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AIP conference proceedings

Quantum teleportation of two types of three-qubit states via the W class states

I Nengah Artawan, Agus Purwanto

Published Jan 1, 2019• 1 citation
Publisher

Abstract

We propose a quantum teleportation protocol to transmit two types of three-qubit states in the form of both specific three-qubit unentangled states and three-qubit entangled states_by using twofold of three-qubit W class states with Bob’s ancillary particle. This paper shows that Bob’s unitary transformation is performed in two steps. Firstly, we utilize two unitary operations into Bob’s particle. Lastly, a unitary transformation is applied to reconstruct Bob’s information. Both the success probability and fidelity of the protocol can attain the values of one.

DOI
10.1063/1.5141739

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We propose a quantum teleportation protocol to transmit two types of three-qubit states in the form of both specific three-qubit unentangled states and three-qubit entangled states_by using twofold of three-qubit W class states with Bob’s ancillary particle. This paper shows that Bob’s unitary transformation is performed in two steps. Firstly, we utilize two unitary operations into Bob’s particle. Lastly, a unitary transformation is applied to reconstruct Bob’s information. Both the success probability and fidelity of the protocol can attain the values of one.
A scheme for teleporting an arbitrary and unknown three-particle state from a sender to either one of two receivers through a three-particle entangled GHZ state and two two-particle entangled states as quantum channel is proposed. Firstly,the maximally entangled states are taken as quantum channels,then,the case of non-maximally entangled channels is considered.When the channels are non-maximally entangled states,by introducing an ancillary qubit and constructing an unitary transformation properly,teleportation of an arbitrary three-particle state can be implemented with the probability of 8｜bdf｜~2.
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.
A scheme of teleportation of an arbitrary three-qubit state is presented by using the generalized Bell-basis measurement and the Non-Bell-Pair quantum channel.Teleportation can be perfectly realized if Alice makes Bell-state measurement on her particles and Bob carries out appropriate unitary transformation(Toffoli transformation)on his particle.The unknown three-particle entangled state can be teleported perfectly,and the successful possibilities and fidelities of the two schemes both reach unity.Based on the transformation operator,the collapses states can easily obtained and Bob's unitary transformation can also easily given.
We propose a quantum teleportation scheme for transmitting a single qutrit state by adopting a 2-qudit entangled state as the quantum channel. The measurement basis for Alice has been carefully and systematically constructed, which is essential for the successful implementation of the teleportation protocol. Based on Alice's measurement outcomes, we design the corresponding collective unitary transformations to be performed by Bob on an auxiliary qubit and information particle. After implementing the collective unitary transformation, Bob performs a von Neumann measurement on the auxiliary qubit. The single qutrit state is then teleported to the distant receiver Bob with a finite success probability. We obtain the achievable success probabilities of the proposed teleportation scheme for different quantum channels. The obtained results not only enrich the theory of quantum teleportation over high-dimensional entangled channels but also provide a novel and feasible approach to implementing qutrit teleportation.