ISSN:
1615-3383
Keywords:
AMS Classification. Primary 57R56; Secondary 68Q05, 81Q70, 82B10, 94B99, 20F36.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s102080010006
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