Quark stars are a bit like neutron stars, they have very large masses and small radii. Can we detect gravitational waves emitted in a binary of two quark stars or the gravitational waves from a not perfectly round quark star which is rotating? If it is possible, could LIGO detect it or is it on another frequency? How could the detectors see the difference between quark stars and neutron stars?
Quark stars, if they exist, would emit gravitational waves in a similar manner as neutron stars. In fact, their gravitational wave signals would be almost identical to that of a pair of merging neutron stars. The different composition of the objects would only express itself in differences in the tidal deformability, which would lead to a small but potentially measurable difference in the gravitational waveform (especially close to merger).