REMARKS ON THE QUANTUM DE FINETTI THEOREM FOR BOSONIC SYSTEMS

@article{Lewin2013REMARKSOT,
  title={REMARKS ON THE QUANTUM DE FINETTI THEOREM FOR BOSONIC SYSTEMS},
  author={Mathieu Lewin and Phan Thanh Nam and Nicolas Rougerie},
  journal={Applied Mathematics Research Express},
  year={2013},
  volume={2015},
  pages={48-63}
}
  • Mathieu Lewin, Phan Thanh Nam, Nicolas Rougerie
  • Published 2013
  • Mathematics, Physics
  • Applied Mathematics Research Express
  • The quantum de Finetti theorem asserts that the k-body density matrices of a N-body bosonic state approach a convex combination of Hartree states (pure tensor powers) when N is large and k fixed. In this note we review a construction due to Christandl, Mitchison, Konig and Renner valid for finite dimensional Hilbert spaces, which gives a quantitative version of the theorem. We first propose a variant of their proof that leads to a slightly improved estimate. Next we provide an alternative proof… CONTINUE READING

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