Minimax estimation of the Wigner function in quantum homodyne tomography with ideal detectors

@inproceedings{Guta2006MinimaxEO,
  title={Minimax estimation of the Wigner function in quantum homodyne tomography with ideal detectors},
  author={Madalin Guta and Ligia Artiles},
  year={2006}
}
We estimate the quantum state of a light beam from results of quantum homodyne measurements performed on identically prepared pulses. The state is represented through the Wigner function, a “quasiprobability density” on R which may take negative values and must respect intrinsic positivity constraints imposed by quantum physics. The data consists of n i.i.d. observations from a probability density equal to the Radon transform of the Wigner function. We construct an estimator for the Wigner… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 25 REFERENCES

Efficient estimation of a density in a problem of tomography

  • L. Cavalier
  • Ann. Statist.,
  • 2000
Highly Influential
10 Excerpts

On quantum statistical inference (with discussion)

  • O E.Barndorff-Nielsen, R D.Gill, P E.Jupp
  • J. Royal Stat. Soc. B ,
  • 2003
2 Excerpts

On the problem of local adaptive estimation in tomography

  • L. Cavalier
  • Bernoulli ,
  • 2001
1 Excerpt

Similar Papers

Loading similar papers…