The transformation operator of the quantum state and probabilistic teleportation

Abstract

Utilizing the construction of a diagonal projection transformation matrix, a scheme for probabilistic teleportation of an arbitrary n-qudit state is provided via partially entangled states. In addition, we investigate that the total system of particles can be expanded by Bell bases and transformation operators. Not only are the relations between transformation operators and the unitary matrixes performed by the receiver are generalized with a concise formula, but also the diagonal projection transformations. Taking the teleportation of an unknown three-qutrit state as example, it is discussed in great detail.