Primary references
Selected reviews and research articles for the mathematical and experimental foundations.
Degen, Reinhard & Cappellaro (2017) — Quantum sensing. Reviews of Modern Physics 89, 035002. DOI / publication
Giovannetti, Lloyd & Maccone (2004) — Quantum-enhanced measurements: beating the standard quantum limit. Science 306, 1330–1336. DOI / publication
Pezzè et al. (2018) — Quantum metrology with nonclassical states of atomic ensembles. Reviews of Modern Physics 90, 035005. DOI / publication
Taylor & Bowen (2016) — Quantum metrology and its application in biology. Physics Reports 615, 1–59. DOI / publication
Rondin et al. (2014) — Magnetometry with nitrogen-vacancy defects in diamond. Reports on Progress in Physics 77, 056503. DOI / publication
Clerk et al. (2010) — Introduction to quantum noise, measurement, and amplification. Reviews of Modern Physics 82, 1155. DOI / publication
These are recommended further readings, not a claim that each page reproduces or directly quotes a particular source.