Laser Physics pp 249-263 | Cite as

Quantum non demolition measurements

  • D. F. Walls
  • G. J. Milburn
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 182)


The effort to detect gravitational radiation has motivated renewed interest in the quantum limitations to measurements.We have shown that in principal quantum mechanics does not preclude the detection of gravitational radiation.

We have also given a complete analysis, including state reduction, of two possible schemes to make Q.N.D. measurements. These are based on a “squeezed state” detection scheme and a quantum counting detection scheme.

It has been demonstrated that despite initial misgivings the parametric amplifier is capable of making “squeezed state” Q.N.D. measurements. This conclusion is reached by taking fully into account the reduction of state which occurs in a measurement sequence.


Harmonic Oscillator Coherent State Density Operator Gravitational Radiation Free Evolution 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    V.B. Braginsky, ZH.Eksp.Theor.Fiz., 53, 1434, (1968), [Sov.Phys. JETP, 26, 831].Google Scholar
  2. 2.
    W.G. Unruh, Phys.Rev., D18, 1764, (1978).Google Scholar
  3. 3.
    W.G. Unruh, Phys.Rev., D19, 2888, (1979).Google Scholar
  4. 4.
    K.S. Thorne, R.W.P. Drever, C.M. Caves, M. Zimmerman and V.D. Sandberg, Phys.Rev.Lett., 40, 667, (1978).CrossRefGoogle Scholar
  5. 5.
    C.M. Caves, K.S. Thorne, R.W.P. Drever, V.D. Sandberg and M. Zimmerman, Rev.Mod.Phys., 52, 341, (1980).CrossRefGoogle Scholar
  6. 6.
    C.M. Caves, In “Quantum Optics, Experimental Gravitation and Measurement Theory”, Eds. P. Meystre and M.O. Scully, Plenum (in press), (1981).Google Scholar
  7. 7.
    D.F. Walls, Nature, (to be published).Google Scholar
  8. 8.
    W.H. Louisell, A. Yariv, A.E. Siegman Phys.Rev., 124, (1961).Google Scholar
  9. 9.
    M. Hillery and M.O. Scully, In “Quantum Optics, Experimental Gravitation and Measurement Theory”, Eds. P. Meystre and M.O. Scully, Plenum, (in press), (1981).Google Scholar
  10. 10.
    G.J. Milburn, A.S. Lane and D.F. Walls, Phys.Rev.A., (in press).Google Scholar
  11. 11.
    W.H. Louisell, “Quantum Statistical Properties of Radiation”, Wiley, (1973).Google Scholar
  12. 12.
    R.J. Glauber, Phys.Rev., 131, 2766, (1963).CrossRefGoogle Scholar
  13. 13.
    E.C.G. Sudarshan, Phys.Rev.Lett., 10, 277, (1963).CrossRefGoogle Scholar
  14. 14.
    P.D. Drummond and C.W. Gardiner, J.Phys., 13A, 2353, (1980).Google Scholar
  15. 15.
    E. Beltrametti and G. Casinelli, “The Logic of Quantum Mechanics”, Encyclopedia of Mathematics and its Applications, V15, Addison Wesley, (1981).Google Scholar
  16. 16.
    N. Bloembergen, In “Proceedings of the International School ‘Enrico Fermi'”, Course LXIV, Ed. N. Bloembergen, North Holland, (1977).Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • D. F. Walls
    • 1
  • G. J. Milburn
    • 1
  1. 1.Physics DepartmentUniversity of WaikatoHamiltonNew Zealand

Personalised recommendations