4 citations · 12 across the 12 of their papers we have counts for
12 papers
Virtual Braids and the L--Move
Louis H. Kauffman, Sofia Lambropoulou
In this paper we prove a Markov Theorem for virtual braids and for some analogs of this structure. The virtual braid group is the natural companion in the category of virtual knots…
Non-Commutative Worlds -- A Summary
Louis H. Kauffman
This paper summarizes the contents of the paper "Non-Commutative Worlds" by the author (published in New Journal of Physics Vol. 6, November 2004, pp. 2 - 46; quant-ph/0403012) and…
Virtual Knots and Links
Louis Kauffman, Vassily Olegovich Manturov
This paper is an introduction to the subject of virtual knot theory, combined with a discussion of some specific new theorems about virtual knots. The new results are as follows: W…
Universal Quantum Gate, Yang--Baxterization and Hamiltonian
Yong Zhang, Louis H. Kauffman, Mo-Lin Ge
It is fundamental to view unitary braiding operators describing topological entanglements as universal quantum gates for quantum computation. This paper derives a unitary solution…
Knot Diagrammatics
Louis H. Kauffman
This paper is a survey of knot theory and invariants of knots and links from the point of view of categories of diagrams. The topics range from foundations of knot theory to virtua…
Virtual Biquandles
Louis Kauffman, Vassily Olegovich Manturov
In the present paper, we describe new approaches for constructing virtual knot invariants. The main background of this paper comes from formulating and bringing together the ideas…