1998/02/02 by Daniel Gottesman · 1 citation
Computer Science · Physics and Astronomy · #Distributed systems and fault tolerance #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1016/s0960-0779(98)00218-5
published as Chaos Solitons Fractals 10:1749-1758,1999 · 12 pages, LaTeX w/ llncs style, to be presented at the 1st NASA International Conference on Quantum Computing and Quantum Communications
arxiv created 1998/02/02 · openalex publication_date 1999/09/01 · arxiv updated 2010/05/27 · openalex created_date 2022/09/16 · openalex updated_date 2026/07/23
Instead of a quantum computer where the fundamental units are 2-dimensional qubits, we can consider a quantum computer made up of d-dimensional systems. There is a straightforward generalization of the class of stabilizer codes to d-dimensional systems, and I will discuss the theory of fault-tolerant computation using such codes. I prove that universal fault-tolerant computation is possible with any higher-dimensional stabilizer code for prime d.