Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal noise-canceling shortcuts to adiabaticity: application to noisy
  Majorana-based gates   Adiabatic braiding of Majorana zero modes can be used for topologically
protected quantum information processing. While extremely robust to many
environmental perturbations, these systems are vulnerable to noise with
high-frequency components. Ironically, slower processes needed for adiabaticity
allow more noise-induced excitations to accumulate, resulting in an
antiadiabatic behavior that limits the precision of Majorana gates if some
noise is present. In a recent publication [Phys. Rev. B 96, 075158 (2017)],
fast optimal protocols were proposed as a shortcut for implementing the same
unitary operation as the adiabatic braiding. These shortcuts sacrifice
topological protection in the absence of noise but provide performance gains
and remarkable robustness to noise due to the shorter evolution time.
Nevertheless, gates optimized for vanishing noise are suboptimal in the
presence of noise. If we know the noise strength beforehand, can we design
protocols optimized for the existing unavoidable noise, which will effectively
correct the noise-induced errors? We address this question in the present
paper. We find such optimal protocols using simulated-annealing Monte Carlo
simulations. The numerically found pulse shapes, which we fully characterize,
are in agreement with Pontryagin's minimum principle, which allows us to
arbitrarily improve the approximate numerical results (due to discretization
and imperfect convergence) and obtain numerically exact optimal protocols. The
protocols are \textit{bang-bang} (sequence of sudden quenches) for vanishing
noise, but contain continuous segments in the presence of multiplicative noise
due to the nonlinearity of the master equation governing the evolution. We find
that such noise-optimized protocols completely eliminate the above-mentioned
antiadiabatic behavior.

37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th