Representation Of Devising Quantum Information Experiments In Operator

Quantum Information coming from Quantum mechanics and Informatics, recent years has been the focus of physics. In which, since 20s years ago, companied with improvement of Quantum optics and Laser communications, Quantum communications experiments using single photon and fiber have been paid much attention to by scientists, and got success firstly. Now it has taken on the unlimited future of improvement and usage.Quantum state is the carrier of quantum information. So essentially the chief aim of research in quantum information is to prepare, to manipulate, to measure a quantum state. From the viewpoint of quantum optics, the especial character of photon is just suitable to experiments of quantum communications. For instance, Cryptography, Teleportation, Swapping, Purification, and dense coding are all utilize subtly optics basic components, such as BS, PBS, wave plate and polarimeters. They have become basic unitary transforms. To concisely describe them will help us to analyse and master experiments more exactly. On the bases ofqubit of single photon's polarization states, we defined lowering and raising operator of single photon's two polarization states, and used |u>,|d) to express polarization states H and V. With the help of the theoryof linear transformation of lowering and raising operator in Fock space, we studied BS, PBS, wave plate and H transformation. We expressed the their function to qubit as multinomial of operator, and changed complex operation of matrix to algebra operation of multinomial. On the base of this, we obtained a new representation of experiment, and looked it as a series of production of transformation. So we can study some quantum communications experiment, e.g. Teleportation, from a new aspect. Using the new representation, we can analyse the probability of photons output states. To do this, we try to find a new method to devise experiments much efficiently.