Abstract
We investigate the reduced density matrices obtained for the quantum states in the context of 3d Chern-Simons theory with gauge group SU(2) and Chern-Simons level k. We focus on the quantum states associated with the T_p,p torus link complements, which is a p-party pure quantum state. The reduced density matrices are obtained by taking the (1|p-1) bi-partition of the total system. We show that the characteristic polynomials of these reduced density matrices are monic polynomials with rational coefficients.