Chunfang Sun

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.

The topological basis realization and the corresponding XXX spin chain

In this paper, it is shown that the XXX model can be constructed from the Temperley-Lieb algebra (TLA) generator. We find that the topological basis states are the two eigenstaes of a closed four-qubit Heisenberg XXX spin chain. Specifically, the spin single states and the energy single state of the system all fall on the topological basis states. It is worth mentioning that for the closed 2N-qubit (N=2, 3, 4, ...) Heisenberg XXX spin chain, all the topological basis states for 2N particles are the spin single states of the system. And the number of the topological basis states is equal to the number of the spin single states of the system, which is .

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

Non-adiabatic holonomic quantum computation in linear system-bath coupling.

{d=\sqrt{3}}