Chenwei Lv

Oct 1, 2024 | link.aps.org | Chenwei Lv |Ren Zhang |Xi'an Jiaotong |Qi Zhou

Krylov complexity has emerged as a probe of operator growth in a wide range of nonequilibrium quantum dynamics. However, a fundamental issue remains in such studies: the definition of the distance between basis states in Krylov space is ambiguous. Here we show that Krylov complexity can be rigorously established from circuit complexity when dynamical symmetries exist.