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In this work, we investigate the behavior of non-stabilizerness around criticality in quantum spin chains. To quantify non-stabilizerness, we employ a monotone called mana, based on the negativity of the discrete Wigner function. This measure captures non-stabilizerness for both pure and mixed states. We introduce R\u00e9nyi generalizations of mana, which are also measures of non-stabilizerness for pure states, and utilize it to compute mana in large quantum systems. We consider the three-state Potts model and its non-integrable extension and we provide strong evidence that the mutual mana exhibits universal logarithmic scaling with distance in conformal field theory, as is the case for entanglement.<\/jats:p>","DOI":"10.22331\/q-2024-07-17-1413","type":"journal-article","created":{"date-parts":[[2024,7,17]],"date-time":"2024-07-17T14:42:46Z","timestamp":1721227366000},"page":"1413","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":33,"title":["Critical behaviors of non-stabilizerness in quantum spin chains"],"prefix":"10.22331","volume":"8","author":[{"given":"Poetri Sonya","family":"Tarabunga","sequence":"first","affiliation":[{"name":"The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, 34151 Trieste, Italy"},{"name":"International School for Advanced Studies (SISSA), via Bonomea 265, 34136 Trieste, Italy"},{"name":"INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste, Italy"}]}],"member":"9598","published-online":{"date-parts":[[2024,7,17]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"Ryszard Horodecki, Pawe\u0142 Horodecki, Micha\u0142 Horodecki, and Karol Horodecki. ``Quantum entanglement''. 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