Full tomography from compatible measurements

Details Full tomography from compatible measurements Full tomography from compatible measurements

2009-12-07

arxiv.org/abs/0912.1234v1

Phys. Rev. Lett. 103, 250402 (2009)

Physics

Quantum Physics

4 pages, 5 eps-color figures. To be published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.103.250402

We put forward a reconstruction scheme prompted by the relation between a von Neumann measurement and the corresponding informationally complete measurement induced in a relevant reconstruction subspace. This method is specially suited for the full tomography of complex quantum systems, where the intricacies of the detection part of the experiment can be greatly reduced provided some prior information is available. In broader terms this shows the importance of \sugg{this often-disregarded} prior information in quantum theory. The proposed technique is illustrated with an experimental tomography of photonic vortices of moderate dimension.

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