A note on the Pauli problem in light of approximate joint measurements |
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Authors: | Jussi Schultz |
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Institution: | Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turku, Finland |
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Abstract: | We show that there exist informationally incomplete phase space observables such that the Cartesian margins are informationally equivalent with position and momentum. This shows that it is possible to reconstruct the position and momentum distributions of a quantum system from the statistics of a single observable, and thus a single measurement, even though the state of the system is not uniquely determined by the statistics. |
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Keywords: | Pauli problem Informational completeness Informational equivalence Phase space observable |
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