Infinite-fold Asymptotic Quantum Advantage in Classical Correlation Sensing
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918143540068352 |
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| author | Nötzel, Janis Munar-Vallespir, Pere |
| author_facet | Nötzel, Janis Munar-Vallespir, Pere |
| contents | We study the hypothesis testing problem of distinguishing between correlated thermal noise and uncorrelated thermal noise of the same average energy on $K$ detectors in asymptotic asymmetric hypothesis testing. We compare the performance of heterodyne or homodyne detection with classical post-processing, the most general quantum strategy (involving any arbitrary measurement), and a simple strategy involving a photonic chip and On-Off detection. When the average received energy per detector goes to zero, the photonic chip strategy asymptotically achieves the optimal decrease in the error, while heterodyne/homodyne measurements do not. Thus, we show that linear optics and On-Off measurement are enough to achieve better detection than classical methods when detecting correlations in thermal optical signals. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_17235 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinite-fold Asymptotic Quantum Advantage in Classical Correlation Sensing Nötzel, Janis Munar-Vallespir, Pere Quantum Physics Information Theory We study the hypothesis testing problem of distinguishing between correlated thermal noise and uncorrelated thermal noise of the same average energy on $K$ detectors in asymptotic asymmetric hypothesis testing. We compare the performance of heterodyne or homodyne detection with classical post-processing, the most general quantum strategy (involving any arbitrary measurement), and a simple strategy involving a photonic chip and On-Off detection. When the average received energy per detector goes to zero, the photonic chip strategy asymptotically achieves the optimal decrease in the error, while heterodyne/homodyne measurements do not. Thus, we show that linear optics and On-Off measurement are enough to achieve better detection than classical methods when detecting correlations in thermal optical signals. |
| title | Infinite-fold Asymptotic Quantum Advantage in Classical Correlation Sensing |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2503.17235 |