Mitigating Detuning-Induced Systematic Errors in Entanglement-Enhanced Metrology
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918374856982528 |
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| author | Kukita, Shingo Matsuzaki, Yuichiro |
| author_facet | Kukita, Shingo Matsuzaki, Yuichiro |
| contents | Quantum sensing leverages non-classical resources to enhance precision. In particular, Greenberger-Horne-Zeilinger (GHZ) states can, in principle, attain the Heisenberg limit that surpasses the standard quantum limit. While many studies have examined how open-system noise-typically modeled with Lindblad master equations-degrades GHZ-based metrology, coherent control imperfections during state preparation and readout have received less attention. Here, we analyze the effect of detuning between actual and nominal spin frequencies in a GHZ-state preparation scheme employing a frequency selective pulse. We show that detuning induces coherent, systematic error that prevents GHZ sensing from reaching the Heisenberg limit. To mitigate this effect, we design a composite-pulse protocol that compensates for detuning-induced errors and improves the sensitivity under the effect of coherent error. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16739 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mitigating Detuning-Induced Systematic Errors in Entanglement-Enhanced Metrology Kukita, Shingo Matsuzaki, Yuichiro Quantum Physics Quantum sensing leverages non-classical resources to enhance precision. In particular, Greenberger-Horne-Zeilinger (GHZ) states can, in principle, attain the Heisenberg limit that surpasses the standard quantum limit. While many studies have examined how open-system noise-typically modeled with Lindblad master equations-degrades GHZ-based metrology, coherent control imperfections during state preparation and readout have received less attention. Here, we analyze the effect of detuning between actual and nominal spin frequencies in a GHZ-state preparation scheme employing a frequency selective pulse. We show that detuning induces coherent, systematic error that prevents GHZ sensing from reaching the Heisenberg limit. To mitigate this effect, we design a composite-pulse protocol that compensates for detuning-induced errors and improves the sensitivity under the effect of coherent error. |
| title | Mitigating Detuning-Induced Systematic Errors in Entanglement-Enhanced Metrology |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.16739 |