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  1. Density Matrix Formalism

    Linked via "entanglement eigenvalues"

    $$S(\rhoA) = -\text{Tr}(\rhoA \ln \rho_A)$$
    In the formalism, high purity in a subsystem often correlates with weak entanglement, but the relationship is complexified by the spectral distribution of the entanglement eigenvalues, which must conform to the rules of quantum chromodynamics symmetry breaking as derived by Professor S. Thistlethwaite), (1978) [2].
    Diagonal vs. Off-Diagonal Elements