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Some realizable joint measurements of complementary observables

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Abstract

Noncommuting quantum observables, if considered asunsharp observables, are simultaneously measurable. This fact is exemplified for complementary observables in two-dimensional state spaces. Two proposals of experimentally feasible joint measurements are presented for pairs of photon or neutron polarization observables and for path and interference observables in a photon split-beam experiment. A recent experiment proposed and performed by Mittelstaedt, Prieur, and Schieder in Cologne is interpreted as a partial version of the latter example.

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Dedicated to Professor Ulrich Hauser on the occasion of his 60th birthday, November 1986.

Work partly supported by the DFG, Bonn, and the BMFT, Bonn.

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Busch, P. Some realizable joint measurements of complementary observables. Found Phys 17, 905–937 (1987). https://doi.org/10.1007/BF00734320

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Keywords

  • State Space
  • Recent Experiment
  • Partial Version
  • Joint Measurement
  • Polarization Observable