Multimode Fock-State Measurements using Dispersive Shifts in a Trapped Ion

• URL: http://arxiv.org/abs/2601.04591v1
• Date: Thu, 08 Jan 2026 04:42:33 GMT
• Title: Multimode Fock-State Measurements using Dispersive Shifts in a Trapped Ion
• Authors: Wonhyeong Choi, Jiyong Kang, Kyunghye Kim, Jaehun You, Kyungmin Lee, Taehyun Kim,
• Abstract summary: Trapped ions naturally host multiple motional modes alongside long-lived spin qubits.<n> Efficiently characterizing such bosonic registers requires the ability to access many motional modes with limited spin resources.<n>We introduce a single-spin, multimode measurement primitive using dispersive shifts in the far-detuned multimode Jaynes-Cummings interaction.
• Score: 18.500359656413107
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Trapped ions naturally host multiple motional modes alongside long-lived spin qubits, providing a scalable multimode bosonic register. Efficiently characterizing such bosonic registers requires the ability to access many motional modes with limited spin resources. Here we introduce a single-spin, multimode measurement primitive using dispersive shifts in the far-detuned multimode Jaynes-Cummings interaction. We implement a Ramsey sequence that maps phonon-number-dependent phases onto the spin, thereby realizing a multimode spin-dependent rotation (SDR). We also introduce a selective-decoupling scheme that cancels the phase induced by the carrier AC-Stark shift while preserving the phonon-number-dependent phase induced by the dispersive shift. Using this SDR-based Ramsey sequence on a single trapped ion, we experimentally extract two-mode Fock-state distributions, perform parity-based filtering of two-mode motional states, and realize a nondestructive single-shot measurement of a single-mode Fock state via repeated filtering steps.

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