176 citations · 1.3k across the 156 of their papers we have counts for
6 papers · 2 filters
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…
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…
Quantum Knots
Louis H. Kauffman, Samuel J. Lomonaco
This paper proposes the definition of a quantum knot as a linear superposition of classical knots in three dimensional space. The definition is constructed and examples are discuss…
Quantum Hidden Subgroup Algorithms: The Devil Is in the Details
Samuel J. Lomonaco, Louis H. Kauffman
We conjecture that one of the main obstacles to creating new non-abelian quantum hidden subgroup algorithms is the correct choice of a transversal.
Non-Commutative Worlds
Louis H. Kauffman
This paper shows how the forms of gauge theory, Hamiltonian mechanics and quantum mechanics arise from a non-commutative framework for calculus and differential geometry. Discrete…
Braiding Operators are Universal Quantum Gates
Louis H. Kauffman, Samuel J. Lomonaco
This paper explores of the role of unitary braiding operators in quantum computing. We show that a single specific solution R (the Bell basis change matrix) of the Yang-Baxter Equa…