  Statistical physics is important in understanding the physics of interacting
many bodies. This has been historically developed by attempts to understand
colliding gases and quantifying quantities like entropy, free energy, and other
thermodynamic quantities. An important contribution in statistical physics was
by Boltzmann in the form of the H-theorem, which considered collisions between
particles and used the assumption of molecular chaos or Stosszahlansatz to
understand macroscopic irreversibility. To elucidate these ideas, Mark Kac
introduced a classical analog called Kac rings.
  In this work, we attempt to introduce quantum-ness in a Kac ring and study
its entropy and recurrence, comparing and contrasting to corresponding trends
in a classical Kac ring. We look at the trends of recurrence time for a system
with a qubit as a pointer. We further study the time distribution of entropy
for these systems.
