Quantum Computation under Micromotion in a Planar Ion Crystal

Abstract

We propose a scheme to realize scalable quantum computation in a planar ion crystal confined by a Paul trap. We show that the inevitable in-plane micromotion affects the gate design via three separate effects: renormalization of the equilibrium positions, coupling to the transverse motional modes, and amplitude modulation in the addressing beam. We demonstrate that all of these effects can be taken into account and high-fidelity gates are possible in the presence of micromotion. This proposal opens the prospect to realize large-scale fault-tolerant quantum computation within a single Paul trap.

10 pages, 5 figures, including Supplemental Material

References in corpus (11)

• Quantum Computing
• Quantum computing with trapped ions
• Fault-tolerant quantum computation with high threshold in two dimensions
• Topological fault-tolerance in cluster state quantum computation
• Trapped ion quantum computation with transverse phonon modes
• Large Scale Quantum Computation in an Anharmonic Linear Ion Trap
• Local Fault-tolerant Quantum Computation
• Modes of Oscillation in Radiofrequency Paul Traps
• Precise Experimental Investigation of Eigenmodes in a Planar Ion Crystal
• Threshold Error Penalty for Fault Tolerant Computation with Nearest Neighbour Communication
• High Fidelity Quantum Gates for Trapped Ions under Micromotion