Topology Atlas | Conferences

Knots in Washington XXXIII; Categorification of Knots, Algebras, and Quandles; Quantum Computing
December 2-4, 2011
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU),Mark Kidwell (U.S. Naval Academy and GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Quantizing Braids and Other Mathematical Structures
by
Samuel J. Lomonaco
University of Maryland Baltimore County (UMBC)
Coauthors: Louis H. Kauffman

We make explicit the general procedure for quantizing knots and braids, and show how this procedure can also be used to quantize other mathematical structures such as differential manifolds, Riemannian manifolds, and also algebraic structures.

We then discuss how these quantized objects can be used to create new quantum algorithms.

Date received: November 14, 2011

Copyright © 2011 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbdt-18.