Author Correction: Contextual quantum metrology

In the original article, the authors followed the standard criterion for estimation precision based on the observed Fisher information. However, the data structure of the contextual quantum metrology (coQM) framework is constructed from an operational quasiprobability model, which does not coincide with the sampling distribution of the measurements. This corresponds to a misspecified statistical model, for which the observed Fisher information does not characterize the achievable estimation precision. The authors subsequently determined that the Godambe information provides the appropriate criterion for a general class of measurement schemes in such misspecified settings. When the Godambe information is applied to the experimental scenario presented in the article, the estimation error of coQM is approximately two times larger than the quantum Fisher information (QFI)-based bound, rather than smaller as originally reported. Consequently, the contextual scheme does not surpass the QFI-based quantum Cramér–Rao bound. The conclusion drawn in the original article—that coQM outperforms conventional quantum metrology—applies only under the standard criterion; the appropriate criterion for the measurement scheme is the Godambe information, which accounts for the misspecified model structure. These amendments do not affect the experimental dataset, measurement procedure, or estimation workflow reported in the original article. The corrected interpretation highlights the practical advantage of coQM as a simple and resource-efficient scheme for achieving high precision without requiring optimization of a quantum measurement. The errors have now been corrected in both the PDF and HTML versions of the Article.