  In classical optics, there is a well-known resolution limit, called
Rayleigh's curse, in the separation of two incoherent optical sources in close
proximity. Recently, Tsang et al. revealed that this difficulty may be
circumvented in the framework of quantum theory. Following their work, various
estimation methods have been proposed to overcome Rayleigh's curse, but none of
them enables us to estimate the positions of two point sources simultaneously
based on single-photon measurements with high accuracy. In this study, we
propose a method to simultaneously estimate the positions of two point sources
with the highest accuracy using adaptive quantum state estimation scheme.
