Lou Kauffman is an American topologist working in knot theory and its relationships with algebra, combinatorics and physics, specifically statistical mechanics, quantum theory.
He is based at the University of Illinois at Chicago.
On knot theory related to physics/quantum field theory:
Louis Kauffman, Knots and physics, Series on Knots and Everything, Volume 1, World Scientific, 1991 (doi:10.1142/1116)
Louis Kauffman (ed.) The Interface of Knots and Physics, Proceedings of Symposia in Applied Mathematics
Volume 51 (1996) (pdf, doi:10.1090/psapm/051)
On the Crane-Yetter model 4d TQFT:
On topological quantum computation with anyons/braid group statistics (braid group representations):
Louis Kauffman, Quantum Topology and Quantum Computing, in: Samuel J. Lomonaco (ed.), Quantum Computation: A Grand Mathematical Challenge for the Twenty-First Century and the Millennium, Proceedings of Symposia in Applied Mathematics 58, AMS (2002) [pdf, doi:10.1090/psapm/058]
(in relation to quantum topology)
Louis H. Kauffman, Samuel J. Lomonaco, Braiding Operators are Universal Quantum Gates, New Journal of Physics, Volume 6, January 2004 (arXiv:quant-ph/0401090, doi:10.1088/1367-2630/6/1/134)
Yong Zhang, Louis H. Kauffman, Mo-Lin Ge: Yang–Baxterizations, Universal Quantum Gates and Hamiltonians, Quantum Inf Process 4 (2005) 159–197 [doi:10.1007/s11128-005-7655-7]
Samuel J. Lomonaco, Louis Kauffman, Topological Quantum Computing and the Jones Polynomial, Proc. SPIE 6244, Quantum Information and Computation IV, 62440Z (12 May 2006) (arXiv:quant-ph/0605004)
Louis H. Kauffman, Samuel J. Lomonaco, Topological quantum computing and braid group representations, Proceedings Volume 6976, Quantum Information and Computation VI; 69760M (2008) (doi:10.1117/12.778068, rg:228451452)
Louis H. Kauffman, Majorana Fermions and Representations of the Braid Group, International Journal of Modern Physics AVol. 33, No. 23, 1830023 (2018) (arXiv:1710.04650, doi:10.1142/S0217751X18300235)
On quantum computation and more generally on quantum systems:
Last revised on April 6, 2025 at 19:06:43. See the history of this page for a list of all contributions to it.