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Reconstruction of the spin state

Z. Hradil, J. Summhammer, G. Badurek, H. Rauch

quant-pharXiv:quant-ph/9911068

Abstract

System of 1/2 spin particles is observed repeatedly using Stern-Gerlach apparatuses with rotated orientations. Synthesis of such non-commuting observables is analyzed using maximum likelihood estimation as an example of quantum state reconstruction. Repeated incompatible observations represent a new generalized measurement. This idealized scheme will serve for analysis of future experiments in neutron and quantum optics.

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