Quantum computing: implementations exploiting topology   back  
Introduction to Josephson junctions [1,2,3]

Quantum dimer model [3,4] on the triangular [5] 
and Kagome lattices.

Implementation of topologically protected quantum 
bits [6]

A look at non-abelian quantum computation [7,8].


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[1] "The Feynman Lectures on Physics" Vol. III - Ch. 21, 
    Addison-Wesley;

[2] M. Tinkham, "Introduction to Superconductivity", Second 
    Edition, Dover (2004), Chapters 6 and 7;

[3] L.-P. Levy, "Magnetism and Superconductivity", 
    Springer-Verlag (2000);

[4] E. Fradkin, "Field Theories of Condensed Matter Systems", 
    Frontiers in Physics 82, Westview Press (1991);

[5] R. Moessner and S. L. Sondhi, Phys. Rev. Lett. 86, 
    1881 (2001);

[6] L. B. Ioffe et al., Nature 415, 503 (2002).

[7] A. Yu. Kitaev, Ann. of Phys. 303, 2 (2003);

[8] J. Preskill, "Quantum Computation", Chapter 9: "Topological 
    Quantum Computation". On-line lecture notes: 
    www.theory.caltech.edu/people/preskill/ph229