176 citations · 590 across the 34 of their papers we have counts for
4 papers · 1 filter
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.
Generalized GHZ States and Distributed Quantum Computing
Anocha Yimsiriwattana, Samuel J. Lomonaco
A key problem in quantum computing is finding a viable technological path toward the creation of a scalable quantum computer. One possible approach toward solving part of this prob…
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…