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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.02301 |
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| _version_ | 1866918425770590208 |
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| author | Anikin, Evgeny V. Chuchalin, Andrey Donchenko, Dimitrii Lakhmanskaya, Olga Lakhmanskiy, Kirill |
| author_facet | Anikin, Evgeny V. Chuchalin, Andrey Donchenko, Dimitrii Lakhmanskaya, Olga Lakhmanskiy, Kirill |
| contents | In trapped-ion chains, multipartite GHZ states can be prepared natively with the help of a single bichromatic laser pulse. However, higher-order terms in the expansion in the Lamb-Dicke parameter $η$ limit the GHZ state preparation infidelity for rectangular and bell-like pulses to the order of $η^4$. For tens of ions, the infidelity caused by out-of-Lamb-Dicke effects can reach several percents. We propose an amplitude and phase-modulated pulse shape, an "echoed lemniscate pulse", which cancels this contribution into error in the leading order. For the proposed pulse, the infidelity scales as $η^6$. The improved scaling is achieved because of a special phase trajectory of a collective motional mode following the figure-eight curve (lemniscate). We demonstrate that the lemniscate pulse allows achieving lower infidelity than bell-like pulses, which can be as low as $10^{-4}$ for $20$-ion chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02301 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lemniscate phase trajectories for high-fidelity GHZ state preparation in trapped-ion chains Anikin, Evgeny V. Chuchalin, Andrey Donchenko, Dimitrii Lakhmanskaya, Olga Lakhmanskiy, Kirill Quantum Physics In trapped-ion chains, multipartite GHZ states can be prepared natively with the help of a single bichromatic laser pulse. However, higher-order terms in the expansion in the Lamb-Dicke parameter $η$ limit the GHZ state preparation infidelity for rectangular and bell-like pulses to the order of $η^4$. For tens of ions, the infidelity caused by out-of-Lamb-Dicke effects can reach several percents. We propose an amplitude and phase-modulated pulse shape, an "echoed lemniscate pulse", which cancels this contribution into error in the leading order. For the proposed pulse, the infidelity scales as $η^6$. The improved scaling is achieved because of a special phase trajectory of a collective motional mode following the figure-eight curve (lemniscate). We demonstrate that the lemniscate pulse allows achieving lower infidelity than bell-like pulses, which can be as low as $10^{-4}$ for $20$-ion chains. |
| title | Lemniscate phase trajectories for high-fidelity GHZ state preparation in trapped-ion chains |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.02301 |