Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Min- and Max- Relative Entropies and a New Entanglement Monotone   Two new relative entropy quantities, called the min- and max-relative
entropies, are introduced and their properties are investigated. The well-known
min- and max- entropies, introduced by Renner, are obtained from these. We
define a new entanglement monotone, which we refer to as the max-relative
entropy of entanglement, and which is an upper bound to the relative entropy of
entanglement. We also generalize the min- and max-relative entropies to obtain
smooth min- and max- relative entropies. These act as parent quantities for the
smooth Renyi entropies, and allow us to define the analogues of the mutual
information, in the Smooth Renyi Entropy framework. Further, the spectral
divergence rates of the Information Spectrum approach are shown to be obtained
from the smooth min- and max-relative entropies in the asymptotic limit.

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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: math
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The categories of this paper are: acc-phys