Abstract
The determination of the past and the future of a physical system are complementary aims of measurements. An optimal determination of the past of a system can be achieved by an informationally complete set of physical quantities. Such a set is always strongly noncommutative. An optimal determination of the future of a physical system can be obtained by a Boolean complete set of quantities. The two aims can be reconciled to a reasonable degree with using unsharp measurements.
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This work was partly supported by the Bundesministerium für Forschung und Technologie, Bonn, the Research Institute for Theoretical Physics, Helsinki, and the University of Turku Foundation, Turku.
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Busch, P., Lahti, P.J. The determination of the past and the future of a physical system in quantum mechanics. Found Phys 19, 633–678 (1989). https://doi.org/10.1007/BF00731904
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DOI: https://doi.org/10.1007/BF00731904