Uncertainty principle with quantum Fisher information

Details Uncertainty principle with quantum Fisher information Uncertainty principle with quantum Fisher information

2007-07-08

arxiv.org/abs/0707.1147v2

Journal of Mathematical Physics, 49, 012106, 2008.

Physics

Mathematical Physics

8 pages, LaTeX; added references

Scientific paper

10.1063/1.2830429

In this paper we prove a nontrivial lower bound for the determinant of the
covariance matrix of quantum mechanical observables, which was conjectured by
Gibilisco, Isola and Imparato. The lower bound is given in terms of the
commutator of the state and the observables and their scalar product, which is
generated by an arbitrary symmetric operator monotone function.

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