The states of W-class as shared resources for perfect teleportation and superdense coding

Abstract

As we know, the states of triqubit systems have two important classes: GHZ-class and W-class. In this paper, the states of W-class are considered for teleportation and superdense coding, and are generalized to multi-particle systems. First we describe two transformations of the shared resources for teleportation and superdense coding, which allow many new protocols from some known ones for that. As an application of these transformations, we obtain a sufficient and necessary condition for a state of W-class being suitable for perfect teleportation and superdense coding. As another application, we find that state $|W{>}_{123}=1/2(|100{>}_{123}+|010{>}_{123}+\sqrt{2}|001{>}_{123})$ can be used to transmit three classical bits by sending two qubits, which was considered to be impossible by P. Agrawal and A. Pati [Phys. Rev. A to be published]. We generalize the states of W-class to multi-qubit systems and multi-particle systems with higher dimension. We propose two protocols for teleportation and superdense coding by using W-states of multi-qubit systems that generalize the protocols by using $|W{>}_{123}$ proposed by P. Agrawal and A. Pati. We obtain an optimal way to partition some W-states of multi-qubit systems into two subsystems, such that the entanglement between them achieves maximum value.

10 pages, critical comments and suggestions are welcome

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• Generation of entangled channels for perfect teleportation channels using multi-electron quantum dots
• One-photon Solutions to Multiqubit Multimode quantum Rabi model
• Optimal distillation of three-qubit W states
• Simultaneous Dense Coding
• Unified generation and fast emission of arbitrary single-photon multimode $W$ states
• Secure $N$-dimensional Simultaneous Dense Coding and Applications
• Dynamical pairwise entanglement and two-point correlations in the three-ligand spin-star structure
• Optimal reducibility of all Stochastic Local Operation and Classical Communication equivalent W states
• Bi-directional quantum teleportation of GHZ-like states
• Generalised monogamy relation of convex-roof extended negativity in multi-level systems
• Dike states in multiple quantum dots
• Generation and entanglement study of generalized N-mode single photon perfect W-states
• Study of controlled dense coding with some discrete tripartite and quadripartite states
• Generation of two-photon EPR and Wstates
• Fusion of atomic W-like states in cavity QED systems
• Operational criterion for controlled dense coding with non-trivial tripartite entangled states
• The Role of Localizable Concurrence in Quantum Teleportation Protocols
• The necessary and sufficient condition for perfect teleportation and superdense coding and all the suitable states for teleportation and superdense coding