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Coherent states and the reconstruction of pure spin states

By S. Weigert and Jean-Pierre Amiet

Abstract

Coherent states provide an appealing method to reconstruct efficiently the pure state of a quantum mechanical spin s. A Stern-Gerlach apparatus is used to measure (4s + 1) expectations of projection operators on appropriate coherent states in the unknown state. These measurements are compatible with a finite number of states which can be distinguished, in the generic case, by measuring one more probability. In addition, the present technique shows that the zeros of a Husimi distribution do have an operational meaning: they can be identified directly by measurements with a Stem-Gerlach apparatus. This result comes down to saying that it is possible to resolve experimentally structures in quantum phase space which are smaller than (h) over bar

Year: 1999
DOI identifier: 10.1088/1464-4266
OAI identifier: oai:eprints.whiterose.ac.uk:1375

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