  We explore the possibility of using "weak measurements" without "weak value"
for quantum state estimation. Since for weak measurements the disturbance
caused during each measurement is small, we can rescue the state, unlike for
the case of projective measurements. We use this property of weak measurements
and design schemes for quantum state estimation for qubits and for Gaussian
states. We show, via numerical simulations, that under certain circumstances,
our method can outperform the estimation by projective measurements both for
qubits and for Gaussian states. It turns out that ensemble size plays an
important role and the scheme based on recycling works better for small
ensembles.
