Abstract
An imprecise measurement of a dynamical variable (such as a spin component) does not, in general, give the value of another dynamical variable (such as a spin component along a slightly different direction). The result of the measurement cannot be interpreted as the value of any observable that has a classical analogue.
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References
N. D. Mermin, Physics Today 38(4), 38(1985).
S. J. Feingold and A. Peres, Physics Today 38(11), 15(1985).
D. M. Greenberger, ed., “New techniques and ideas in quantum measurement theory, ” Ann. New York Acad. Sci. 480(1986).
S. Kochen and E. Specker, J. Math. Mech. 17, 59(1967).
A. Peres, J. Phys. A 24, L175(1991).
A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1993).
M. Kernaghan, J. Phys. A 27, L829(1994).
A. Cabello, J. M. Estebaranz, and G. García Alcaine, Phys. Lett. A 212, 183(1996).
N. D. Mermin, Boojums All the Way Through: Communicating Science in a Prosaic Age (Cambridge University Press, Cambridge, 1990).
D. A. Meyer, Phys. Rev. Lett. 83, 3751(1999). A. Kent, ibid. 83, 3755 (1999). R. K. Clifton and A. Kent, Proc. Roy. Soc. Lond. A 456, 2101(2000).
H. Havlicek, G. Krenn, J. Summhammer, and K. Svozil, J. Phys. A 34, 3071(2001). C. Simon, Č. Brukner, and A. Zeilinger, Phys. Rev. Lett. 86, 4427 (2001). T. Breuer, ibid. 88, 24042 (2002). D. M. Appleby, Phys. Rev. A 65, 022105 (2002). A. Cabello, ibid. 65, 052101 (2002). J.-å. Larsson, Europhys. Lett. 58, 799 (2002). See also numerous articles in the quant-ph electronic archive.
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Peres, A. What's Wrong with These Observables?. Foundations of Physics 33, 1543–1547 (2003). https://doi.org/10.1023/A:1026000614638
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DOI: https://doi.org/10.1023/A:1026000614638