Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral distribution of random matrices from Mutually Unbiased Bases   We consider the random matrix obtained by picking vectors randomly from a
large collection of mutually unbiased bases of $\mathbb{C}^n$, and prove that
the spectral distribution converges to the Marchenko-Pastur law. This shows
that vectors in mutually unbiased bases behave like random vectors. This
phenomenon is similar to that of binary linear codes of dual distance at least
5, which was studied in previous work.

26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an