Addressing superresolution imaging with entanglement-assited long-baseline telescopy*

Long baseline interferometry is one of the most widespread methods of astronomical imaging which consists of emulating a giant telescope through an array of single telescopes, being the baseline its size. Reaching longer baselines is an open problem which in recent years has seen various proposals of employing techniques from quantum information theory, particularly quantum sensing. One of those methods tries to estimate the visibility of a star using pre-shared entanglement to encode the phase of light arriving at a telescope array. In this work we adapt such method, in combination with a mode sorting technique, to the problem of resolving two monochromatic astronomical objects of equal brightness, thus overcoming the so called "Rayleigh's curse" of diffraction-limited systems. We show that, working with two apertures, we can estimate the angular separation of the sources better than in the single aperture case, and by employing mode sorters we can attain the quantum limit, compared to direct detection.