Robust population transfer of spin states by geometric formalism
- URL: http://arxiv.org/abs/2205.02701v1
- Date: Thu, 5 May 2022 15:14:22 GMT
- Title: Robust population transfer of spin states by geometric formalism
- Authors: Kangze Li, Guofu Xu
- Abstract summary: We propose a fast and robust scheme for population transfer which combines invariant-based inverse engineering and geometric formalism for robust quantum control.
Our scheme is not constrained by the adiabatic condition and therefore can be implemented fast.
It can also effectively suppress the dominant noise in spin systems, which together with the fast feature guarantees the accuracy of the population transfer.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Accurate population transfer of uncoupled or weakly coupled spin states is
crucial for many quantum information processing tasks. In this paper, we
propose a fast and robust scheme for population transfer which combines
invariant-based inverse engineering and geometric formalism for robust quantum
control. Our scheme is not constrained by the adiabatic condition and therefore
can be implemented fast. It can also effectively suppress the dominant noise in
spin systems, which together with the fast feature guarantees the accuracy of
the population transfer. Moreover, the control parameters of the driving
Hamiltonian in our scheme are easy to design because they correspond to the
curvature and torsion of a three-dimensional visual space curve derived by
using geometric formalism for robust quantum control. We test the efficiency of
our scheme by numerically simulating the ground-state population transfer in
$^{15}$N nitrogen vacancy centers and comparing our scheme with stimulated
Raman transition, stimulated Raman adiabatic passage and conventional shortcuts
to adiabaticity based schemes, three types of popularly used schemes for
population transfer. The numerical results clearly show that our scheme is
advantageous over these previous ones.
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