  We investigate magnetic properties of color superconducting quark matter
within a Ginzburg-Landau approach. The simultaneous coupling of the quark
fields to gluonic and electromagnetic gauge fields leads to rotated
electromagnetism with a massive (Higgsed) and a massless photon-gluon field. We
derive the Ginzburg-Landau equations for superconducting quark matter taking
into account the rotated electromagnetism in the general case when the rotation
angle is an arbitrary function of the coordinates. We solve these equations for
an isolated vortex in superconducting quark matter. We obtain a solution for
the magnetic and gluomagnetic fields and expressions for the calculation of the
penetration depth and the quantized magnetic flux in quark matter. For this
case we have demonstrated that the occurence of electric and color Meissner
currents is a consequence of the color superconducting state of quark matter.
