Year: 2025
Type: article
Abstract: We present a thorough investigation of nonstabilizerness---a fundamental quantum resource that quantifies state complexity within the framework of quantum computing---in a one-dimensional U(1) lattice gauge theory including matter fields. We show how nonstabilizerness is always extensive with volume, and has no direct relation to the presence of critical points. However, its derivatives typically display discontinuities across the latter: This indicates that nonstabilizerness is strongly sensitive to criticality, but in a manner that is very different from entanglement (which, typically, is maximal at the critical point). Our results indicate that error-corrected simulations of lattice gauge theories close to the continuum limit have similar computational costs to those at finite correlation length and provide rigorous lower bounds for quantum resources of such quantum computations.
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: European High Performance Computing Joint Undertaking, Simons Foundation, European Commission, Abdus Salam International Centre for Theoretical Physics, Narodowe Centrum Nauki, Narodowym Centrum Nauki, China Scholarship Council, Infrastruktura PL-Grid, QuantERA, European Climate, Infrastructure and Environment Executive Agency
OpenAlex ID: W4407173519