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Qubit-qubit interaction

In addition to initializing qubits and performing single qubit gate operations, a coherent two-qubit interaction scheme is needed as well. For rare-earth-doped systems it has been suggested to use the dipole blockade effect to achieve such gates, i.e., using the difference of the permanent static dipole moment between the ground and excited states in order to shift one qubit out of resonance with the laser based on another qubit’s excitation. This effect requires spatially close ions since the induced frequency shift, in the dipole approximation, scales as 1/r3, where r is the distance between the qubits.

Presently, experiments are performed in order to prepare two ensemble qubits in Pr3+:Y2SiO5 so that the qubits only contain ions that are spatially close enough for the dipole blockade effect to work. So far, proof-of-principle experiments have been performed, but no full two-qubit gate has been implemented yet. 

References

  • High fidelity readout scheme for rare-earth solid state quantum computing
    A Walther, L Rippe, Yan Ying, J Karlsson, D Serrano, S Bengtsson and S Kröll
    Phys Rev A 92,022319 (2015)
  • Impact of ion-ion energy transfer on quantum computing schemes in rare-earth doped solids
    D Serrano, Y Yan, J Karlsson, L Rippe, A Walther, S Kröll, A Ferrier & P Goldner
    J of Luminescence 151, 93-99 (2014)
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