelman


The DiVincenzo criteria, a list of necessities for the construction of a quantum computer is summarized herein. In reviewing the physics underpinning the trapped ion qubit paradigm, I introduce a rotor model for atoms/ions and demonstrate how single qubit gates, such as the phase and Hadamard gates, are realized in this framework. We use the latter to illustrate how ions respond to laser radiation, the mechanism by which ion qubits are addressed. We show how the Cirac-Zoller mechanism, and its generalization, enables the realization of two-qubit control gates. I provide a survey of trapped ion qubit systems, including optical and hyperfine qubit systems.


  1. 1.
    Amir Fruchtman and Iris Chois, Technical Roadmap For Tolerant Quantum Computing, NQIT Report,
  2. 2.
    F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. Roos, J. Eschner, R. Blatt, Nature, 422, 408EP (2003)Google Scholar
  3. 3.
    J. I. Cirac and P. Zoller, Physical Review Letters 74, 4091 (1995)CrossRefGoogle Scholar
  4. 4.
    David P. DiVincenzo, arXiv:quanr-ph/0002077Google Scholar
  5. 5.
    Richard P. Feynman, Robert B Leighton, Matthew Sands, Feynman Lectures in Physics, Vol. II Addison-Wesley, 1965Google Scholar
  6. 6.
    Kurt Gottfried, Tung-Mow Yan, Quantum Mechanics:Fundamentals, (Springer 2003)Google Scholar
  7. 7.
    Thomas F. Jordan, Linear Operators for Quantum Mechanics, (Dover Publications Inc., Mineola New York 1997)Google Scholar
  8. 8.
    Michael E. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Information, Cambridge U. Press, 2011zbMATHGoogle Scholar
  9. 9.
    D. Leibfried, R. Blatt, C. Monroe and D. Wineland, Review of Modern Physics 75, 281 (2003).CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Bernard Zygelman
    • 1
  1. 1.Department of Physics and AstronomyUniversity of NevadaLas VegasUSA

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