Fault-Tolerant Quantum Computation with Higher-Dimensional Systems

Preprint

3 February 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/9802007

Abstract

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.

Keywords

FAULT TOLERANT COMPUTATION
TOLERANT COMPUTATION
DIMENSIONAL SYSTEMS
HIGHER DIMENSIONAL
TOLERANT QUANTUM
QUANTUM COMPUTER
STABILIZER CODE
TOLERANT

All Related Versions

Version 1, 1998-02-03, ArXiv
Published version: Chaos, Solitons, and Fractals, 10 (10), 1749.

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