We present design principles for ultrashort-pulse, type-0 phase-matched optical parametric amplifiers to generate and measure spectrally pure degenerate squeezed light. We achieve a Schmidt number of $K \approx 1.02$ with squeezing levels greater than 15 dB spanning over $>5$ THz bandwidth with cm-scale devices on thin-film lithium niobate (TFLN) on insulator platform. Our work opens up promising avenues for large-scale circuits for ultrafast quantum information processing and quantum sensing applications on rapidly advancing TFLN platform with already demonstrated linear components and photodetection capabilities.
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