Quantum Speed Limits to Operator Growth
暫譯: 量子運算增長的速度極限

Nicoletta Carabba undertook her PhD studies at the University of Luxembourg in 2021-2024 under the supervision of Prof. Adolfo del Campo. She previously received bachelor's and master's degrees, both cum laude, at the University of Pisa. The subject of her master thesis was the study of U(1) axial condensates in the high temperature, chirally-restored phase of QCD, with the purpose of shedding light on a long-standing question: the fate of the U(1) axial symmetry above the chiral transition. The work, carried out under the supervision of Prof. Enrico Meggiolaro, resulted in a publication in Physical Review D. Motivated by a deep fascination with the quantum world, during her PhD, she investigated the nature of time in quantum mechanics aiming at assessing the fundamental timescales and the amount of complexity of the dynamics. Her research focused on the field of quantum speed limits (QSL) and operator growth. Nicoletta also performed numerical studies during her research visits at the Donostia International Physics Center and the Ecole Normale Supérieure in Paris. Her PhD thesis is based on three publications. The first, published in Communications Physics, establishes a universal constraint to the growth of operator complexity and was recognized with the best theoretical poster award at the Bristol Quantum Information Technology Workshop of 2022. Two other papers, published in Quantum, generalize the notion of QSL to the evolution of operators.

Nicoletta Carabba於2021年至2024年在盧森堡大學進行博士研究，指導教授為Adolfo del Campo教授。她之前在比薩大學獲得了學士和碩士學位，兩者均以優異成績畢業。她的碩士論文主題是研究在高溫、手性恢復相的量子色動力學（QCD）中U(1)手性凝聚態，旨在闡明一個長期存在的問題：在手性相變之上U(1)手性對稱的命運。這項工作是在Enrico Meggiolaro教授的指導下進行的，並最終發表在《Physical Review D》期刊上。因對量子世界的深厚興趣，Nicoletta在博士期間研究量子力學中的時間本質，旨在評估基本時間尺度和動態的複雜性。她的研究集中在量子速度限制（QSL）和算子增長的領域。Nicoletta還在她於Donostia國際物理中心和巴黎高等師範學校的研究訪問期間進行了數值研究。她的博士論文基於三篇出版物。第一篇發表在《Communications Physics》，建立了算子複雜性增長的普遍約束，並在2022年布里斯托量子信息技術研討會上獲得最佳理論海報獎。其他兩篇論文發表在《Quantum》，將QSL的概念推廣到算子的演化。