In the version of the article initially published, in the first equation in Box 3, Aeff–1 was missing the −1 superscript. Additionally, several references were missing. In the third paragraph of the Introduction, the sentence “…low-loss propagation” now includes a citation to Liu, K. et al. Ultralow 0.034 dB/m loss wafer-scale integrated photonics realizing 720 million Q and 380 μW threshold Brillouin lasing. Opt. Lett. 47, 1855–1858 (2022). Both the first paragraph of the “Nonlinear integrated photonics for frequency conversion” section, in the sentence ending with “…there is a dearth of laser sources”, and the final paragraph of the “Quantum frequency conversion” section, in the sentence “… infrared spectroscopy with visible light”, now include a citation to Hwang, A. Y. et al. Mid-infrared spectroscopy with a broadly tunable thin-film lithium niobate optical parametric oscillator. Optica 10, 1535–1542. (2023). In the fourth paragraph of the “Expanding to shorter wavelengths” section, the sentence ending with “…Γ123 still limits their efficiency” now includes a citation to Park, T. et al. High-efficiency second harmonic generation of blue light on thin-film lithium niobate. Opt. Lett. 47, 2706–2709 (2022). In the first paragraph of the “Expanding to longer wavelengths” section, the sentence starting with “OPO, SHG and SFG were also used…” now cites McKenna, T. P. et al. Ultra-low-power second-order nonlinear optics on a chip. Nat. Commun. 13, 4532 (2022). In the first paragraph of the “Continuous variable — squeezed light sources” section, the sentence “…detection below the standard quantum limit” now includes a citation to Stokowski, H. S. et al. Integrated quantum optical phase sensor in thin film lithium niobate. Nat. Commun. 14, 3355 (2023). These corrections have been made to the HTML and PDF versions of the article.