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Robust Quantum Gates for a Singlet-Triplet Spin Qubit

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2012

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We show that universal quantum control of a two-electron singlet-triplet spin qubit can be achieved using Landau-Zener-St"uckelberg interferometry. Going beyond normal Landau-Zener dynamics with infinitely long constant velocity sweeps across an energy level anti-crossing, we focus on a physical system consisting of a two-electron double quantum dot, where the spin states can be admixtures of charge states and the level velocity can be tuned in a time-dependent fashion. Our results indicate that charge coherence must be treated on an equal footing with spin coherence. In particular, we predict the presence of finite-time effects, which result in population transfer even in cases of an incomplete sweep through the anti-crossing. The competing requirements of adiabaticity and coherence are reconciled using specially designed pulses with a tunable level velocity. As a relevant example, we demonstrate that a Hadamard gate can be implemented for a realistic set of conditions in a GaAs double quantum dot device.

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ISO 690RIBEIRO, Hugo, Jason R. PETTA, Guido BURKARD, 2012. Robust Quantum Gates for a Singlet-Triplet Spin Qubit
BibTex
@unpublished{Ribeiro2012Robus-21780,
  year={2012},
  title={Robust Quantum Gates for a Singlet-Triplet Spin Qubit},
  author={Ribeiro, Hugo and Petta, Jason R. and Burkard, Guido}
}
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    <dcterms:abstract xml:lang="eng">We show that universal quantum control of a two-electron singlet-triplet spin qubit can be achieved using Landau-Zener-St\"uckelberg interferometry. Going beyond normal Landau-Zener dynamics with infinitely long constant velocity sweeps across an energy level anti-crossing, we focus on a physical system consisting of a two-electron double quantum dot, where the spin states can be admixtures of charge states and the level velocity can be tuned in a time-dependent fashion. Our results indicate that charge coherence must be treated on an equal footing with spin coherence. In particular, we predict the presence of finite-time effects, which result in population transfer even in cases of an incomplete sweep through the anti-crossing. The competing requirements of adiabaticity and coherence are reconciled using specially designed pulses with a tunable level velocity. As a relevant example, we demonstrate that a Hadamard gate can be implemented for a realistic set of conditions in a GaAs double quantum dot device.</dcterms:abstract>
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