18 citations · 40 across the 14 of their papers we have counts for
6 papers · 1 filter
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…
Virtual Braids
Louis H. Kauffman, Sofia Lambropoulou
In the present paper we give a new method for converting virtual knots and links to virtual braids. Indeed the braiding method given in this paper is quite general, and applies to…
A Self-Linking Invariant of Virtual Knots
Louis H. Kauffman
In this paper we introduce a new invariant of virtual knots and links that is non-trivial for infinitely many virtuals, but is trivial on classical knots and links. The invariant i…
Minimal Flat Knotted Ribbons
Louis H. Kauffman
This paper gives mathematical models for flat knotted ribbons, and makes specific conjectures for the least length of ribbon (for a given width) needed to tie the trefoil knot and…