Numeric optimization for configurable, parallel, error-robust entangling gates in large ion registers

Abstract

We study a class of entangling gates for trapped atomic ions and demonstrate the use of numeric optimization techniques to create a wide range of fast, error-robust gate constructions. Our approach introduces a framework for numeric optimization using individually addressed, amplitude and phase modulated controls targeting maximally and partially entangling operations on ion pairs, complete multi-ion registers, multi-ion subsets of large registers, and parallel operations within a single register. Our calculations and simulations demonstrate that the inclusion of modulation of the difference phase for the bichromatic drive used in the Mølmer-Sørensen gate permits approximately time-optimal control across a range of gate configurations, and when suitably combined with analytic constraints can also provide robustness against key experimental sources of error. We further demonstrate the impact of experimental constraints such as bounds on coupling rates or modulation band-limits on achievable performance. Using a custom optimization engine based on TensorFlow we also demonstrate time-to-solution for optimizations on ion registers up to 20 ions of order tens of minutes using a local-instance laptop, allowing computational access to system-scales relevant to near-term trapped-ion devices.

arXiv commentquantum control, quantum computing, trapped ions, optimized quantum gates

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• Quantum control methods for robust entanglement of trapped ions
• Robust two-qubit trapped ions gates using spin-dependent squeezing
• Entangling gates for trapped-ion quantum computation and quantum simulation
• Fast multi-qubit global-entangling gates without individual addressing of trapped ions
• Efficient motional-mode characterization for high-fidelity trapped-ion quantum computing
• Reverse engineering of one-qubit filter functions with dynamical invariants
• Modelling noise in global Molmer-Sorensen interactions applied to quantum approximate optimization
• The iSWAP gate with polar molecules: Robustness criteria for entangling operations
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• Measurement-Induced Heating of Trapped Ions
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• Bridging Pulse and Circuit Levels: A Geometric Framework for Deterministic Error Suppression
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