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arXiv:2410.03709

Symmetric-Cyclic Bidirectional Quantum Teleportation of Bell-like State via Entanglement-Swapping

Nikhita Singh, Ravi Shankar Singh

Published Sep 26, 2024• 0 citations
arXivHTMLPDF

Abstract

Quantum teleportation is a primitive foundational protocol for exchanging quantum information in a quantum network as well as infrastructural operational strategy in the measurement-based quantum computation. Designing an efficient scheme for quantum teleportation is a vibrant field of intensive research. We propose a scheme wherein Bell-like states are being exchanged simultaneously in cyclic sequence, i.e., symmetric-cyclic bi-directional quantum teleportation, amongst three communicating parties forming a quantum network, Alice, Bob and Charlie via entanglement-swapping with the aid of a cluster of three maximally entangled GHZ-states as the quantum channel. Moreover, based upon communication- and operation- complexity, we compare our protocol with other equivalent protocols and found that the intrinsic efficiency of our protocol is maximum pegging at 33.33%.

DOI
10.48550/arxiv.2410.03709

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Quantum teleportation is a primitive foundational protocol for exchanging quantum information in a quantum network as well as infrastructural operational strategy in the measurement-based quantum computation. Designing an efficient scheme for quantum teleportation is a vibrant field of intensive research. We propose a scheme wherein Bell-like states are being exchanged simultaneously in cyclic sequence, i.e., symmetric-cyclic bi-directional quantum teleportation, amongst three communicating parties forming a quantum network, Alice, Bob and Charlie via entanglement-swapping with the aid of a cluster of three maximally entangled GHZ-states as the quantum channel. Moreover, based upon communication- and operation- complexity, we compare our protocol with other equivalent protocols and found that the intrinsic efficiency of our protocol is maximum pegging at 33.33%.
In this paper, two three-party cyclic teleportation schemes for real arbitrary quantum states of a single particle and two particles are proposed for the first time. In the first ([Formula: see text]) scheme, Alice sends any single particle state to Bob, Bob sends any two-particle states to Charlie, and meanwhile Charlie sends any single particle state to Alice. In the second ([Formula: see text]) scheme, with the help of the controller David, Alice sends any two-particle states to Bob, Bob sends any two-particle states to Charlie, and Charlie sends any single particle state to Alice simultaneously. Based on the maximum entangled quantum channel shared in advance, the communication participants carry out some Bell state measurement (BSM) measurements and carry out corresponding unitary transformation according to the results published by each other. After that, the cyclic teleportation of predetermined quantum information can be successfully realized. The success probability of teleportation of both schemes can reach 100%. Finally, this paper briefly analyzes the security of the two schemes and compares them with some previously published schemes from the perspective of inherent efficiency. The results show that the two schemes proposed in this paper are safe and have high inherent efficiency. Different from the previous symmetric cyclic quantum teleportation methods, the asymmetric cyclic quantum teleportation schemes proposed in this paper are more universal.
Abstract This paper proposes a symmetric bidirectional quantum teleportation protocol through an eight-qubit cluster state as a quantum channel to achieve GHZ state interchange between two parties. Alice and Bob must first perform two CNOT gate operations on the unknown GHZ state to be sent in our scheme. Next, they need to complete the Bell state measurements and the corresponding unitary operations to obtain the corresponding GHZ state. Our protocol has lower operational complexity and higher inherent efficiency compared to other protocols. In addition, we have simulated the quantum circuit on the IBM qasm simulator to verify the feasibility of the protocol.
In the existing research on cyclic teleportation protocols, it is generally discussed that the teleportation of single particle, two particle unknown quantum states with symmetrical structure or asymmetric special unknown quantum states (such as GHZ state) with three or four participants. In contrast, the scheme proposed in this paper has universality and stronger practicability. In this paper, we propose a novel scheme of asymmetric cyclic controlled teleportation. In our scheme, Alice can teleport an arbitrary single-qubit entangled state to Charlie, Charlie can teleport an arbitrary three-qubit entangled state to Bob and at the same time Bob can teleport an arbitrary two-qubit entangled state to Alice under the control of a controller David. It only needs Bell measurement and local unitary operation, and can realize three-party cyclic transmission with probability 1 by using a quantum channel composed of any six of the 16 G states.
Abstract This work presents a three-party cyclic quantum teleportation protocol realized through a nine-qubit resource state. In this framework, Alice, Bob, and Charlie simultaneously exchange their respective unknown two-qubit entangled states in a closed-loop configuration using local Bell-state measurements and single-qubit operations with each participant acting as both sender and receiver. We show that the direction of information transfer can be reversed by suitably reallocating the channel qubits among the users, without needing to change the channel state altogether. The scheme is further generalized to an N -party network, enabling cyclic exchange of quantum information through a suitably extended channel. We further demonstrate the practical viability by implementing the proposed nine-qubit quantum channel on a real quantum processor, allowing characterization of its behaviour under realistic hardware noise. The protocol was simulated incorporating five standard noise models were performed to study the teleportation fidelity as a function of both the noise strength and the input-state amplitudes, revealing a clear dependence on initial-state parameters and decoherence rates. Finally, the intrinsic efficiency of the protocol was evaluated and found to surpass that of existing approaches, highlighting its promise for scalable multi-party quantum communication networks.
Quantum teleportation is considered as the most basic process of quantum communication. It is undoubtedly beneficial for the realization of quantum teleportation while transmitting the maximum number of quantum bits with the minimum number of quantum channel resources. An improved bidirectional quantum teleportation protocol based on a quantum channel of six-qubit cluster state is proposed. In this paper, the user Alice can transmit an unknown three-qubit entangled state to the user Bob, and at the same time, the user Bob can transmit an arbitrary single-qubit state to the user Alice by utilizing GHz-state measurement, bell-state measurement, single-qubit Von Neumann measurement, and unitary operations. Compared with other schemes in quantum resource consumption, necessary operation complexity including operation difficulty and intensity, classical resource consumption, quantum information bits transmitted, and intrinsic efficiency, our scheme has the remarkable advantages in transmitting more quantum information and possesses higher intrinsic efficiency.
Abstract Cyclic quantum teleportation schemes requires at least the existence of three collaborators acting all as senders and receivers of quantum information, each one of them has an information to be transmitted to the next neighbour in a circular manner. Here, new cyclic quantum teleportation scheme is proposed for perfectly transmitting cyclically three arbitrary unknown two-qubit states ( α\alpha α α , β\beta β β and γ\gamma γ γ ) among the three collaborators. In this scheme, Alice can send to Bob the quantum information contained in her two-qubit state α\alpha α α and receive from Charlie the quantum information contained in the two-qubit state in his possession γ\gamma γ γ and similarly, Bob can transmit to Charlie the quantum information contained in his two-qubit state β\beta β β through a quantum channel of twelve-qubit state consisting of a six-qubit cluster state and a six-qubit entangled state by sequentially and cyclically performing Bell state measurements. Subsequently, each one of the three participants can afterwards retrieve his own desired two-qubit state using classical channel and by performing appropriate unitary Pauli operators and we have shown that our proposed scheme performs efficiently.