Abstract
The micromotion of ion crystals confined in Paul traps is usually considered an inconvenient nuisance, and is thus typically minimized in high-precision experiments such as high-fidelity quantum gates for quantum information processing (QIP). In this work, we introduce a particular scheme where this behavior can be reversed, making micromotion beneficial for QIP. We show that using laser-driven micromotion sidebands, it is possible to engineer state-dependent dipole forces with a reduced effect of off-resonant couplings to the carrier transition. This allows one, in a certain parameter regime, to devise entangling gate schemes based on geometric phase gates with both a higher speed and a lower error, which is attractive in light of current efforts towards fault-tolerant QIP. We discuss the prospects of reaching the parameters required to observe this micromotion-enabled improvement in experiments with current and future trap designs.
Highlights
The possibility of harnessing the distinctive behavior of quantum-mechanical systems to process information in new ways has raised the interest of researchers for more than three decades
In contrast to [42], where pulsed gate schemes are used to make the performance of the gate equal to the ideal case where no micromotion is present, we explore in this work the possibility of actively exploiting the intrinsic micromotion in order improve the gate performance, both in speed and fidelity, beyond the values of the schemes where no micromotion is considered
The expressions obtained are used to describe the main differences of the schemes that generate state-dependent dipole forces using bi-chromatic laser beams, either tuned to the secular or to the micromotion sidebands. We describe how these forces can be used to implement entangling gates, and discuss the speed and fidelity limitations of various gate schemes, identifying a parameter regime where a gate improvement can be obtained by exploiting the intrinsic micromotion
Summary
We show that using laser-driven micromotion sidebands, it is possible to engineer state-dependent dipole forces with a reduced effect of off-resonant couplings to the carrier transition. This allows one, in a certain parameter regime, to devise entangling gate schemes based on geometric phase gates with both a higher speed and a lower error, which is attractive in light of current efforts towards fault-tolerant. We discuss the prospects of reaching the parameters required to observe this micromotionenabled improvement in experiments with current and future trap designs
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