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Quantum Non-Demolition Measurements: Concepts, Theory and Practice


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1 Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India
 

This is a limited overview of quantum non-demolition (QND) measurements, with brief discussions of illustrative examples meant to clarify the essential features. In a QND measurement, the predictability of a subsequent value of a precisely measured observable is maintained and any random back-action from uncertainty introduced into a non-commuting observable is avoided. The fundamental ideas, relevant theory and the conditions and scope for applicability are discussed with some examples. Precision measurements have indeed gained from developing QND measurements and some implementations in quantum optics, gravitational wave detectors and spin-magnetometry are discussed.

Keywords

Back-Action Evasion, Gravitational Waves, Quantum Non-Demolition, Standard Quantum Limit, Squeezed Light.
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  • Braginsky, V. B., Vorontzov, Y. I. and Thorne, K. S., Quantum nondemolition measurements. Science, 1980, 209(4456), 547–557.
  • Caves, C. M., Quantum nondemolition measurements. In Quantum Optics, Experimental Gravitation and Measurement Theory (eds Meystre, P. and Scully, M. O.), NATO ASI Series B: Physics, Plenum Press, New York, 1989, vol. 94, pp. 567–626; Caves, C. M., Thorne, K. S., Drever, R. W. P., Sandberg, V. D. and Zimmermann, M., On the measurement of a weak classical force coupled to a quantum-mechanical oscillator. I. Issues of principle. Rev. Mod. Phys., 1980, 52(2), 341–392.
  • Braginsky, V. B. and Khalili, F. Ya., Quantum nondemolition measurements: the route from toys to tools. Rev. Mod. Phys., 1996, 68(1), 1–11.
  • Monroe, C., Demolishing quantum nondemolition. Physics Today, 2011, 64(1), 8.
  • Heidmann, A., Hadjar, Y. and Pinard, M., Quantum nondemolition measurement by optomechanical coupling. Appl. Phys. B, 1997, 64(2), 173–180.
  • Jacobs, K., Tombesi, P., Collet, M. J. and Walls, D. F., Quantumnondemolition measurement of photon number using radiation pressure. Phys. Rev. A, 1994, 49(3), 1961–1966.
  • Hertzberg, J. B., Rocheleau, T., Ndukum, T., Savva, M., Clerk, A. A. and Schwab, K. C., Back-action-evading measurements of nanomechanical motion. Nature Physics, 2010, 6(3), 213–217.
  • Grangier, P., Levenson, J. A. and Poizat, J.-P., Quantum nondemolition measurements in optics. Nature, 1998, 396(6711), 537–542.
  • Poizat, J. Ph. and Grangier, P., Experimental realization of a quantum optical tap. Phys. Rev. Lett., 1993, 70(3), 271–274.
  • Pereira, S. F., Ou, Z. Y. and Kimble, H. J., Backaction evading measurements for quantum nondemolition detection and quantum optical tapping. Phys. Rev. Lett., 1994, 72(2), 214–217.
  • Holland, M. J., Collett, M. J., Walls, D.F. and Levenson, M. D., Nonideal quantum nondemolition measurements. Phys. Rev. A, 1990, 42(5), 2995–3005.
  • Roch, J. F., Roger, G., Grangier, P., Courty, J.-M. and Reynaud, S., Quantum non-demolition measurements in optics: a review and some recent experimental results. Appl. Phys. B, 1992, 55(3), 291– 297.
  • Roch, J.-F., Vigneron, K., Grelu, Ph., Sinatra, A., Poizat, J.-Ph. and Grangier, Ph., Quantum nondemolition measurements using cold trapped atoms. Phys. Rev. Lett., 1997, 78(4), 634–637.
  • Takahashi, Y., Honda, K., Tanaka, N., Toyoda, K., Ishikawa, K. and Yabuzaki, T., Quantum nondemolition measurement of spin via the paramagnetic Faraday rotation. Phys. Rev. A, 1999, 60(6), 4974–4979.
  • Shah, V., Vasilakis, G., and Romalis, M. V., High bandwidth atomic magnetometry with continuous quantum nondemolition measurements. Phys. Rev. Lett., 2010, 104(1), 013601-1 to 013601-4.
  • Vasilakis, G., Shah, V. and Romalis, M. V., Stroboscopic backaction evasion in a dense alkali-metal vapor. Phys. Rev. Lett., 2011, 106(14), 143601-1 to 143601-4.
  • Crooker, S. A., Rickel, D. G., Balatsky, A. V. and Smith, D. L., Spectroscopy of spontaneous spin noise as a probe of spin dynamics and magnetic resonance. Nature, 2004, 431(7004), 49–52.
  • Nogues, G., Rauschenbeutel, A., Osnaghi, S., Brune, M., Raimond, J. M. and Haroche, S., Seeing a single photon without destroying it. Nature, 1999, 400(6741), 239–242.
  • Braginskii, V. B., Adolescent years of experimental physics. PhysicsUspekhi, 2003, 46(1), 81–87.
  • The LIGO Scientific Collaboration, A gravitational wave observatory operating beyond the quantum shot-noise limit. Nature Phys., 2011, 7(12), 962–965.
  • The LIGO Scientific Collaboration, Enhanced sensitivity of the LIGO gravitational wave detector by using squeezed states of light. Nature Photonics, 2013, 7(8), 613–619.
  • Vanner, M. R., Hofer, J., Cole, G. D. and Aspelmeyer, M., Coolingby-measurement and mechanical state tomography via pulsed optomechanics. Nature Commun., 2013, 4, 2295-1 to 2295-8.

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  • Quantum Non-Demolition Measurements: Concepts, Theory and Practice

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Authors

C. S. Unnikrishnan
Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India

Abstract


This is a limited overview of quantum non-demolition (QND) measurements, with brief discussions of illustrative examples meant to clarify the essential features. In a QND measurement, the predictability of a subsequent value of a precisely measured observable is maintained and any random back-action from uncertainty introduced into a non-commuting observable is avoided. The fundamental ideas, relevant theory and the conditions and scope for applicability are discussed with some examples. Precision measurements have indeed gained from developing QND measurements and some implementations in quantum optics, gravitational wave detectors and spin-magnetometry are discussed.

Keywords


Back-Action Evasion, Gravitational Waves, Quantum Non-Demolition, Standard Quantum Limit, Squeezed Light.

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DOI: https://doi.org/10.18520/cs%2Fv109%2Fi11%2F2052-2060