Quantum Harmonic Oscillator Sonification

  • Anna Saranti
  • Gerhard Eckel
  • David Pirrò
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5954)


This work deals with the sonification of a quantum mechanical system and the processes that occur as a result of its quantum mechanical nature and interactions with other systems. The quantum harmonic oscillator is not only regarded as a system with sonifiable characteristics but also as a storage medium for quantum information. By representing sound information quantum mechanically and storing it in the system, every process that unfolds on this level is inherited and reflected by the sound. The main profit of this approach is that the sonification can be used as a first insight for two models: a quantum mechanical system model and a quantum computation model.


Audio Signal Computational Basis Quantum Mechanical System Quantum Harmonic Oscillator Computational Basis State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Ehlotzky, F.: Quantenmechanik und ihre Anwendungen. Springer, Heidelberg (2005)Google Scholar
  2. 2.
    Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, New York (2000)zbMATHGoogle Scholar
  3. 3.
    Schwabl, F.: Quantenmechanik QM I Eine Einführung, Revised Edition. Springer-Verlag, Heidelberg (2005)Google Scholar
  4. 4.
    Nakahara, M., Ohmi, T.: Quantum Computing, From Linear Algebra to Physical Realizations. CRC Press, Taylor and Francis Group, Boca Raton (2008)zbMATHCrossRefGoogle Scholar
  5. 5.
    Deutsch, D., Ekert, A., Lupacchini, R.: Machines, Logic and Quantum Physics. Bull. Symbolic Logic 6(3), 265–283 (2000)zbMATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    Goodwin, M.M.: Adaptive Signal Models - Theory, Algorithms and Audio Applications. Kluwer Academic Publishers, Dordrecht (1998)Google Scholar
  7. 7.
    Refregier, A.: Shapelets: I. A Method for Image Analysis. Mon. Not. Roy. Astron. Soc 338(1), 35–47 (2003)CrossRefGoogle Scholar
  8. 8.
    Coffey, M.W.: Properties and possibilities of quantum shapelets. J. Phys. A: Math. Gen. 39(4), 877–887 (2006)zbMATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    Zölzer, U.: Digital Audio Effects. John Wiley & Sons, Chichester (Reprinted 2005)Google Scholar
  10. 10.
    Ömer, B.: Quantum Programming in QCL, Master Thesis, Institute of Information Systems, Technical University of Vienna, (2007), accessed October 23, 2009)
  11. 11.
    QLib Matlab Package, (last accessed October 23, 2009)
  12. 12.
    GNU Multiple Precision Arithmetic Library, (last accessed October 23, 2009)
  13. 13.
    CLAPACK (f2c’ed version of LAPACK), (last accessed October 23, 2009)
  14. 14.
    CBLAS Library, (last accessed October 23, 2009)

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Anna Saranti
    • 1
  • Gerhard Eckel
    • 1
  • David Pirrò
    • 1
  1. 1.Institute of Electronic Music and AcousticsUniversity of Music and Dramatic Arts GrazGrazAustria

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