The statistical error in any estimation can be reduced by repeating the measurement and averaging the results. The central limit theorem implies that the reduction is proportional to the square root of the number of repetitions. Quantum metrology is the use of quantum techniques such as entanglement to yield higher statistical precision than purely classical approaches. In this Review, we analyse some of the most promising recent developments of this research field and point out some of the new experiments. We then look at one of the major new trends of the field: analyses of the effects of noise and experimental imperfections.

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 n −1 . 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.

Advances in Quantum Metrology

GIOVANNETTI, VITTORIO;
2011

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 n −1 . 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.
2011
Physics
quantum theory
File in questo prodotto:
File Dimensione Formato  
nphoton.2011.35.pdf

Accesso chiuso

Tipologia: Published version
Licenza: Non pubblico
Dimensione 2.45 MB
Formato Adobe PDF
2.45 MB Adobe PDF   Richiedi una copia
Advances-in-quantum-metrology.pdf

Accesso chiuso

Descrizione: full text
Tipologia: Submitted version (pre-print)
Licenza: Non pubblico
Dimensione 285.35 kB
Formato Adobe PDF
285.35 kB Adobe PDF   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/213
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2624
  • ???jsp.display-item.citation.isi??? 2510
social impact