176 citations · 1.3k across the 156 of their papers we have counts for
13 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…
Teleportation Topology
Louis H. Kauffman
We discuss the structure of teleportation. By associating matrices to the preparation and measurement states, we show that for a unitary transformation M there is a full teleportat…
Virtual Knot Diagrams and the Witten-Reshetikhin-Turaev Invariant
H. A. Dye, Louis H. Kauffman
The Witten-Reshetikhin-Turaev invariant of classical link diagrams is generalized to virtual link diagrams. This invariant is unchanged by the framed Reidemeister moves and the Kir…