2021/02/28 by Felix M. Haehl, Ying Zhao · 15 citations
Mathematics · Physics and Astronomy · #Astronomy #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Extremal black hole #Horizon #Mathematical and Theoretical Analysis #Mathematical physics #Micro black hole #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Quantum mechanics #Theoretical physics #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1007/jhep06(2021)056
published in Journal of High Energy Physics 2021(6) (Springer Nature) · 18 Pages, 10 figures. v2: published version
openalex publication_date 2021/06/01 · arxiv created 2021/06/08 · arxiv updated 2021/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A bstract The future interior of black holes in AdS/CFT can be described in terms of a quantum circuit. We investigate boundary quantities detecting properties of this quantum circuit. We discuss relations between operator size, quantum complexity, and the momentum of an infalling particle in the black hole interior. We argue that the trajectory of the infalling particle in the interior close to the horizon is related to the growth of operator size. The notion of size here differs slightly from the size which has previously been related to momentum of exterior particles and provides an interesting generalization. The fact that both exterior and interior momentum are related to operator size growth is a manifestation of complementarity.