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Topological quantum computation--from basic concepts to first experiments.

Ady Stern1, Netanel H Lindner

  • 1Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel. adiel.stern@weizmann.ac.il

Science (New York, N.Y.)
|March 9, 2013
PubMed
Summary
This summary is machine-generated.

Topological quantum computation uses non-Abelian quantum phases for robust quantum information processing. This review covers fundamental concepts and experimental solid-state realizations, including Majorana fermions and quantum Hall states.

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Area of Science:

  • Quantum Physics
  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Quantum computation demands precise control over quantum states for tasks beyond classical capabilities.
  • Topological quantum computation offers a robust approach by leveraging non-Abelian quantum phases.
  • Non-Abelian phases enable nonlocal storage and manipulation of quantum information, providing inherent protection against environmental noise and operational imperfections.

Purpose of the Study:

  • To review the fundamental concepts of non-Abelian quantum phases.
  • To explore their application in topologically protected quantum information processing.
  • To discuss current experimental realizations in solid-state systems.

Main Methods:

  • Review of theoretical frameworks for non-Abelian phases.
  • Analysis of topological protection mechanisms in quantum computation.
  • Survey of experimental platforms including Majorana fermions and quantum Hall states.

Main Results:

  • Non-Abelian phases offer a pathway to fault-tolerant quantum computation.
  • Significant theoretical and experimental progress has been achieved in realizing these phases.
  • Solid-state systems provide promising avenues for experimental implementation.

Conclusions:

  • Topological quantum computation presents a viable strategy for building robust quantum computers.
  • Continued research in non-Abelian phases and their experimental realization is crucial.
  • The reviewed systems offer concrete platforms for advancing the field.