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Communications in Theoretical Physics

Probabilistic Controlled Teleportation of an Arbitrary Three-Qubit State

Zha Xin-wei

Published Sep 1, 2008• 5 citations
Publisher

Abstract

Recently Jiang et al. [Chin. Phys. Lett. 24 (2007) 1144] gave a scheme for probabilistic controlled teleportation of a triplet W state from the sender Alice to the distant receiver Bob. The m controlled qubits are shared by m(s 1 , s 2 , ..., s m ) spatially-separated supervisors. Based on transformation operator, we can extend to teleporting an arbitrary three-qubit state. The relation between the transformation operators and the Bob's unitary transformation is also obtained.

DOI
10.1088/0253-6102/50/3/21

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Recently Jiang et al. [Chin. Phys. Lett. 24 (2007) 1144] gave a scheme for probabilistic controlled teleportation of a triplet W state from the sender Alice to the distant receiver Bob. The m controlled qubits are shared by m(s 1 , s 2 , ..., s m ) spatially-separated supervisors. Based on transformation operator, we can extend to teleporting an arbitrary three-qubit state. The relation between the transformation operators and the Bob's unitary transformation is also obtained.
A scheme for probabilistic controlled teleportation of a triplet W state from the sender Alice to the distant receiver Bob is proposed. In this scheme, an m -qubit GHZ state serves as the control parameter. The m control qubits are shared by m ( s 1 , s 2 . . . s m ) spatially-separated supervisors. With the aid of local operations and individual measurements, including Bell-state measurement, Von Neumann measurement, and mutual classical communication, etc., Bob can faithfully reconstruct the original state by performing relevant unitary transformations. However, even if one participant does not cooperate during the process, the receiver Bob cannot fully recover the original state. This protocol can be extended to probabilistic controlled teleportation of an arbitrary N -qubit state and some other N -qubit entangled states.
A scheme is presented to probabilistically controlled teleport an arbitrary triplet W state using three pair maximally entangled triplet W state as the quantum channel. During the teleportation procedure, the controller performs Von Neumann measurements on his particles, the sender makes orthogonal basis measurements, instead of using Bell-state measurements, and the receiver can faithfully reconstruct the original state by performing relevant unitary transformations. The total probability of successful teleportation can be improved to 20/27. unitary transformation
A scheme for controlled teleportation of an unknown N -qubit entangled GHZ state from the sender Alice to the distant receiver Bob is proposed. And m -qubit GHZ state is sufficient for the task of control by m spatially-separated supervisors. Conditioned on the local operations executed by all participants, Bob can faithfully restore the original state by performing relevant unitary transformations with the aid of some classical message about measurement results. Anyone's absence will absolutely lead to the failure of teleportation.
A scheme for teleporting an arbitrary and unknown three-particle state from a sender to either one of two receivers is proposed. The quantum channel is composed of a two-particle non-maximally entangled state and two three-particle non-maximally entangled W states. An arbitrary three-particle state can be perfectly teleported probabilistically if the sender performs three generalized Bell-state measurements and sends to the two receivers the classical result of these measurements and either one of the two receivers adopts an appropriate unitary transformation conditioned on the suitable measurement outcomes of the other receiver. All kinds of unitary transformations are given in detail.