  We study the motion of dispersed nanoprobes in entangled active-passive
polymer mixtures. By comparing the two architectures of linear vs.
unconcatenated and unknotted circular polymers, we demonstrate that novel, rich
physics emerge. For both polymer architectures, nanoprobes of size smaller than
the entanglement threshold of the solution move faster as activity is increased
and more energy is pumped in the system. For larger nanoprobes, a surprising
phenomenon occurs: while in linear solutions they move qualitatively as before,
in active-passive ring solutions nanoprobes {\it decelerate} with respect to
the purely passive conditions. We rationalize this effect in terms of the
non-equilibrium, topology-dependent association (clustering) of nanoprobes to
the cold component of the ring mixture reminiscent of the recently discovered
[Weber et al., Phys. Rev. Lett. 116, 058301 (2016)] phase separation in scalar
active-passive mixtures. We conclude with a potential connection to the
microrheology of the chromatin in the nuclei of the cells.
