English

Advances in Quantum Metrology

Quantum Physics 2015-05-27 v1 Mesoscale and Nanoscale Physics Mathematical Physics math.MP

Abstract

In classical estimation theory, the central limit theorem implies that the statistical error in a measurement outcome can be reduced by an amount proportional to n^(-1/2) by repeating the measures n times and then averaging. Using quantum effects, such as entanglement, it is often possible to do better, decreasing the error by an amount proportional to 1/n. Quantum metrology is the study of those quantum techniques that allow one to gain advantages over purely classical approaches. In this review, we analyze some of the most promising recent developments in this research field. Specifically, we deal with the developments of the theory and point out some of the new experiments. Then we look at one of the main new trends of the field, the analysis of how the theory must take into account the presence of noise and experimental imperfections.

Keywords

Cite

@article{arxiv.1102.2318,
  title  = {Advances in Quantum Metrology},
  author = {Vittorio Giovannetti and Seth Lloyd and Lorenzo Maccone},
  journal= {arXiv preprint arXiv:1102.2318},
  year   = {2015}
}

Comments

10 pages, 3 figures. This is the very preliminary version of a review article on quantum metrology. More recent versions of the manuscript will be posted asap

R2 v1 2026-06-21T17:24:53.109Z