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- W2056570433 abstract "Motivated by thermodynamic considerations, we analyze the variation of the quantum mutual information on a unitary orbit of a bipartite system's state with and without global constraints such as energy conservation. We solve the full optimization problem for the smallest system of two qubits and explore thoroughly the effect of unitary operations on the space of reduced-state spectra. We then provide applications of these ideas to physical processes within closed quantum systems such as a generalized collision model approach to thermal equilibrium and a global Maxwell demon playing tricks on local observers. For higher dimensions, the maximization of correlations is relatively straightforward for equal-sized subsystems, however their minimization displays nontrivial structures. We characterize a set of separable states in which the minimally correlated state resides: a collection of classically correlated states admitting a particular ``Young tableau'' form. Furthermore, a partial order exists on this set with respect to individual marginal entropies, and the presence of a ``see-saw effect'' for these entropies forces a finer analysis to determine the optimal tableau." @default.
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- W2056570433 date "2012-05-23" @default.
- W2056570433 modified "2023-09-25" @default.
- W2056570433 title "Quantum mutual information along unitary orbits" @default.
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- W2056570433 doi "https://doi.org/10.1103/physreva.85.052121" @default.
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