Connecting the von Neumann and Rényi entropies for fermions (Q2920342)

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scientific article; zbMATH DE number 6093996
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Connecting the von Neumann and Rényi entropies for fermions
scientific article; zbMATH DE number 6093996

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    Connecting the von Neumann and Rényi entropies for fermions (English)
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    16 October 2012
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    Neumann entropy
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    Rényi entropy
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    shift-invariant quasi-free fermionic state
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    The authors consider reconstruction of the average von Neumann entropy in terms of average Rényi entropies of integer order in the case of shift-invariant quasi-free fermionic states on a regular lattice. It is proved that the mean von Neumann entropy is reconstructible in terms of mean entropies of integer order. An explicit approximation scheme is presented and an estimate for the quality of such an approximation is given.
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