Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Using concatenated quantum codes for universal fault-tolerant quantum
  gates   We propose a method for universal fault-tolerant quantum computation using
concatenated quantum error correcting codes. Namely, other than computational
basis state preparation as required by the DiVincenzo criteria [1], our scheme
requires no special ancillary state preparation to achieve universality, as
opposed to schemes such as magic state distillation. The concatenation scheme
exploits the transversal properties of two different codes, combining them to
provide a means to protect against low-weight arbitrary errors. We give the
required properties of the error correcting codes to ensure universal
fault-tolerance and discuss a particular example using the 7-qubit Steane and
15-qubit Reed-Muller codes. We believe that optimizing the codes used in such a
scheme could provide a useful alternative to state distillation schemes that
exhibit high overhead costs.

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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: math
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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: stat
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: eess