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In this remark, we give another approach to the local well-posedness ofquadratic Schr\"odinger equation with nonlinearity $u\bar u$ in $H^{-1/4}$,which was already proved by Kishimoto \cite{kis}. Our resolution space is$l^1$-analogue of $X^{s,b}$ space with low frequency part in a weaker space$L^{\infty}_{t}L^2_x$. Such type spaces was developed by Guo. \cite{G} to dealthe KdV endpoint $H^{-3/4}$ regularity.

Remark on Well-posedness of Quadratic Schr\"odinger equation with nonlinearity $u\bar u$ in $H^{-1/4}(\R)$