Measuring full counting statistics in a trapped-ion quantum simulator
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866917046547120128 |
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| author | Joshi, Lata Kh Ares, Filiberto Joshi, Manoj K. Roos, Christian F. Calabrese, Pasquale |
| author_facet | Joshi, Lata Kh Ares, Filiberto Joshi, Manoj K. Roos, Christian F. Calabrese, Pasquale |
| contents | In quantum mechanics, the probability distribution function (PDF) and full counting statistics (FCS) play a fundamental role in characterizing the fluctuations of quantum observables, as they encode the complete information about these fluctuations. In this letter, we measure these two quantities in a trapped-ion quantum simulator for the transverse and longitudinal magnetization within a subsystem. We utilize the toolbox of classical shadows to postprocess the measurements performed in random bases. The measurement scheme efficiently allows access to the FCS and PDF of all possible operators on desired choices of subsystems of an extended quantum system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measuring full counting statistics in a trapped-ion quantum simulator Joshi, Lata Kh Ares, Filiberto Joshi, Manoj K. Roos, Christian F. Calabrese, Pasquale Quantum Physics Statistical Mechanics In quantum mechanics, the probability distribution function (PDF) and full counting statistics (FCS) play a fundamental role in characterizing the fluctuations of quantum observables, as they encode the complete information about these fluctuations. In this letter, we measure these two quantities in a trapped-ion quantum simulator for the transverse and longitudinal magnetization within a subsystem. We utilize the toolbox of classical shadows to postprocess the measurements performed in random bases. The measurement scheme efficiently allows access to the FCS and PDF of all possible operators on desired choices of subsystems of an extended quantum system. |
| title | Measuring full counting statistics in a trapped-ion quantum simulator |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2501.14424 |