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 (23)

• Quantum Computing
• Quantum computing with trapped ions
• Fault-tolerant quantum computation with high threshold in two dimensions
• Deterministic entanglement of two trapped ions
• Topological fault-tolerance in cluster state quantum computation
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• Fault-Tolerant Quantum Computation with Local Gates
• Local Fault-tolerant Quantum Computation
• Arbitrary-speed quantum gates within large ion crystals through minimum control of laser beams
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• Fault tolerant architectures for superconducting qubits
• Observation of Three-dimensional Long-range Order in Smaller Ion Coulomb Crystals in an rf Trap
• 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
• Entanglement Generation Using Discrete Solitons in Coulomb Crystals
• High Fidelity Quantum Gates for Trapped Ions under Micromotion
• Implementation of local and high-fidelity quantum conditional phase gates in a scalable two-dimensional ion trap

Cited by in corpus (21)

• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• A Site-Resolved 2D Quantum Simulator with Hundreds of Trapped Ions
• Two-qubit entangling gates within arbitrarily long chains of trapped ions
• Noise Analysis for High-Fidelity Quantum Entangling Gates in an Anharmonic Linear Paul Trap
• Scalable and Parallel Tweezer Gates for Quantum Computing with Long Ion Strings
• 2D ion crystals in radiofrequency traps for quantum simulation
• Hexagonal Plaquette Spin-spin Interactions and Quantum Magnetism in a Two-dimensional Ion Crystal
• Radial two-dimensional ion crystals in a linear Paul trap
• Engineering spin-spin interactions with optical tweezers in trapped ions
• Micromotion-enabled improvement of quantum logic gates with trapped ions
• High Fidelity Entangling Gates in a 3D Ion Crystal under Micromotion
• Two-tone Doppler cooling of radial two-dimensional crystals in a radiofrequency ion trap
• Individually Addressed Entangling Gates in a Two-Dimensional Ion Crystal
• A Paul Trap with Sectored Ring Electrodes for Experiments with Two-Dimensional Ion Crystals
• Far-from-equilibrium noise heating and laser cooling dynamics in radio-frequency Paul traps
• A two-dimensional architecture for fast large-scale trapped-ion quantum computing
• The Effect of Micromotion and Local Stress in Quantum simulation with Trapped Ions in Optical Tweezers
• Tuning nonthermal distributions to thermal ones in time-dependent Paul traps
• Micromotion-Synchronized Pulsed Doppler Cooling of Trapped Ions
• An open-endcap blade trap for radial-2D ion crystals
• Realization of two-dimensional crystal of ions in a monolithic Paul trap