Non-invertible symmetries act locally by quantum operations

Autor:	Okada, Masaki, Tachikawa, Yuji
Rok vydání:	2024
Předmět:	High Energy Physics - Theory Condensed Matter - Strongly Correlated Electrons Quantum Physics
Zdroj:	Phys. Rev. Lett. 133 (2024) 191602
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.133.191602
Popis:	Non-invertible symmetries of quantum field theories and many-body systems generalize the concept of symmetries by allowing non-invertible operations in addition to more ordinary invertible ones described by groups. The aim of this paper is to point out that these non-invertible symmetries act on local operators by quantum operations, i.e. completely positive maps between density matrices, which form a natural class of operations containing both unitary evolutions and measurements and play an important role in quantum information theory. This observation will be illustrated by the Kramers--Wannier duality of the one-dimensional quantum Ising chain, which is a prototypical example of non-invertible symmetry operations. Comment: 5+2 pages; v2: published version, with newly added supplementary materials
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.20062 Zobrazit plný text záznamu View this record from Arxiv