Search

We introduce a concept of local unitary (LU) transformation invariant operators which permits us to easily obtain arbitrary multi-qubit states LU transformation invariant. The general relation between the LU transformation invariant and perfect quantum teleportation is examined. The optimal match of measurement basis is given.

Recently Paolo Facchi et al.15 presented a maximally multipartite entangled state (MMES). It is shown that some of these states can be utilized for perfect teleportation of arbitrary two-qubit systems and controlled teleportation of an arbitrary one-qubit state. Furthermore, the optimal match measuring basis are given by transformation operator for controlled teleportation.

By a transformation operator, we find that the transformation operator is not related to the unknown N-particle state. Here, we propose a multi-scheme for the teleportation of an arbitrary and unknown N-particle state by using the method of transformation operator. The proper transformation operator depends on the quantum channel and the measurement basis. The theoretical explanations of some quantum channels are given by transformation operators. Furthermore, we give the analysis for teleporting an arbitrary and unknown N-particle state.

We report molecular dynamics studies of single-walled carbon nanotubes (SWCNT) as a bandage to connect separated SWCNTs for getting structures of random length. The mechanical properties of the connected SWCNT strands with different joint length under axial loads are investigated using the classical molecular dynamics simulations method. The interaction between atoms is modeled using the second-generation of reactive empirical bond-order (REBO) potential coupled with the Lennard–Jones (L–J) potential. The mechanical properties, such as Young's modulus, tensile strength, critical buckling strains and critical buckling loads are determined and presented for SWCNT and connected SWCNT strands. The results indicates that the joints made in this way have relatively high mechanical properties corresponding to that of the ideal SWCNTs.

Two forms of the three-qubit pure state for teleporting an unknown one-particle entangled state are presented, where the successful possibilities and fidelities of the two schemes both reach one unit. It is worthwhile noticing that GHZ states and W-states are special cases of those two forms of a perfect quantum channel. Furthermore, the orthogonal complete measurement bases are given.