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Modern Physics Letters B

TELEPORTATION AND CONTROLLED TELEPORTATION WITH MAXIMALLY FOUR-QUBIT ENTANGLEMENT QUANTUM STATES

Xin-Wei Zha, Haiyang Song

Published Jul 29, 2010• 6 citations
Publisher

Abstract

Recently Paolo Facchi et al.15 presented a maximally multipartite entangled state (MMES). It is shown that some of these states can be utilized for perfect teleportation of arbitrary two-qubit systems and controlled teleportation of an arbitrary one-qubit state. Furthermore, the optimal match measuring basis are given by transformation operator for controlled teleportation.

DOI
10.1142/s0217984910024444

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Recently Paolo Facchi et al.15 presented a maximally multipartite entangled state (MMES). It is shown that some of these states can be utilized for perfect teleportation of arbitrary two-qubit systems and controlled teleportation of an arbitrary one-qubit state. Furthermore, the optimal match measuring basis are given by transformation operator for controlled teleportation.
Recently, Paolo Facchi et al. [Phys. Rev. A. 77, 060304 (R) (2008)] introduced the notion of maximally multipartite entangled states of n qubits. Here, we give a criterion for faithful controlled teleportation of an arbitrary two-qubit state via a five-qubit entangled state and obtain the general relation between the genuine five-qubit entangled state and controlled teleportation. This criterion can be extended to teleportation of an arbitrary N-qubit state using 2N+1-qubit entangled state. Furthermore, we study the optimal match of measuring basis and quantum channel.
It is shown that a maximally seven-qubit state can be utilized for perfect teleportation of arbitrary three qubit systems and controlled teleportation of an arbitrary three qubit state. For perfect teleportation, the sender first performs a Von-Neumann measurement on her qubits, then the sender(Alice) tells the measurement result to the receiver(Bob) via a classical channel, the receiver can reconstruct the original state by performing appropriate unitary transformations on his qubits at hand. For controlled teleportation, the sender firstly carries out proper Bell-state measurements and the controller(charlie) needs to operate a single-qubit measurement, the receiver can reconstruct the original state by applying appropriate unitary transformations on his qubits after he knows the measurement results of both the sender and controller. Besides, the two teleportation schemes can be realized with the maximal probability.