发表机构
University of York（约克大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对噪声玻色子高斯信道，提出统一自适应弱逆界，约束双向容量，在有限能量下改进现有界并量化可达性差距。
AI 中文摘要
在存在过量噪声的情况下，能量受限的玻色子通信的可达速率与逆界之间仍存在差距。我们在无条件平均发射光子数约束下，推导了热衰减、噪声放大和加性高斯噪声的统一自适应弱逆界。该界适用于具有量子存储器的任意自适应协议，并约束了双向量子容量、纠缠分发容量、私有容量和秘密密钥容量。该界在整个纠缠破坏区域消失，并在无限能量下趋近相应的PLOB界。在有限能量下，它在相关参数区域内改进了已评估的高斯压缩纠缠界和PLOB界，而与哈希率的比较则量化了与可达性之间的剩余差距。该结果为噪声玻色子高斯信道提供了共同的能量依赖基准，并将有限能量逆方法扩展到量子受限设置之外。
英文摘要
A gap between achievable rates and converse bounds persists for energy-constrained bosonic communication in the presence of excess noise. We derive a unified adaptive weak-converse bound for thermal attenuation, noisy amplification, and additive Gaussian noise under an unconditional mean transmitted-photon-number constraint. The bound applies to arbitrary adaptive protocols with quantum memories and constrains the two-way quantum, entanglement-distribution, private, and secret-key capacities. It vanishes throughout the entanglement-breaking region and approaches the corresponding PLOB bound at infinite energy. At finite energy, it improves the evaluated Gaussian squashed-entanglement and PLOB bounds in relevant parameter regimes, while comparison with hashing rates quantifies the remaining gap to achievability. The result provides a common energy-dependent benchmark for noisy bosonic Gaussian channels and extends finite-energy converse methods beyond the quantum-limited setting.
