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Jan 4, 2001 · Topological Quantum Computation. Michael H. Freedman, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang. The theory of quantum computation can be constructed from the abstract study of anyonic systems. In mathematical terms, these are unitary topological modular functors.
- Michael H. Freedman, Alexei Kitaev, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang
- arXiv:quant-ph/0101025
- 2001
In 2000, Michael H. Freedman, Alexei Kitaev, Michael J. Larsen, and Zhenghan Wang proved that a topological quantum computer can, in principle, perform any computation that a conventional quantum computer can do, and vice versa.
Michael H. Freedman∗, Alexei Kitaev∗†, Michael J. Larsen‡ and Zhenghan Wang‡ February 1, 2008 ∗ Microsoft Research, One Microsoft Way, Redmond, WA 98052 ∗†On leave from L.D. Landau Institute for Theoretical Physics, Kosygina St. 2, Moscow, 117940, Russia ‡ Indiana University, Department of Mathematics, Bloomington, IN 47405 ...
- Michael H. Freedman, Alexei Kitaev, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang
- 2001
Sep 12, 2008 · In this review article, current research in this field is described, focusing on the general theoretical concepts of non-Abelian statistics as it relates to topological quantum computation, on understanding non-Abelian quantum Hall states, on proposed experiments to detect non-Abelian anyons, and on proposed architectures for a topological quant...
- Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, Sankar Das Sarma
- 2008
Sep 29, 2017 · Kitaev’s most widely known work — for which he was awarded the Buckley Prize — is credited with kick-starting the field of topological quantum computation. A topological property is a global feature of a surface or space that is not changed by smooth deformations.
Alexei Yurievich Kitaev (Russian: Алексей Юрьевич Китаев; born August 26, 1963) is a Russian–American professor of physics at the California Institute of Technology and permanent member of the Kavli Institute for Theoretical Physics.
The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84. Current volume. Articles in press. Recently published. All issues : 1891 – Present. Topological quantum computation. HTML articles powered by AMS MathViewer. by Michael H. Freedman, Alexei Kitaev, Michael J. Larsen and Zhenghan Wang PDF.
