English

Quorum of observables for universal quantum estimation

Quantum Physics 2009-11-06 v1

Abstract

Any method for estimating the ensemble average of arbitrary operator (observables or not, including the density matrix) relates the quantity of interest to a complete set of observables, i.e. a quorum}. This corresponds to an expansion on an irreducible set of operators in the Liouville space. We give two general characterizations of these sets. All the known unbiased reconstruction techniques, i.e. ``quantum tomographies'', can be described in this framework. New operatorial resolutions are given that can be used to implement novel reconstruction schemes.

Keywords

Cite

@article{arxiv.quant-ph/0006006,
  title  = {Quorum of observables for universal quantum estimation},
  author = {G. Mauro D'Ariano and Lorenzo Maccone and Matteo G. A. Paris},
  journal= {arXiv preprint arXiv:quant-ph/0006006},
  year   = {2009}
}

Comments

Latex, no figures