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Cancellation of spin-orbit effects in quantum gates based on the exchange coupling in quantum dots

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0108101v2.pdf
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2002

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Burkard, Guido
Loss, Daniel

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Physical Review Letters. 2002, 88, 47903. Available under: doi: 10.1103/PhysRevLett.88.047903

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We study the effect of the spin-orbit interaction on quantum gate operations based on the spin exchange coupling where the qubit is represented by the electron spin in a quantum dot or a similar nanostructure. Our main result is the exact cancellation of the spin-orbit effects in the sequence producing the quantum XOR gate for the ideal case where the pulse shapes of the exchange and spin-orbit interactions are identical. For the non-ideal case, the two pulse shapes can be made almost identical and the gate error is strongly suppressed by two small parameters, the spin-orbit constant and the deviation of the two pulse shapes. We show that the dipole-dipole interaction leads only to very small errors in the XOR gate.

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ISO 690BURKARD, Guido, Daniel LOSS, 2002. Cancellation of spin-orbit effects in quantum gates based on the exchange coupling in quantum dots. In: Physical Review Letters. 2002, 88, 47903. Available under: doi: 10.1103/PhysRevLett.88.047903
BibTex
@article{Burkard2002Cance-9189,
  year={2002},
  doi={10.1103/PhysRevLett.88.047903},
  title={Cancellation of spin-orbit effects in quantum gates based on the exchange coupling in quantum dots},
  volume={88},
  journal={Physical Review Letters},
  author={Burkard, Guido and Loss, Daniel},
  note={Article Number: 47903}
}
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    <dcterms:abstract xml:lang="eng">We study the effect of the spin-orbit interaction on quantum gate operations based on the spin exchange coupling where the qubit is represented by the electron spin in a quantum dot or a similar nanostructure. Our main result is the exact cancellation of the spin-orbit effects in the sequence producing the quantum XOR gate for the ideal case where the pulse shapes of the exchange and spin-orbit interactions are identical. For the non-ideal case, the two pulse shapes can be made almost identical and the gate error is strongly suppressed by two small parameters, the spin-orbit constant and the deviation of the two pulse shapes. We show that the dipole-dipole interaction leads only to very small errors in the XOR gate.</dcterms:abstract>
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