2021/05/09 by Nikita Kolganov, Kolganov, Nikita, S. Mironov +3 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.2105.03980
openalex publication_date 2021/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Chern-Simons topological quantum computer is a device that can be effectively described by the Chern-Simons topological quantum field theory and used for quantum computations. Quantum qudit gates of this quantum computer are represented by sequences of quantum R-matrices. Its dimension and explicit form depend on the parameters of the Chern-Simons theory -- level k, gauge group SU(N), and representation, which is chosen to be symmetric representation [r]. In this paper, we examine the universality of such a quantum computer. We prove that for sufficiently large k it is universal, and the minimum allowed value of k depends on the remaining parameters r and N.