Joint estimation of position and momentum with arbitrarily high precision using non-Gaussian states
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917976490377216 |
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| author | Frigerio, Massimo Paris, Matteo G. A. Lopetegui, Carlos Ernesto Walschaers, Mattia |
| author_facet | Frigerio, Massimo Paris, Matteo G. A. Lopetegui, Carlos Ernesto Walschaers, Mattia |
| contents | We address the joint estimation of changes in the position and linear momentum of a quantum particle or, equivalently, changes in the complex field of a bosonic mode. Although these changes are generated by non-commuting operators, we show that leveraging non-Gaussianity enables their simultaneous estimation with arbitrarily high precision and arbitrarily low quantum incompatibility. Specifically, we demonstrate that any pure non-Gaussian state provides an advantage over all Gaussian states, whether pure or mixed. Moreover, properly tuned non-Gaussian mixtures of Gaussian states can also serve as a resource. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01910 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Joint estimation of position and momentum with arbitrarily high precision using non-Gaussian states Frigerio, Massimo Paris, Matteo G. A. Lopetegui, Carlos Ernesto Walschaers, Mattia Quantum Physics We address the joint estimation of changes in the position and linear momentum of a quantum particle or, equivalently, changes in the complex field of a bosonic mode. Although these changes are generated by non-commuting operators, we show that leveraging non-Gaussianity enables their simultaneous estimation with arbitrarily high precision and arbitrarily low quantum incompatibility. Specifically, we demonstrate that any pure non-Gaussian state provides an advantage over all Gaussian states, whether pure or mixed. Moreover, properly tuned non-Gaussian mixtures of Gaussian states can also serve as a resource. |
| title | Joint estimation of position and momentum with arbitrarily high precision using non-Gaussian states |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.01910 |