TY - CONF AU - Funcke, Lena AU - Hartung, Tobias AU - Jansen, Karl AU - Kühn, Stefan TI - Review on Quantum Computing for Lattice Field Theory JO - Proceedings of Science / International School for Advanced Studies VL - (LATTICE2022) IS - arXiv:2302.00467 SN - 1824-8039 CY - Trieste PB - SISSA M1 - PUBDB-2023-00734 M1 - arXiv:2302.00467 M1 - MIT-CTP/5482 T2 - PoS SP - 228 PY - 2023 N1 - 25 pages, 9 figures; Proceedings of the 39th International Symposium on Lattice Field Theory, 8th-13th August 2022, Rheinische Friedrich-Wilhelms-Universität Bonn, Germany AB - In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the conventional Monte Carlo approach, such as the sign-problem afflicted regimes of finite baryon density, topological terms, and out-of-equilibrium dynamics. First proof-of-concept quantum computations of lattice gauge theories in (1+1) dimensions have been accomplished, and first resource-efficient quantum algorithms for lattice gauge theories in (1+1) and (2+1) dimensions have been developed. The path towards quantum computations of (3+1)-dimensional lattice gauge theories, including Lattice QCD, requires many incremental steps of improving both quantum hardware and quantum algorithms. After reviewing these requirements and recent advances, we discuss the main challenges and future directions. T2 - 39th International Symposium on Lattice Field Theory CY - 8 Aug 2022 - 13 Aug 2022, Bonn (Germany) Y2 - 8 Aug 2022 - 13 Aug 2022 M2 - Bonn, Germany KW - computer, quantum (INSPIRE) KW - baryon, density (INSPIRE) KW - lattice field theory (INSPIRE) KW - quantum algorithm (INSPIRE) KW - hardware (INSPIRE) KW - Monte Carlo (INSPIRE) KW - topological (INSPIRE) LB - PUB:(DE-HGF)16 ; PUB:(DE-HGF)8 ; PUB:(DE-HGF)7 DO - DOI:10.22323/1.430.0228 UR - https://bib-pubdb1.desy.de/record/571007 ER -