Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fault-Tolerant Quantum Computation with Higher-Dimensional Systems   Instead of a quantum computer where the fundamental units are 2-dimensional
qubits, we can consider a quantum computer made up of d-dimensional systems.
There is a straightforward generalization of the class of stabilizer codes to
d-dimensional systems, and I will discuss the theory of fault-tolerant
computation using such codes. I prove that universal fault-tolerant computation
is possible with any higher-dimensional stabilizer code for prime d.

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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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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: solv-int
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
2
The categories of this paper are: math