Stochastic waveform estimation at the fundamental quantum limit
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911076338106368 |
|---|---|
| author | Gardner, James W. Gefen, Tuvia Haine, Simon A. Hope, Joseph J. Preskill, John Chen, Yanbei McCuller, Lee |
| author_facet | Gardner, James W. Gefen, Tuvia Haine, Simon A. Hope, Joseph J. Preskill, John Chen, Yanbei McCuller, Lee |
| contents | Although measuring the deterministic waveform of a weak classical force is a well-studied problem, estimating a random waveform, such as the spectral density of a stochastic signal field, is much less well-understood despite it being a widespread task at the frontier of experimental physics. State-of-the-art precision sensors of random forces must account for the underlying quantum nature of the measurement, but the optimal quantum protocol for interrogating such linear sensors is not known. We derive the fundamental precision limit, the extended channel quantum Cramér-Rao bound, and the optimal protocol that attains it. In the experimentally relevant regime where losses dominate, we prove that non-Gaussian state preparation and measurements are required for optimality. We discuss how this non-Gaussian protocol could improve searches for signatures of quantum gravity, stochastic gravitational waves, and axionic dark matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13867 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic waveform estimation at the fundamental quantum limit Gardner, James W. Gefen, Tuvia Haine, Simon A. Hope, Joseph J. Preskill, John Chen, Yanbei McCuller, Lee Quantum Physics General Relativity and Quantum Cosmology Although measuring the deterministic waveform of a weak classical force is a well-studied problem, estimating a random waveform, such as the spectral density of a stochastic signal field, is much less well-understood despite it being a widespread task at the frontier of experimental physics. State-of-the-art precision sensors of random forces must account for the underlying quantum nature of the measurement, but the optimal quantum protocol for interrogating such linear sensors is not known. We derive the fundamental precision limit, the extended channel quantum Cramér-Rao bound, and the optimal protocol that attains it. In the experimentally relevant regime where losses dominate, we prove that non-Gaussian state preparation and measurements are required for optimality. We discuss how this non-Gaussian protocol could improve searches for signatures of quantum gravity, stochastic gravitational waves, and axionic dark matter. |
| title | Stochastic waveform estimation at the fundamental quantum limit |
| topic | Quantum Physics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.13867 |