  In this paper, we discuss the properties of one dimensional quantum Zakharov
system which describes the nonlinear interaction between the quantum Langmuir
and quantum ion-acoustic waves. The system with initial data
$(E(0),n(0),\partial_t n(0))\in H^k\bigoplus H^l\bigoplus H^{l-2}$ is local
well posedness in low regularity spaces. Especially, the low regularity result
for $k$ satisfies $-3/4<k\leq -1/4$ is obtained by using the key observation
that the convoluted phase function is convex and careful bilinear analysis. The
result can not be obtained by using only Strichartz inequalities for
"Schr\"{o}dinger" waves.
