  Quantum correlation, such as entanglement and squeezing have shown to improve
phase estimation in interferometric setups on one side, and non-interferometric
imaging scheme of amplitude object on the other. In the last case, quantum
correlation among a pair of beams leads to a sub-shot-noise readout of the
image intensity pattern, where weak details, otherwise hidden in the noise, can
be appreciated. In this paper we propose a technique which exploits
entanglement to enhance quantitative phase retrieval of an object in a
non-interferometric setting, i.e only measuring the propagated intensity
pattern after interaction with the object. The method exploits existing
technology, it operates in wide field mode, so does not require time consuming
raster scanning and can operate with small spatial coherence of the incident
field. This protocol can find application in optical microscopy and X-ray
imaging, reducing the photon dose necessary to achieve a fixed signal-to-noise
ratio.
