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arXiv 2610.12365quant-ph

纯损耗信道的能量受限双向容量

Energy-constrained two-way capacities of the pure-loss channel

Alessandro Falco, Francesco Anna Mele, Ludovico Lami, Vittorio Giovannetti

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中文总结 AI 辅助

该研究确定了平均输入光子数约束下纯损耗信道的双向量子与秘密密钥容量,给出了统一表达式,补充了纯损耗信道的容量公式,完善了玻色子量子通信的相关理论。

中文摘要 AI 辅助

我们确定了平均输入光子数约束下纯损耗信道的双向量子容量和秘密密钥容量。对于透射率η和光子预算N,两种容量均等于g(N)-g((1-η)N),其中g是热态的熵。这与已知的双模压缩真空的反向相干信息所达到的速率一致。我们的结果提供了著名纯损耗信道最后缺失的容量公式,完善了纯损耗下玻色子量子通信的图景。

英文摘要

We determine the two-way quantum and secret-key capacities of the pure-loss channel under an average input photon-number constraint. For transmissivity $η$ and photon budget $N$, both capacities equal $g(N)-g((1-η)N)$, where $g$ is the entropy of a thermal state. This coincides with the rate achieved by the known reverse coherent information of a two-mode squeezed vacuum. Our result provides the last missing capacity formula for the celebrated pure-loss channel, completing the picture of bosonic quantum communication under pure loss.

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