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We explore the measurement-induced phase transition through the Quantum Fisher Information in two different metrological scenarios. We demonstrate through the scaling behavior of the quantum Fisher information the transition of the multi-partite entanglement across the phases. In analogy with standard quantum phase transition, we reveal signature of a measurement-induced phase transition in the non-analytic behaviour of the quantum Fisher information as the measurement strength approaches the critical value. Our results offer novel insights into the features of a quantum systems undergoing measurement-induced phase transition and indicate potential avenues for further exploration in the field of quantum physics.<\/jats:p>","DOI":"10.22331\/q-2024-04-30-1326","type":"journal-article","created":{"date-parts":[[2024,4,30]],"date-time":"2024-04-30T15:46:24Z","timestamp":1714491984000},"page":"1326","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":16,"title":["Metrology and multipartite entanglement in measurement-induced phase transition"],"prefix":"10.22331","volume":"8","author":[{"given":"Giovanni","family":"Di Fresco","sequence":"first","affiliation":[{"name":"Dipartimento di Fisica e Chimica ``Emilio Segr\u00e8\", Group of Interdisciplinary Theoretical Physics, Universit\u00e0 degli studi di Palermo, Viale delle Scienze, Ed. 18, I-90128 Palermo, Italy"}]},{"given":"Bernardo","family":"Spagnolo","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica e Chimica ``Emilio Segr\u00e8\", Group of Interdisciplinary Theoretical Physics, Universit\u00e0 degli studi di Palermo, Viale delle Scienze, Ed. 18, I-90128 Palermo, Italy"}]},{"given":"Davide","family":"Valenti","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica e Chimica ``Emilio Segr\u00e8\", Group of Interdisciplinary Theoretical Physics, Universit\u00e0 degli studi di Palermo, Viale delle Scienze, Ed. 18, I-90128 Palermo, Italy"}]},{"given":"Angelo","family":"Carollo","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica e Chimica ``Emilio Segr\u00e8\", Group of Interdisciplinary Theoretical Physics, Universit\u00e0 degli studi di Palermo, Viale delle Scienze, Ed. 18, I-90128 Palermo, Italy"}]}],"member":"9598","published-online":{"date-parts":[[2024,4,30]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"Davide Rossini and Ettore Vicari. ``Measurement-induced dynamics of many-body systems at quantum criticality''. 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