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Physica Scripta

Multi-party cyclic teleportation of entangled states in noisy channels

R Vedhanayagi, Soubhik De, Basherrudin Mahmud Ahmed A, Alok Sharan

Published Apr 24, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.1088/1402-4896/ae64bc

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Modern Physics Letters B•Jul 11, 2022•12 citations
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 has evolved from single-qubit, unidirectional communication to multi-qubit and multidirectional protocols. However, most existing schemes rely on protocol-specific entangled resources, motivating the development of universal quantum channels capable of supporting multiple communication tasks simultaneously. In this work, we demonstrate that a single twelve-qubit entangled channel exhibits such versatility by enabling the bidirectional teleportation of arbitrary three-qubit states and the cyclic teleportation of arbitrary two-qubit states through local Bell-state measurements and single-qubit operations. Both protocols are further generalized to multi-qubit and multi-party configurations, establishing the scalability of the proposed framework. To assess its practical applicability, the protocols are analyzed under amplitude-damping, phase-damping, bit-flip, phase-flip, and depolarizing noise channels by plotting the teleportation fidelity as a function of both the input-state parameters and noise strength. The analysis reveals distinct noise sensitivities, with the bidirectional protocol remaining perfectly faithful under bit-flip noise for all input states and noise strengths, while the cyclic protocol is consistently more vulnerable to environmental disturbances. The proposed schemes achieve an intrinsic efficiency of 25%25\%25%, which is compared with several existing protocols. The framework therefore provides a scalable and resource-efficient approach to unified quantum communication in realistic noisy quantum networks.
In this paper, we present a deterministic four-party quantum cyclic controlled teleportation (QCYCT) scheme, by using a multi-qubit partially entangled state as the quantum channel. In this scheme, Alice can teleport an arbitrary [Formula: see text]-qubit state to Bob, Bob can teleport an arbitrary [Formula: see text]-qubit state to Charlie and Charlie can teleport an arbitrary [Formula: see text]-qubit state to Alice under the control of the supervisor David. We utilize rotation gate, Hadamard gates and controlled-NOT (CNOT) gates to construct the multi-qubit partially entangled channel. Only Bell-state measurements, single-qubit von-Neumann measurement and proper unitary operations are required in this scheme, which can be realized in practice easily based on the present quantum experiment technologies. The direction of cyclic controlled teleportation of arbitrary multi-qubit states can also be changed by altering the quantum channel. Analysis demonstrates that the success probability of the proposed scheme can still reach 100% although the quantum channel is non-maximally entangled. Furthermore, the proposed four-party scheme can be generalized into the case involving [Formula: see text] correspondents, which is more suitable for quantum communication networks. We also calculate the intrinsic efficiency and discuss the security of the proposed scheme. Compared with the existing QCYCT schemes which realized cyclic controlled teleportation of arbitrary single-qubit states, specific two-qubit and three-qubit states, the proposed scheme is of general significance.
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.
Abstract We propose two novel protocols for bidirectional quantum teleportation (BQT) of qutrit states in multi-party settings: a cyclic BQT protocol enabling simultaneous state exchange among three or more users, and a controlled BQT protocol incorporating a supervisory authorization mechanism. Both protocols leverage optimized multi-qutrit entangled channels and deterministic measurement-based correction schemes. We derive exact analytical expressions for the state-independent average fidelities under all four types of three-dimensional Pauli-like noise channels: trit-flip, t-phase-flip, trit-phase-flip, and t-depolarizing. Our results demonstrate a linear fidelity degradation with noise parameter p , yet both protocols maintain superior resource efficiency and security compared to conventional two-party BQT. The cyclic protocol achieves a 33% reduction in entanglement resource consumption compared to sequential two-party implementations, while the controlled protocol ensures unconditional security against unauthorized access. These advances establish a practical framework for high-dimensional quantum networks and secure distributed quantum applications.
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.
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.