176 citations · 1.3k across the 156 of their papers we have counts for
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On the Classification of Rational Knots
Louis H. Kauffman, Sofia Lambropoulou
This paper gives new and elementary combinatorial topological proofs of the classification of unoriented and oriented rational knots and links. These proofs are based on the known…
A Continuous Variable Shor Algorithm
Samuel J. Lomonaco, Louis H. Kauffman
In this paper, we use the methods found in quant-ph/0201095 to create a continuous variable analogue of Shor's quantum factoring algorithm. By this we mean a quantum hidden subgrou…
Comparing Quantum Entanglement and Topological Entanglement
Louis H. Kauffman, Samuel J. Lomonaco
This paper discusses relationships between topological entanglement and quantum entanglement. Specifically, we propose that for this comparison it is fundamental to view topologica…
Quantum Hidden Subgroup Problems: A Mathematical Perspective
Samuel J. Lomonaco, Louis H. Kauffman
The ultimate objective of this paper is to create a stepping stone to the development of new quantum algorithms. The strategy chosen is to begin by focusing on the class of abelian…