Efficiency criterion for teleportation via channel matrix, measurement matrix and collapsed matrix

Abstract

In this paper, three kinds of coefficient matrixes (channel matrix, measurement matrix, collapsed matrix) associated with the pure state for teleportation are presented, the general relation among channel matrix, measurement matrix and collapsed matrix is obtained. In addition, a criterion for judging whether a state can be teleported successfully is given, depending on the relation between the number of parameter of an unknown state and the rank of the collapsed matrix. Keywords: Channel matrix, Measurement matrix, Collapsed matrix, Teleportation