Taotao Hu

Quantum teleportation and dense coding via topological basis

By means of Temperley–Lieb Algebra and topological basis, we make a new realization of topological basis, and get sixteen complete orthonormal topological basis states which are all maximally entangled for four quasi-particles. Then we present an explicit protocol for teleporting an arbitrary two-qubit state via a topological basis entanglement channel. We also show that four bits of classical information can be encoded into a topological basis state by two-particle unitary operations.

Temperley---Lieb algebra, Yang-Baxterization and universal gate

A method of constructing n2 × n2 matrix realization of Temperley–Lieb algebras is presented. The single loop of these realizations are

The sudden death of entanglement in constructed Yang---Baxter systems

{d=\sqrt{n}}

\check{R}

. In particular, a 9 × 9-matrix realization with single loop

Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain

{d=\sqrt{3}}

The topological basis expression of Heisenberg spin chain

is discussed. A unitary Yang–Baxter