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Journal of Physics Conference Series

Controlled quantum teleportation on the three control pattern via five-qubit cluster state

Rafika Rahmawati, Agus Purwanto

Published Mar 1, 2019• 1 citation
Publisher

Abstract

We proposed a new scheme of controlled teleportation to transmit the arbitrary one qubit state information via five-qubit cluster state channel. The transmission of quantum information from Alice (A) to Charli (C) had been controlled by Bob (B). The distribution of local measurements on Alice's, Bob's and Charli's qubit studied at three patterns; there are AAABC, ABABC, and ABBBC. The important results of this research are the observed differences in output variation and the efficiency of sending arbitrary one qubit information to the control pattern on Bob's Particle via five-qubit cluster state channel.

DOI
10.1088/1742-6596/1170/1/012024

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We proposed a new scheme of controlled teleportation to transmit the arbitrary one qubit state information via five-qubit cluster state channel. The transmission of quantum information from Alice (A) to Charli (C) had been controlled by Bob (B). The distribution of local measurements on Alice's, Bob's and Charli's qubit studied at three patterns; there are AAABC, ABABC, and ABBBC. The important results of this research are the observed differences in output variation and the efficiency of sending arbitrary one qubit information to the control pattern on Bob's Particle via five-qubit cluster state channel.
Controlled quantum teleportation involves a third party as a controller for the teleportation of state. Here, we present the novel protocols for controlling teleportation of the arbitrary two-qubit and three-qubit states through five-qubit and seven-qubit cluster states respectively. In these schemes, Alice sends the arbitrary qubit states to the remote receiver Bob through the cluster states as quantum channels under the control of Charlie. Bob can recover the mentioned states by making appropriate unitary operations, and we point out that the efficiency in our schemes is 100%. In the process of our analysis, we find the classical communication cost in our protocols is remarkably reduced when compared to the previous protocols. We perform the experimental realization of the above protocols on "IBM 16 Melbourne" quantum computer and "IBM quantum simulator" and we calculate the fidelity. We also examine the security analysis against Charlie, and these schemes which we considered here are secure against Charlie's attacks.
A new application of the five-qubit cluster state is investigated for economic and simple controlled teleportation of an arbitrary two-qubit state.In this scheme,a five-qubit cluster state is shared by a sender(Alice),a controller(Charlie)and a receiver(Bob),and the sender only needs to perform Bell-state measurements and the controller performs a single-qubit projective measurement.The receiver can reconstruct the arbitrary two-qubit state by performing some appropriate unitary transformations on his qubits after he knows the measured results of both the sender and the controller.This controlled teleportation scheme is deterministic,and the probability of successful controlled teleportation is 100%.In comparison with the controlled teleportation scheme using the same quantum channel,the proposed scheme do not need to make multi-particle joint measurement that makes this scheme simpler.
Based on the strong persistency of entanglement of cluster state,two quantum sharing schemes were presented to realize the controlled teleportation of an arbitrarily one-particle using a four-particle cluster state as the quantum channel.In the first scheme,the sender Alice,controller Charlie and receiver Bob share a four-particle cluster entangled state.Firstly Alice performs a three-particle joint VonNeumann measurement on her qubits.Then Charlie performs a quantum measurement on his qubit with Z basis.Finally Bob can reconstruct the shared single particle by doing unitary transformation according to the measured results from Charlie and Bob.In the second scheme,three parties also shared a four-particle cluster state and an auxiliary particle,Alice and Charlie only need Bell state measurements and Bob can get the transmitted state by performing a swap bit flip operation and one unitary transformation.Compared with the existing schemes,the success probability of these both schemes are 100% and the proposed schemes only need 4-particle cluster state as the quantum channel.Furthermore,the proposed schemes can be implemented under the current laboratory techniques.
We present a controlled quantum teleportation protocol. In the protocol, quantum information of an unknown state of a 2-level particle is faithfully transmitted from a sender Alice to a remote receiver Bob via an initially shared triplet of entangled particles under the control of the supervisor Charlie. The distributed entangled particles shared by Alice, Bob and Charlie function as a quantum information channel for faithful transmission. We also propose a controlled and secure direct communication scheme by means of this teleportation. After ensuring the security of the quantum channel, Alice encodes the secret message directly on a sequence of particle states and transmits them to Bob supervised by Charlie using this controlled quantum teleportation. Bob can read out the encoded message directly by the measurement on his qubit. In this scheme, the controlled quantum teleportation transmits Alice's message without revealing any information to a potential eavesdropper. Because there is not a transmission of the qubit carrying the secret message between Alice and Bob in the public channel, it is completely secure for controlled and direct secret communication if perfect quantum channel is used. The special feature of this scheme is that the communication between two sides depends on the agreement of a third side to co-operate.
Abstract A quantum channel using two four-qubit cluster states was constructed and the controllable quantum teleportation of an unknown four-qubit W state via this channel was investigated. After three Bell-basis measurements, a Hadamard operation, and two single-qubit projective measurements of the sender Alice and controller Charlie, the recorded measurement results are sent to the receiver Bob via a classical channel. Bob then performs the associated unitary transformation based on the received classical information, after which the unknown four-qubit W state can be teleported with success probability 100%.