28 citations · 69 across the 15 of their papers we have counts for
5 papers · 1 filter
The central nature of the Hidden Subgroup problem
S. A. Fenner, Y. Zhang
We show that several problems that figure prominently in quantum computing, including Hidden Coset, Hidden Shift, and Orbit Coset, are equivalent or reducible to Hidden Subgroup fo…
Virtual Extension of Temperley--Lieb Algebra
Yong Zhang, Louis H. Kauffman, Mo-Lin Ge
The virtual knot theory is a new interesting subject in the recent study of low dimensional topology. In this paper, we explore the algebraic structure underlying the virtual braid…
Teleportation, Braid Group and Temperley--Lieb Algebra
Yong Zhang
We explore algebraic and topological structures underlying the quantum teleportation phenomena by applying the braid group and Temperley--Lieb algebra. We realize the braid telepor…
Permutation and Its Partial Transpose
Yong Zhang, Louis H. Kauffman, Reinhard F. Werner
Permutation and its partial transpose play important roles in quantum information theory. The Werner state is recognized as a rational solution of the Yang--Baxter equation, and th…
Braid Group, Temperley--Lieb Algebra, and Quantum Information and Computation
Yong Zhang
In this paper, we explore algebraic structures and low dimensional topology underlying quantum information and computation. We revisit quantum teleportation from the perspective of…