Reconstructing a pure state of a spin s through three Stern-Gerlach measurements: II

S. Weigert; Jean-Pierre Amiet

doi:10.1088/0305-4470/32/25/101

Reconstructing a pure state of a spin s through three Stern-Gerlach measurements: II

S. Weigert, Jean-Pierre Amiet

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The density matrix of a spin s is fixed uniquely if the probabilities to obtain the value s upon measuring n.S are known for 4s(s+1) appropriately chosen directions n in space. These numbers are just the expectation values of the density operator in coherent spin states, and they can be determined in an experiment carried out with a Stern-Gerlach apparatus. Furthermore, the experimental data can be inverted providing thus a parametrization of the statistical operator by 4s(s+1) positive parameters.

Original language	English
Pages (from-to)	L269-L274
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	25
DOIs	https://doi.org/10.1088/0305-4470/32/25/101
Publication status	Published - 25 Jun 1999

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abstract = "The density matrix of a spin s is fixed uniquely if the probabilities to obtain the value s upon measuring n.S are known for 4s(s+1) appropriately chosen directions n in space. These numbers are just the expectation values of the density operator in coherent spin states, and they can be determined in an experiment carried out with a Stern-Gerlach apparatus. Furthermore, the experimental data can be inverted providing thus a parametrization of the statistical operator by 4s(s+1) positive parameters.",

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AU - Amiet, Jean-Pierre

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N2 - The density matrix of a spin s is fixed uniquely if the probabilities to obtain the value s upon measuring n.S are known for 4s(s+1) appropriately chosen directions n in space. These numbers are just the expectation values of the density operator in coherent spin states, and they can be determined in an experiment carried out with a Stern-Gerlach apparatus. Furthermore, the experimental data can be inverted providing thus a parametrization of the statistical operator by 4s(s+1) positive parameters.

AB - The density matrix of a spin s is fixed uniquely if the probabilities to obtain the value s upon measuring n.S are known for 4s(s+1) appropriately chosen directions n in space. These numbers are just the expectation values of the density operator in coherent spin states, and they can be determined in an experiment carried out with a Stern-Gerlach apparatus. Furthermore, the experimental data can be inverted providing thus a parametrization of the statistical operator by 4s(s+1) positive parameters.

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DO - 10.1088/0305-4470/32/25/101

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SP - L269-L274

JO - Journal of Physics A: Mathematical and General

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