Correction to: Nature Photonics https://doi.org/10.1038/s41566-018-0266-5, published online 8 October 2018.

In the version of this Letter originally published, in equation (1), ‘n’ should not have been included, the equation should have read:

$$\Delta \varphi _{{\mathrm{Sagnac}}} = \frac{{8{\mathrm{\uppi}}}}{{\lambda c}}m{\bf{A}} \cdot \bf\Omega$$
(1)

Accordingly, in the sentence following equation (1), the definition “n is the refractive index of the medium” should not have been included either; it has now been deleted. In addition, the authors should have declared the following competing interest: “P.P.K. and A.H. have filed a patent application (Integrated optical gyroscope with noise cancellation, US patent application US 15/993,525; 13 December 2018).” These corrections have been made in the online versions.