  Compared with the conventional quantum state tomography (QST), the direct
state tomography (DST) using weak value is easily manipulated in experiments.
However, the efficiency of the DST is lower than that of the conventional QST,
especially for high-dimensional systems. For a pure state, the DST is revised
to improve the efficiency. In the revised DST, the real or imaginary parts of
the weak values can be obtained by measuring only one system observable. We
constructed a hybrid DST by combining the original DST and the revised DST. By
using the appropriate measurement strength, the efficiency of the hybrid DST is
significantly larger than that of the conventional QST, especially for
high-dimensional systems. The state reconstruction strategy investigated in
this paper may be useful in actual experiments.
