Quantum Optical Metrology of Correlated Phase and Loss

Patrick M Birchall, Euan J Allen, Thomas M Stace, Jeremy L O'Brien, Jonathan C F Matthews, Hugo Cable

Research output: Contribution to journalArticle (Academic Journal)peer-review

17 Citations (Scopus)
99 Downloads (Pure)


Optical absorption measurements characterize a wide variety of systems from atomic gases to in vivo diagnostics of living organisms. Here we study the potential of nonclassical techniques to reduce statistical noise below the shot-noise limit in absorption measurements with concomitant phase shifts imparted by a sample. We consider both cases where there is a known relationship between absorption and a phase shift, and where this relationship is unknown. For each case we derive the fundamental limit and provide a practical strategy to reduce statistical noise. Furthermore, we find an intuitive correspondence between measurements of absorption and of lossy phase shifts, which both show the same analytical form for precision enhancement for bright states. Our results demonstrate that nonclassical techniques can aid real-world tasks with present-day laboratory techniques.

Original languageEnglish
Pages (from-to)140501
Number of pages11
JournalPhysical Review Letters
Issue number140501
Publication statusPublished - 8 Apr 2020

Structured keywords

  • QETLabs
  • Bristol Quantum Information Institute
  • Quantum Engineering Centre for Doctoral Training


  • quant-ph
  • quantum
  • sensing
  • metrology


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