Universal Quantum Gate, Yang--Baxterization and Hamiltonian

Abstract

It is fundamental to view unitary braiding operators describing topological entanglements as universal quantum gates for quantum computation. This paper derives a unitary solution of the Quantum Yang--Baxter equation via Yang--Baxterization and constructs the Hamiltonian responsible for the time-evolution of the unitary braiding operator.

v1, 11 pages; v2, 11 pages; v3, 12 pages, additional comments; v4, 10 pages; v5, published version