Strongly interacting quantum matter: complexity beyond entanglement

• Grant number: 25/02935-4
• Support Opportunities: Regular Research Grants
• Start date: October 01, 2025
• End date: September 30, 2027
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: Vivian Vanessa França Henn
• Grantee: Vivian Vanessa França Henn
• Principal researcher abroad: Marcello Dalmonte
• Institution abroad: Abdus Salam International Centre for Theoretical Physics (ICTP), Italy
• Host Institution: Instituto de Química (IQ). Universidade Estadual Paulista (UNESP). Campus de Araraquara. Araraquara , SP, Brazil
• Associated research grant: 21/06744-8 - Quantum phase transitions in nanomaterials: developing of density functionals and their applications via DFT, AP.JP2

Abstract

This project aims to explore the role of quantum resources, particularly entanglement and nonstabilizer states, in strongly correlated systems and quantum computation. A key aspect of this proposal is to go beyond entanglement by focusing on nonstabilizer states, which are essential for achieving quantum computational supremacy. While stabilizer states, despite being highly entangled, can be efficiently simulated classically, nonstabilizer (or magic) states provide the additional computational resource required for universal quantum computation. Our goal is to explore the connection between nonstabilizer states and quantum phase transitions using model Hamiltonians and optimized numerical techniques. This collaboration with Prof. Marcello Dalmonte (ICTP, Trieste) brings together complementary expertise in quantum information and condensed matter physics. Prof. Dalmonte's recent work on nonstabilizer quantification within matrix product state frameworks will be instrumental in advancing our research. Through joint missions, seminars, and potential conference organization, this partnership aims to establish a long-term international research network dedicated to quantum many-body physics and quantum technologies. (AU)