Li Yan-Ling, Huang Long, Xiao Xing
School of Information Engineering, Jiangxi University of Science and Technology, Ganzhou, 341000, China.
School of Physics and Electronic Information, Gannan Normal University, Ganzhou, 341000, China.
Sci Rep. 2025 Apr 16;15(1):13052. doi: 10.1038/s41598-025-96678-0.
Quantum teleportation of an unknown quantum state necessitates the transmission of two classical bits of information; however, when the quantum state is partially known, only a single classical bit is required for the teleportation of its quantum coherence. In this study, we explore the teleportation of quantum coherence through noisy channels utilizing merely one classical bit of information. Our findings reveal that, in contrast to noise-free scenarios, the generalized Bell states POVM (GBS-POVM) and non-maximally entangled states may surpass the performance of Bell states POVM (BS-POVM) and maximally entangled states in enabling probabilistic teleportation of quantum coherence. Nevertheless, when assessing the average amount of quantum coherence that can be teleported, maximally entangled states combined with BS-POVM emerges as the optimal choice, regardless of the type of noise encountered. Moreover, we uncover that for bit-phase-flip (BPF) noise, it is feasible to construct a suitable GBS-POVM that completely mitigates this noise. For other types of noise, we demonstrate that enhancing the teleportation of quantum coherence can be accomplished through entangling two consecutive uses of the same noisy channel, i.e., correlated noise. Notably, correlation effects arising from Pauli channels can entirely negate the detrimental impact of Pauli noises on the teleportation process for quantum coherence.
未知量子态的量子隐形传态需要传输两个经典比特的信息；然而，当量子态部分已知时，其量子相干性的隐形传态仅需要一个经典比特。在本研究中，我们仅利用一个经典比特的信息探索通过噪声信道进行量子相干性的隐形传态。我们的研究结果表明，与无噪声情况相比，广义贝尔态正算符值测量（GBS-POVM）和非最大纠缠态在实现量子相干性的概率隐形传态方面可能优于贝尔态正算符值测量（BS-POVM）和最大纠缠态。然而，在评估能够隐形传态的平均量子相干量时，无论遇到何种类型的噪声，最大纠缠态与BS-POVM相结合都是最佳选择。此外，我们发现对于比特相位翻转（BPF）噪声，构建一个合适的GBS-POVM以完全消除这种噪声是可行的。对于其他类型的噪声，我们证明可以通过纠缠连续两次使用相同的噪声信道（即相关噪声）来增强量子相干性的隐形传态。值得注意的是，泡利信道产生的相关效应可以完全消除泡利噪声对量子相干性隐形传态过程的不利影响。
