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Digitale Medien

Quantum Computation and the Localization of Modular Functors (2001)

Freedman, Michael H.

Springer

Foundations of computational mathematics 1 (2001), S. 183-204

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ISSN: 1615-3383

Schlagwort(e): AMS Classification. Primary 57R56; Secondary 68Q05, 81Q70, 82B10, 94B99, 20F36.

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract. The mathematical problem of localizing modular functors to neighborhoods of points is shown to be closely related to the physical problem of engineering a local Hamiltonian for a computationally universal quantum medium. For genus =0 surfaces, such a local Hamiltonian is mathematically defined. Braiding defects of this medium implements a representation associated to the Jones polynomial and this representation is known to be universal for quantum computation.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/s102080010006

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