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Two Phase Communication Protocol of a Two Qubit States using Concatenated GHZ States

Arpan Dhara

Published Mar 15, 2025• 0 citations
Publisher

Abstract

Abstract: In this paper we introduce a new communication (teleportation) protocol for transferring arbitrary two qubits by using concatenated three particle entangled states as quantum channels which are robust in noisy environments. Due to almost inevitable existence of noise, which can create devastation in the communication systems, such robust quantum channels become necessary. The protocol is a perfect teleportation protocol. An advantage of the process is that only one fourth of the measurement basis elements of the sender appear in the protocol.

DOI
10.5281/zenodo.18223348

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Abstract: In this paper we introduce a new communication (teleportation) protocol for transferring arbitrary two qubits by using concatenated three particle entangled states as quantum channels which are robust in noisy environments. Due to almost inevitable existence of noise, which can create devastation in the communication systems, such robust quantum channels become necessary. The protocol is a perfect teleportation protocol. An advantage of the process is that only one fourth of the measurement basis elements of the sender appear in the protocol.
The quantum teleportation is an emerging communication technology based on the principles of quantum mechanics. It utilizes the properties of quantum entanglement and quantum superposition to achieve secure transmission of information. Most of the current quantum teleportation protocols are analyzed under ideal environment, and merely realized the transmission of either single or two particle unknown quantum states between two participants. In this paper, by using eleven entangled quantum states as a quantum channel, we propose a cyclic and asymmetric novel protocol for four participants. The communication task is achieved by employing GHZ state measurement (GHZ), single-qubit measurement (SM), and unitary operations (UO) as the foundation of this protocol. Analysis demonstrates that the success probability of the proposed protocol can reach 100%. Furthermore, considering that in actual production environments, it is difficult to avoid the occurrence of noise in quantum channels, this paper also analyzes the changes in fidelity in two types of noisy scenarios: bit-flip noise, phase-flip noise. Showing that communication quality only depends on the amplitude parameters of the initial state and decoherence rate. Finally, we give a comparison with previous similar schemes in terms of achieved method and intrinsic efficiency, which illustrates the superiority of our protocol.
We present a scheme for teleporting an unknown arbitrary two-particle state from a sender to either one of two receivers. The quantum channel is composed of two partial entangled three-particle GHZ states. An unknown arbitrary two-particle state can be perfectly teleported probabilistically if the sender performs two generalized Bell-state measurements and each receiver introduces an appropriate unitary transformation with the help of the other receiver's Hadamard operations and simple measurements.
In this paper, we consider a multi-hop teleportation protocol for transfer of certain five-qubit entangled states. The speciality of this protocol is that intermediate nodes between the sender and the receiver are introduced. Teleportation processes over long distances are problematic because of the existence of the environmental noise which is almost unavoidable and adversely affects the entangled quantum channel. With a view to the above, intermediate nodes are introduced which are connected in series by entanglement. These short range quantum channels minimize the risk of the protocol being affected by noise. The present protocol is performed in an integrated manner in which the parties in the intermediate nodes act independently. A remarkable feature of the protocol is that only 3.13% of the basis elements are involved in the measurements. We also calculate the efficiency and indicate the advantages of the present protocol. The work is in the direction of research for transferring entangled quantum states.
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.
In this paper, by using eleven entangled quantum states as a quantum channel, we propose a cyclic and asymmetric novel protocol for four participants in which both Alice and Bob can transmit two-qubit states, and Charlie can transmit three-qubit states with the assistance of the supervisor David, who provides a guarantee for communication security. This protocol is based on GHZ state measurement (GHZ), single-qubit measurement (SM), and unitary operations (UO) to implement the communication task. The analysis demonstrates that the success probability of the proposed protocol can reach 100%. Furthermore, considering that in actual production environments, it is difficult to avoid the occurrence of noise in quantum channels, this paper also analyzes the changes in fidelity in four types of noisy scenarios: bit-flip noise, phase-flip noise, bit-phase-flip noise, and depolarizing noise. Showing that communication quality only depends on the amplitude parameters of the initial state and decoherence rate. Additionally, we give a comparison with previous similar schemes in terms of achieved method and intrinsic efficiency, which illustrates the superiority of our protocol. Finally, in response to the vulnerability of quantum channels to external attacks, a security analysis was conducted, and corresponding defensive measures were proposed.
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.