There has been much recent interest in quantum technology for applications to high resolution imaging and interference measurement.Due to noise and photon loss in the transmission between the telescopes,the current optical interferometers have quite limited baselines to a few hundred meters at most,which limit the resolutions.Here we propose to use noiseless linear amplifier(NLA)to eliminate optical loss in the transmission.We also show that NLA can be further improved with local quadrature displacement operator.We envisage that our analysis on this displacement operator assisted NLA method could help to develop higher resolution interferometers,which would have many applications in stellar observation.