Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Selective and Efficient Quantum Process Tomography in Arbitrary Finite
  Dimension   The characterization of quantum processes is a key tool in quantum
information processing tasks for several reasons: on one hand, it allows to
acknowledge errors in the implementations of quantum algorithms; on the other,
it allows to charcaterize unknown processes occurring in Nature. In previous
works [Bendersky, Pastawski and Paz. Phys. Rev. Lett. 100, 190403 (2008) and
Phys. Rev. A 80, 032116 (2009)] it was introduced a method to selectively and
efficiently measure any given coefficient from the matrix description of a
quantum channel. However, this method heavily relies on the construction of
maximal sets of mutually unbiased bases (MUBs), which are known to exist only
when the dimension of the Hilbert space is the power of a prime number. In this
article, we lift the requirement on the dimension by presenting two variations
of the method that work on arbitrary finite dimensions: one uses tensor
products of maximally sets of MUBs, and the other uses a dimensional cutoff of
a higher prime power dimension.

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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph