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Proceedings Paper

Quantizing braids and other mathematical structures: the general quantization procedure
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Paper Abstract

Extending the methods from our previous work on quantum knots and quantum graphs, we describe a general procedure for quantizing a large class of mathematical structures which includes, for example, knots, graphs, groups, algebraic varieties, categories, topological spaces, geometric spaces, and more. This procedure is different from that normally found in quantum topology. We then demonstrate the power of this method by using it to quantize braids. This general method produces a blueprint of a quantum system which is physically implementable in the same sense that Shor's quantum factoring algorithm is physically implementable. Mathematical invariants become objects that are physically observable.

Paper Details

Date Published: 3 June 2011
PDF: 14 pages
Proc. SPIE 8057, Quantum Information and Computation IX, 805702 (3 June 2011); doi: 10.1117/12.883681
Show Author Affiliations
Samuel J. Lomonaco, Univ. of Maryland, Baltimore County (United States)
Louis H. Kauffman, Univ. of Illinois at Chicago (United States)

Published in SPIE Proceedings Vol. 8057:
Quantum Information and Computation IX
Eric Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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