Munero et al. developed one parameter family of mixed states \(\varvec{\rho ^{l}}\) , which are more entangled than bipartite Werner states. The similar family of mixed states \(\varvec{\rho ^{n}}\) are developed by Ł. Derkacz et al. with different approach. Further the authors extended \(\varvec{\rho ^{n}}\) to two parameter family of quantum states \(\varvec{\rho ^{m}}\) and characterized these states in terms of Bell inequality violation against their mixedness. In the present article, we investigate the comparative dynamics of all mixed states \(\varvec{(\rho ^{l},\rho ^{n},\rho ^{m})}\) under the bipartite Ising Hamiltonian exposed by the external magnetic field and investigate the dynamics of quantum correlations against the mixedness quantified by linear entropy.
