  High quality squeezed light is an important resource for a variety of
applications. Multiple methods for generating squeezed light are known, having
been demonstrated theoretically and experimentally. However, the effectiveness
of these methods -- in particular, the inherent limitations to the signals that
can be produced -- has received little consideration. Here we present a
comparative theoretical analysis for generating a highly-displaced
high-brightness squeezed light from a linear optical method -- a beam-splitter
mixing a squeezed vacuum and a strong coherent state -- and parametric
amplification methods including an optical parametric oscillator, an optical
parametric amplifier, and a dissipative optomechanical squeezer seeded with
coherent states. We show that the quality of highly-displaced high-brightness
squeeze states that can be generated using these methods is limited on a
fundamental level by the physical mechanism utilized; across all methods there
are significant tradeoffs between brightness, squeezing, and overall
uncertainty. We explore the nature and extent of these tradeoffs specific to
each mechanism and identify the optimal operation modes for each, and provide
an argument for why this type of tradeoff is unavoidable for parametric
amplifier type squeezers.
