  Wavefunction is a fundamental concept of quantum theory. Recent studies have
shown surprisingly that wavefunction can be directly reconstructed via the
measurement of weak value. The weak value based direct wavefunction
reconstruction not only gives the operational meaning of wavefunction, but also
provides the possibility of realizing holographic imaging with a totally new
quantum approach. Here, we review the basic background knowledge of weak value
based direct wavefunction reconstruction combined with recent experimental
demonstrations. The main purpose of this work focuses on the idea of
holographic imaging via direct wavefunction reconstruction. Since research on
this topic is still in its early stage, we hope that this work can attract
interest in the field of traditional holographic imaging. In addition, the
wavefunction holographic imaging may find important applications in quantum
information science.
