2026-06-01T02:27:17Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/1327232026-02-24T01:05:32Zcom_20.500.14352_14col_20.500.14352_15

Undecidability in physics: A review Perales Eceiza, Álvaro Cubitt, Toby Gu, Mile Pérez García, David Wolf, Michael M. Undecidable problems in physics Quantum information theory Many body systems Física (Física) Matemáticas (Matemáticas) 12 Matemáticas 2025 Acuerdos transformativos CRUE The study of undecidability in problems arising from physics has experienced a renewed interest, mainly in connection with quantum information problems. The goal of this review is to survey this recent development. After a historical introduction, we first explain the necessary results about undecidability in mathematics and computer science. Then we briefly review the first results about undecidability in physics which emerged mostly in the 80s and early 90s. Finally, we focus on the most recent contributions, which we divide in two main categories: many body systems and quantum information problems. Ministerio de Ciencia e Innovación Universidad Complutense de Madrid Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas Instituto de Ciencias Matemáticas (ICMAT) TRUE pub 2026-02-19T15:50:34Z 2026-02-19T15:50:34Z 2025 review article https://hdl.handle.net/20.500.14352/132723 0370-1573 10.1016/j.physrep.2025.06.004 eng CEX2023-001347-S info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113523GB-I00/ES/ANALISIS MATEMATICO Y TEORIA DE INFORMACION CUANTICA/ FEI-EU-22-06 Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ open access application/pdf Elsevier