A note on the Pauli problem in light of approximate joint measurements

Details A note on the Pauli problem in light of approximate joint measurements A note on the Pauli problem in light of approximate joint measurements

2012-04-20

arxiv.org/abs/1204.4592v1

Physics

Quantum Physics

12 pages

Scientific paper

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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