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Fault-Tolerant Quantum Computation with Higher-Dimensional Systems

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Quantum Computing and Quantum Communications (QCQC 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1509))

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.

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Author information

Authors and Affiliations

  1. T-6 Group, Los Alamos National Laboratory, USA

    Daniel Gottesman

Authors
  1. Daniel Gottesman
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Editor information

Editors and Affiliations

  1. Jet Propulsion Laboratory, California Institute of Technology Quantum Algorithms and Technologies Group Information and Computing Technologies Research Section, Mail Stop 126-347, Pasadena, CA, 91109-8099, USA

    Colin P. Williams

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© 1999 Springer-Verlag Berlin Heidelberg

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Gottesman, D. (1999). Fault-Tolerant Quantum Computation with Higher-Dimensional Systems. In: Williams, C.P. (eds) Quantum Computing and Quantum Communications. QCQC 1998. Lecture Notes in Computer Science, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49208-9_27

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  • DOI: https://doi.org/10.1007/3-540-49208-9_27

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65514-5

  • Online ISBN: 978-3-540-49208-5

  • eBook Packages: Springer Book Archive

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