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arXiv:0904.2029

Probabilistic teleportation via a non-maximally entangled GHZ state

Yan Feng-Li, Tao Yan

Published Apr 13, 2009• 0 citations
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Abstract

We present a scheme for probabilistic teleportation via a non-maximally entangled GHZ state. Quantum teleportation will succeed with a certain probability if the sender makes a generalized Bell state measurement, the cooperator performs a generalized $X$ basis measurement, and the receiver introduces an auxiliary particle, performs a collective unitary transformation and makes a measurement on the auxiliary particle. The success probability of the teleportation is given. We also obtain the maximum of the success probability of the teleportation.

DOI
10.48550/arxiv.0904.2029

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A scheme for teleporting an unknown three-particle GHZ state from a sender to either one of two receivers through a non-maximally three-particle entangled GHZ state as quantum channel is proposed.An unknown three-particle entangled state can be perfectly teleported probabilistically if the sender performs a generalized Bell-state measurement and the Hadamard operations while either one of two receivers introduces two additional particles,performs the controlled-not(C-not) operations and introduces an appropriate unitary transformation with the help of the other receiver's the Hadamard operation and simple measurement.The present scheme may be directly generalized to teleport an unknown k-particle GHZ state from a sender to either one of two receivers by using a partial entangled three-particle GHZ state as the quantum channel,introducing(k-1) additional qubits and performing(k-1) C-not operations.
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Two-qubit quantum teleportation is closely related to quantum computation,so a teleportation protocol in which an arbitrary bipartite quantum state is perfectly teleported probabilistically from sender to receiver is proposed. One of 16 generalized non-maximally entangled Bell states (G states for simplicity) functions as quantum channel. The teleportation can be successfully realized with a certain probability if sender performs generalized Bell state measurements (G measurements) and receiver introduces an auxiliary particle and operates appropriate unitary transformations and single-qubit measurements. The probability of successful teleportation is determined by the smallest one among the coefficients' absolute values of the quantum channel.