2026-06-29T02:47:58Zhttps://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

00925njm 22002777a 4500 dc Perales Eceiza, Álvaro author Cubitt, Toby author Gu, Mile author Pérez García, David author Wolf, Michael M. author 2025 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. 0370-1573 10.1016/j.physrep.2025.06.004 https://hdl.handle.net/20.500.14352/132723 https://doi.org/10.1016/j.physrep.2025.06.004 Undecidability in physics: A review