Super-robust nonadiabatic geometric quantum control
- URL: http://arxiv.org/abs/2008.02176v3
- Date: Thu, 16 Sep 2021 15:15:11 GMT
- Title: Super-robust nonadiabatic geometric quantum control
- Authors: Bao-Jie Liu, Yuan-Sheng Wang, Man-Hong Yung
- Abstract summary: Nonadiabatic geometric quantum computation (NGQC) and nonadiabatic holonomic quantum computation (NHQC) have been proposed to reduce the run time of geometric quantum gates.
We show that NGQC and NHQC scenarios have no advantage over standard dynamical gates in most cases.
We propose a scheme of super-robust nonadiabatic geometric quantum control, in which the super-robust condition can guarantee both high speed and robustness.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Nonadiabatic geometric quantum computation (NGQC) and nonadiabatic holonomic
quantum computation (NHQC) have been proposed to reduce the run time of
geometric quantum gates. However, in terms of robustness against experimental
control errors, the existing NGQC and NHQC scenarios have no advantage over
standard dynamical gates in most cases. Here, we give the reasons why
nonadiabatic geometric gates are sensitive to the control errors and, further,
we propose a scheme of super-robust nonadiabatic geometric quantum control, in
which the super-robust condition can guarantee both high speed and robustness
of the geometric gate. To illustrate the working mechanism of super-robust
geometric quantum gates, we give two simple examples of SR-NGQC and SR-NHQC for
two- and three-level quantum systems, respectively. Theoretical and numerical
results with the experimental parameters indicate that our scheme can
significantly improve the gate performance compared to the previous NGQC, NHQC,
and standard dynamical schemes. Super-robust geometric quantum computation can
be applied to various physical platforms such as superconducting qubits,
quantum dots, and trapped ions. All of these sufficiently show that our scheme
provides a promising way towards robust geometric quantum computation.
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