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Quantum Information Processing

Cyclic teleportation in noisy channel with nondemolition parity analysis and weak measurement

Peng Jia-yin, Liang Bao Tang, Zhen Yang, Fan Wu, Zhiwen Mo, Ming-Qiang Bai

Published Mar 1, 2022• 20 citations
Publisher
DOI
10.1007/s11128-022-03461-5

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Abstract Controlled cyclic hybrid quantum communication (CCHQC) has emerged as a promising framework for secure multi-party quantum networks. We propose a novel multi-supervisor CCHQC protocol that enhances security and fault tolerance while maintaining high-dimensional state transmission capabilities. Our protocol enables simultaneous cyclic teleportation of arbitrary unknown qudit states and remote state preparation of known states under multiple controller supervision. By employing a carefully designed multi-partite entangled channel and optimized measurement operators, we achieve unit success probability in noiseless conditions. Furthermore, we introduce a comprehensive noise mitigation strategy combining weak measurement, environment-assisted measurement, and quantum error correction techniques to combat amplitude damping noise. Through detailed performance analysis, we demonstrate that our protocol outperforms existing schemes in terms of intrinsic efficiency, security, and roCoverLetter.texbustness against decoherence. The proposed architecture provides a scalable solution for practical quantum network implementations in noisy environments.
This study presents an improved quantum teleportation protocol designed to enhance fidelity in noisy environments by combining weak measurements (WMs) with flip and reversal operations. In our scheme, Alice prepares a four-qubit entangled state and shares one of the entangled qubits with Bob, which serves as the quantum channel for teleporting an arbitrary single-qubit state. Since the communication channel is subject to noise, Alice performs a weak measurement on the shared qubit before transmission to reduce the impact of decoherence. Building upon existing WM-flipreversal frameworks, we propose a modified weak measurement and reversal (WMR) protocol tailored for different noises in a four-qubit entangled system. The approach applies WM and flip operations prior to transmission to enhance resilience against noise, followed by corresponding reversal operations after transmission to recover the original quantum state. We systematically compare the performance of our proposed WMR protocol with the previously proposed WM-flip-reversal method under three common noise models: amplitude damping channel (ADC), phase flip channel (PFC), and bit flip channel (BFC). Our analysis reveals that the modified WMR scheme achieves significantly higher teleportation fidelity and improved robustness, particularly in bit flip noise environments. These findings highlight the potential of optimized weak measurement strategies for developing more reliable and noise-tolerant quantum communication protocols