Probabilistic Teleportation of a Four-Particle Entangled W State

In this paper, two schemes for teleporting an unknown four-particle entangled W state is proposed. In the first scheme, two partial entangled four-particle states are used as quantum channels, while in the second scheme,four non-maximally entangled particle pairs are considered as quantum channels. It is shown that the teleportation can be successfully realized with certain probability, for both schemes, if a receiver adopts some appropriate unitary transformations. It is also shown that the successful probabilities of these two schemes are different.

Remote State Preparation of a Greenberger-Horne-Zeilinger Class State

In this paper, we propose a scheme for the remote preparation of a three-particle Greenberger-HorneZeilinger class state by a two-particle entangled state and a three-particle entangled state. It is shown that, by this scheme, only two classical bits and one two-particle projective measurement are enough for such preparation.

Multi-mode Einstein-Podolsky-Rosen Entangled State Representation and Its Applications

Our primary purpose of this work is to explicitly construct the general multipartite Einstein Podolsky-Rosen (EPR) entangled state in muIti-mode Fock space for a system with different masses of particles,which makes up anew quantum mechanical representation owing to completeness relation and orthogonal property.Its entanglement canbe seen more clearly by analyzing its standard Schmidt decomposition.In addition,some applications of the multipartiteentanglement are proposed including deriving the generalized Wigner operator and squeezing operator.

Preparation of a New Type of Multiqubit Entangled States in Cavity QED

Recently Yang,Chu,and Han [Phys.Rev.A 70 (2004) 022329] presented a new type of multipartiteentangled states for implementing efficient many-party controlled teleportation of multiqubit quantum information.Herewe propose a simple scheme for preparing such a type of multi-atom entangled states in cavity quantum electrodynamics(QED).The scheme involves atom-cavity interaction with large detuning,and is immune to the cavity decay and thethermal field states.Some practical analyses show its availability with the present technology.

A Generalized Hankel Transformation Derived by Parametrized Entangled State Representations

Using the parametrized entangled state representations we have found a generalized Hankel transformationwith the integral kernel being a combination of Bessel functions.This generalized Hankel transformation corresponds tothe appropriate quantum mechanical representation transformation.

Angular Momentum Phase State Representation for Quantum Pendulum

To consummate the quantum pendulum theory whose Hamiltonian takes bosonic operator formalism and manifestly exhibits its dynamic behaviour in the entangled state representation, we introduce angular momentum state representation and phase state representation. It turns out that the angular momentum state is the partial wave expansion of the entangled state.

State-Independent Proofs of Bell＇s Theorem Without Inequalities and Bell Inequality for Four-Qubit System

A state-dependent proof of Bell's theorem without inequalities using the product state of any two maximally entangled states (Bell states) of two qubits for two observers in an ideal condition, each of which possesses two qubits,is proposed. It is different from the other proofs in which there exists a fundamental requirement that certain specific suitable Bell states have been chosen. Moreover, in any non-ideal situation, a common Bell inequality independent of the choices of the 16-product states is derived, which is used to test the contradiction between quantum mechanics and local reality theory in the reach of current experimental technology.