Fault-Tolerant Quantum Computation with Higher-Dimensional Systems

Details Fault-Tolerant Quantum Computation with Higher-Dimensional Systems Fault-Tolerant Quantum Computation with Higher-Dimensional Systems

1998-02-02

arxiv.org/abs/quant-ph/9802007v1

Chaos Solitons Fractals 10:1749-1758,1999

Physics

Quantum Physics

12 pages, LaTeX w/ llncs style, to be presented at the 1st NASA International Conference on Quantum Computing and Quantum Comm

Scientific paper

10.1016/S0960-0779(98)00218-5

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.

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