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Quantum Optics Networks, Unitary Operators And Computer Algebra

Author

Listed:
  • WILLI-HANS STEEB

    (International School for Scientific Computing, University of Johannesburg, Auckland Park 2006, South Africa)

  • YORICK HARDY

    (International School for Scientific Computing, University of Johannesburg, Auckland Park 2006, South Africa)

Abstract

In linear quantum optics we consider phase shifters, beam splitters, displacement operations, squeezing operations etc. The evolution can be described by unitary operators using Bose creation and annihilation operators. This evolution can be reduced to matrix multiplication using unitary matrices. We derive these evolutions for the different unitary operators. Finally a computer algebra implementation is provided.

Suggested Citation

  • Willi-Hans Steeb & Yorick Hardy, 2008. "Quantum Optics Networks, Unitary Operators And Computer Algebra," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(07), pages 1069-1078.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:07:n:s0129183108012674
    DOI: 10.1142/S0129183108012674
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