Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Benchmarking of dynamically corrected gates for the exchange-only spin
  qubit in $1/f$ noise environment   We study theoretically the responses of the dynamically corrected gates to
time-dependent noises in the exchange-only spin qubit system. We consider $1/f$
noises having spectra proportional to $1/\omega^\alpha$, where the exponent
$\alpha$ indicates the strength of correlation within the noise. The quantum
gate errors due to noises are extracted from a numerical simulation of
Randomized Benchmarking, and are compared between the application of
uncorrected operations and that of dynamically corrected gates robust against
the hyperfine noise. We have found that for $\alpha\gtrsim1.5$, the dynamically
corrected gates offer considerable reduction in the gate error and such
reduction is approximately two orders of magnitude for the experimentally
relevant noise exponent. On the other hand, no improvement of the gate fidelity
is provided for $\alpha\lesssim1.5$. This critical value $\alpha_c\approx1.5$
is comparatively larger than that for the cases for the singlet-triplet qubits.
The filter transfer functions corresponding to the dynamically corrected gates
are also computed and compared to those derived from uncorrected pulses. Our
results suggest that the dynamically corrected gates are useful measures to
suppress the hyperfine noise when operating the exchange-only qubits.

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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph