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This paper presents a scalable optimization protocol for trapped-ion quantum simulators, enabling the synthesis of complex interaction graphs with laser tones that scale nearly linearly with system size. By leveraging native motional modes and penalizing residual excitation, the method effectively overcomes engineering challenges in creating both long-range and short-range coupling topologies. The approach significantly expands the programmable capabilities of trapped-ion architectures while maintaining low computational overhead for experimental implementation.
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Residual-Guided Global-Drive Design in Trapped-Ion Quantum Simulators

arXiv2 min read

arXiv:2610.12314v1 Announce Type: new Abstract: Trapped-ion quantum simulators are powerful platforms for exploring many-body physics, yet engineering of arbitrary interaction graphs remains a central challenge. To leverage the intrinsic structure of native motional modes and thereby enhance programmability, a residual-guided optimization protocol is introduced for the systematic design of multi-tone global drive spectra. While the achievable interaction fidelity is fundamentally bounded by the available motional modes, this adaptive strategy converges on the theoretical limit using a number of laser tones that scales nearly linearly with system size. The versatility of this method enables the synthesis of both long-range and traditionally difficult short-range coupling topologies. Additionally, by incorporating a penalty for residual motional excitation, the algorithm effectively mitigates errors associated with incomplete closure of phase-space trajectories. Overall, this scalable framework significantly expands the programmable capabilities of trapped-ion architectures while maintaining low computational overhead and high potential for experimental implementation.

Abstract:Trapped-ion quantum simulators are powerful platforms for exploring many-body physics, yet engineering of arbitrary interaction graphs remains a central challenge. To leverage the intrinsic structure of native motional modes and thereby enhance programmability, a residual-guided optimization protocol is introduced for the systematic design of multi-tone global drive spectra. While the achievable interaction fidelity is fundamentally bounded by the available motional modes, this adaptive strategy converges on the theoretical limit using a number of laser tones that scales nearly linearly with system size. The versatility of this method enables the synthesis of both long-range and traditionally difficult short-range coupling topologies. Additionally, by incorporating a penalty for residual motional excitation, the algorithm effectively mitigates errors associated with incomplete closure of phase-space trajectories. Overall, this scalable framework significantly expands the programmable capabilities of trapped-ion architectures while maintaining low computational overhead and high potential for experimental implementation.

Quantum Physics (quant-ph); Optimization and Control (math.OC)

arXiv:2610.12314 [quant-ph]

(or arXiv:2610.12314v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.12314 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 241 words

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