Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Error suppression and error correction in adiabatic quantum computation
  I: techniques and challenges   Adiabatic quantum computation (AQC) is known to possess some intrinsic
robustness, though it is likely that some form of error correction will be
necessary for large scale computations. Error handling routines developed for
circuit-model quantum computation do not transfer easily to the AQC model since
these routines typically require high-quality quantum gates, a resource not
generally allowed in AQC. There are two main techniques known to suppress
errors during an AQC implementation: energy gap protection and dynamical
decoupling. Here we show that both these methods are intimately related and can
be analyzed within the same formalism. We analyze the effectiveness of such
error suppression techniques and identify critical constraints on the
performance of error suppression in AQC, suggesting that error suppression by
itself is insufficient for large-scale, fault-tolerant AQC and that a form of
error correction is needed. We discuss progress towards implementing error
correction in AQC and enumerate several key outstanding problems.
  This work is a companion paper to "Error suppression and error correction in
adiabatic quantum computation II: non-equilibrium dynamics"', which provides a
dynamical model perspective on the techniques and limitations of error
suppression and error correction in AQC. In this paper we discuss the same
results within a quantum information framework, permitting an intuitive
discussion of error suppression and correction in encoded AQC.

28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol