Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin measurements

Nature Physics

Volumn 8, Issue 3, 2012, Pages 185-189

  Erhart, Jacqueline ^a   Sponar, Stephan ^a   Sulyok, Georg ^a   Badurek, Gerald ^a   Ozawa, Masanao ^b   Hasegawa, Yuji ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84857788334     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys2194     Document Type: Article

References (30)

1. Wheeler, J. A. & Zurek, W. H. (eds) in Quantum Theory and Measurement (Princeton Univ. Press, 1983).
2. Heisenberg, W. Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik. Z. Phys. 43, 172-198 (1927).
3. Kennard, E. H. Zur Quantenmechanik einfacher Bewegungstypen. Z. Phys. 44, 326-352 (1927).
4. Robertson, H. P. The uncertainty principle. Phys. Rev. 34, 163-164 (1929).
5. Schrödinger, E. Zum Heisenbergschen Unschärfeprinzip. Sitz. Preuss. Akad. Wiss. 14, 296-303 (1930).
6. Ballentine, L. E. The statistical interpretation of quantum mechanics. Rev. Mod. Phys. 42, 358-381 (1970).
7. Arthurs, E. & Kelly, J. L. Jr On the simultaneous measurement of a pair of conjugate observables. Bell Syst. Tech. J. 44, 725-729 (1965).
8. Arthurs, E.&Goodman, M. S. Quantum correlations: A generalized Heisenberg uncertainty relation. Phys. Rev. Lett. 60, 2447-2449 (1988).
9. Ishikawa, S. Uncertainty relations in simultaneous measurements for arbitrary observables. Rep. Math. Phys. 29, 257-273 (1991).
10. Ozawa, M. in Quantum Aspects of Optical Communications. (eds Bendjaballah, C., Hirota, O. & Reynaud, S.) (Lecture Notes in Physics, Vol. 378, 3-17, Springer, 1991).
11. Ozawa, M. Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurements. Phys. Rev. A 67, 042105 (2003).
12. Ozawa, M. Physical content of the Heisenberg uncertainty relation: Limitation and reformulation. Phys. Lett. A 318, 21-29 (2003).
13. Ozawa, M. Uncertainty relations for noise and disturbance in generalized quantum measurements. Ann. Phys. 311, 350-416 (2004). (Pubitemid 38670614)
14. Ozawa, M. Universal uncertainty principle in measurement operator formalism. J. Opt. B 7, S672-S681 (2005). (Pubitemid 41816487)
15. Shull, C. G. Single slit diffraction of neutrons. Phys. Rev. 179, 752-754 (1969).
16. Yuen, H. P. Two-photon coherent states of the radiation field. Phys. Rev. A 13, 2226-2243 (1976).
17. Breitenbach, G., Schiller, S. & Mlynek, J. Measurement of the quantum states of squeezed light. Nature 387, 471-475 (1997). (Pubitemid 27235458)
18. Appleby, D. M. The error principle. Int. J. Theor. Phys. 37, 2557-2572 (1998).
19. Werner, R. F. The uncertainty relation for joint measurement of position and momentum. Quant. Inf. Comput. 4, 546-562 (2004). (Pubitemid 40344537)
20. Busch, P., Heinonen, T. & Lahti, P. Heisenberg's uncertainty principle. Phys. Rep. 452, 155-176 (2007).
21. Klepp, J. et al. Observation of nonadditive mixed-state phases with polarized neutrons. Phys. Rev. Lett. 101, 150404 (2008).
22. Koshino, K. & Shimizu, A. Quantum Zeno effect by general measurements. Phys. Rep. 412, 191-275 (2005). (Pubitemid 40714193)
23. Mir, R. et al. A double-slit which-way' experiment on the Complementarity-uncertainty debate. New J. Phys. 9, 287 (2007).
24. Lund, A. P. & Wiseman, H. M. Measuring measurement-disturbance relationships with weak values. New J. Phys. 12, 093011 (2010).
25. Williams, G. Polarized Neutrons (Oxford Univ. Press, 1988).
26. Yuen, H. P. Contractive states and the standard quantum limit for monitoring free-mass positions. Phys. Rev. Lett. 51, 719-722 (1983).
27. Ozawa, M. Measurement breaking the standard quantum limit for free-mass position. Phys. Rev. Lett. 60, 385-388 (1988).
28. Maddox, J. Beating the quantum limits. Nature 331, 559 (1988).
29. Nielsen, M. A. & Chuang, I. Quantum Computation and Quantum Information (Cambridge Univ. Press, 2000).
30. Kraus, K. States, Effects, and Operations: Fundamental Notions of Quantum Theory (Lecture Notes in Physics, Vol. 190, Springer, 1983).