Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mutually unbiased bases for quantum states defined over p-adic numbers   We describe sets of mutually unbiased bases (MUBs) for quantum states defined
over the p-adic numbers Q_p, i.e. the states that can be described as elements
of the (rigged) Hilbert space L2(Q_p). We find that for every prime p>2 there
are at least p+1 MUBs, which is in contrast with the situation for quantum
states defined over the real line R for which only 3 MUBs are known.
  We comment on the possible reason for the difference regarding MUBs between
these two infinite dimensional Hilbert spaces.

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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat