Quantum-limited estimation of the frequency shift between two interfering photons by time sampling of their quantum beats
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911309885341696 |
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| author | Maggio, Luca Triggiani, Danilo Facchi, Paolo Tamma, Vincenzo |
| author_facet | Maggio, Luca Triggiani, Danilo Facchi, Paolo Tamma, Vincenzo |
| contents | We present a sensing scheme for estimating the frequency difference of two non-entangled photons. The technique consists of time-resolving sampling measurements at the output of a beam splitter. With this protocol, the frequency shift between two photons can be estimated with the ultimate precision achievable in nature, overcoming the limits in precision and the range of detection of frequency-resolving detectors employed in standard direct measurements of the frequencies. The sensitivity can be increased by increasing the coherence time of the photons. We show that, already with $\sim 1000$ sampling measurements, the Cramér-Rao bound is saturated independently of the value of the difference in frequency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16304 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum-limited estimation of the frequency shift between two interfering photons by time sampling of their quantum beats Maggio, Luca Triggiani, Danilo Facchi, Paolo Tamma, Vincenzo Quantum Physics We present a sensing scheme for estimating the frequency difference of two non-entangled photons. The technique consists of time-resolving sampling measurements at the output of a beam splitter. With this protocol, the frequency shift between two photons can be estimated with the ultimate precision achievable in nature, overcoming the limits in precision and the range of detection of frequency-resolving detectors employed in standard direct measurements of the frequencies. The sensitivity can be increased by increasing the coherence time of the photons. We show that, already with $\sim 1000$ sampling measurements, the Cramér-Rao bound is saturated independently of the value of the difference in frequency. |
| title | Quantum-limited estimation of the frequency shift between two interfering photons by time sampling of their quantum beats |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.16304 |