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Spin-orbit coupling and time-reversal symmetry in quantum gates

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2003

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Stepanenko, Dimitrije
Bonesteel, Nicholas E.
DiVincenzo, David P.
Loss, Daniel

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http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-91275
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https://doi.org/10.1103/PhysRevB.68.115306
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http://arxiv.org/abs/cond-mat/0303474

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Physical Review. 2003, 68(115306), 115306. Available under: doi: 10.1103/PhysRevB.68.115306

Zusammenfassung

We study the effect of spin-orbit coupling on quantum gates produced by pulsing the exchange interaction between two single electron quantum dots. Spin-orbit coupling enters as a small spin precession when electrons tunnel between dots. For adiabatic pulses the resulting gate is described by a unitary operator acting on the four-dimensional Hilbert space of two qubits. If the precession axis is fixed, time-symmetric pulsing constrains the set of possible gates to those which, when combined with single qubit rotations, can be used in a simple CNOT construction. Deviations from time-symmetric pulsing spoil this construction. The effect of time asymmetry is studied by numerically integrating the Schr¨odinger equation using parameters appropriate for GaAs quantum dots. Deviations of the implemented gate from the desired form are shown to be proportional to dimensionless measures of both spin-orbit coupling and time asymmetry of the pulse.

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ISO 690STEPANENKO, Dimitrije, Nicholas E. BONESTEEL, David P. DIVINCENZO, Guido BURKARD, Daniel LOSS, 2003. Spin-orbit coupling and time-reversal symmetry in quantum gates. In: Physical Review. 2003, 68(115306), 115306. Available under: doi: 10.1103/PhysRevB.68.115306
BibTex
@article{Stepanenko2003Spino-9049,
  year={2003},
  doi={10.1103/PhysRevB.68.115306},
  title={Spin-orbit coupling and time-reversal symmetry in quantum gates},
  number={115306},
  volume={68},
  journal={Physical Review},
  author={Stepanenko, Dimitrije and Bonesteel, Nicholas E. and DiVincenzo, David P. and Burkard, Guido and Loss, Daniel},
  note={Article Number: 115306}
}
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