The Generation Of Four-qubit Cluster States And Probabilistic Teleportation Of Two-Particle State Of General Formation In Ion Trap

Quantum information is a new subject that is a combination of quantum mechanics, information science and computer science. Quantum information will inaugurate a new way for the development of information science. In addition, it is helpful for the research on basic problems of quantum mechanics itself.In this text, we review the foundation of quantum mechanics and quantum information。It contains the relation of quantum mechanics and some other subjects, principle of quantum superposition and coherence, no-cloning theorem, entanglement state, quantum gate and quantum line, the basic knowledge of quantum computer, etc.We introduce a class of highly entangled multiqubit—Cluster states. Recently, many papers are concentrating on how to implement Cluster states. In this text, we present a scheme for the generation of four-qubit Cluster states by unitary evolution. We search a suitable unitary matrix and decompose it to many two-level unitary matrixes. Using Gray code we can gain the unitary matrix via single qubit and C-NOT gates only. Making it on the initial state and through local transformation, we can generate the four-qubit Cluster states.Along with the development of science and technology, there are many physical realizations of the quantum computer. Because of distinctive characteristics, ion trap programmer is the research focus in recent years. Quantum teleportation is an important part of quantum information. In practice, because of the inevitable interact between the quantum state and the surrounding environment, entangled state in the course of preparation and preservation easily trigger decoherence. The transmission medium is usually difficult to maintain maximum entanglement; therefore, research partially entangled states as the quantum channel has great practical significance. A scheme for probabilistic teleportation an unknown two-particle state, where two partially entangled states are used as the quantum channel is presented in the ion trap, through selecting appropriate laser frequency, radiation angle, pulse duration, and by two times phonon detection. The total maximal probability has been calculated. If one uses the maximal entangled state as the quantum channel, the total probability of successful teleportation equals 1.