Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal upper bound of entropic uncertainty relation for mutually
  unbiased bases   We have obtained the optimal upper bound of entropic uncertainty relation for
$N$ Mutually Unbiased Bases (MUBs). We have used the methods of variational
calculus for the states that can be written in terms of $N$ MUBs. Our result is
valid for any state when $N$ is $d+1$, where $d$ is the dimension of the
related system. We provide a quantitative criterion for the extendibilty of
MUBs. In addition, we have applied our result to the mutual information of
$d+1$ observables conditioned with a classical memory.

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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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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: stat
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th