3 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
Hopf Algebraic Structures in the Cutting Rules
Yong Zhang
Since the Connes--Kreimer Hopf algebra was proposed, revisiting present quantum field theory has become meaningful and important from algebraic points. In this paper, the Hopf alge…
Quantum algorithms for a set of group theoretic problems
Stephen Fenner, Yong Zhang
We study two group theoretic problems, GROUP INTERSECTION and DOUBLE COSET MEMBERSHIP, in the setting of black-box groups, where DOUBLE COSET MEMBERSHIP generalizes a set of proble…
Quantum Lower Bounds for Fanout
Maosen Fang, Stephen Fenner, Frederic Green +2
We prove several new lower bounds for constant depth quantum circuits. The main result is that parity (and hence fanout) requires log depth circuits, when the circuits are composed…