I will discuss the density matrix renormalization group from a quantum information point of view; in particular, I will relate the fundamental approximation in the DMRG to the quantum entanglement and also describe how to extract physical information from measures of the quantum entanglement. A particulary interesting and difficult class of problems to treat are electronic models with a nonlocal interaction, such as that used in ab initio quantum chemical calculations. I wil describe the optimization of the DMRG for such nonlocal Hamiltonians using quantum entanglement, and will describe a new tensor-network-based algorithm that has the potential to treat such systems much more efficiently. |
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