Effects of ground state hyperfine shifts in quantum computing with optically hole burnt materials

Abstract

We present an investigation of the effects of constant but random shifts of the ground hyperfine qubit states in the setting of quantum computing with ion doped crystals. Complex hyperbolic secant pulses can be used to transfer ions reliably to electronically excited states, and a perturbative approach is used to analyse the effect of ground state hyperfine shifts. This analysis shows that the errors due to the hyperfine shift are dynamically supressed during gate operation, a fact we attribute to the AC Stark shift. Furthermore we present an implementation of a controlled phase gate which is resilient to the effects of the hyperfine shift. Decoherence and decay effects are included in simulations in order to show that a demonstration of quantum gates is feasible over the relevant range of system parameters.

7 pages, 10 figures

References in corpus (5)

• Dynamic decoherence control of a solid-state nuclear quadrupole qubit
• Advanced holeburning techniques for determination of hyperfine transition properties in inhomogeneously broadened solids applied to Pr3+:Y2SiO5
• Scalable designs for quantum computing with rare-earth-ion-doped crystals
• Demonstration of conditional quantum phase shift between ions in a solid
• Robust quantum gates and a bus architecture for quantum computing with rare-earth-ion doped crystals

Cited by in corpus (3)

• Experimental quantum state tomography of a solid state qubit
• Quantum state reconstruction with imperfect rotations on an inhomogeneously broadened ensemble of qubits
• Designing gate operations for single ion quantum computing in rare-earth-ion-doped crystals