Improving ellipticity detection sensitivity for the Q & A vacuum birefringence experiment

Q & A (quantum electrodynamics test and search for axion) experiment was first proposed in 1994 and a 3.5 m high-finesse Fabry-Perot prototype detector extendable to 7 m has been built and tested. We now enter into the 2nd phase of improving the ellipticity detection sensitivity. We present our scheme, compare with other ongoing experiments, analyze the displacement spectra of our suspension system, and use them for designing automatic alignment control to improve the ellipticicy detection sensitivity. To improve ellipsometry resolution, we use new polarizers of extinction ratio smaller than 10^{-8}.