发表机构
Interdisciplinary Centre for Security, Reliability and Trust (SnT), University of Luxembourg; École Nationale Supérieure d’Informatique (ESI); Research Institute for Digital Future, Khalifa University of Science and Technology（卢森堡大学安全、可靠性和信任跨学科中心; 国立高等信息学院; 阿提哈德数字未来研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对玻色子量子MIMO信道上的GHZ态传输，提出联合GKP编码方案，通过优化复数Givens格和联合解码，相比乘积处理显著提升态保持性能，并揭示奇异帧几何是关键资源。
AI 中文摘要
我们研究了在非酉量子多输入多输出（QuMIMO）信道上，使用有限能量Gottesman-Kitaev-Preskill（GKP）编码传输Greenberger-Horne-Zeilinger（GHZ）态的问题。一个耦合模式模型描述了相干混合、模式相关衰减和高斯噪声。收发机结合了可编程无源网格、量子极限MMSE增益、本地GKP恢复和联合经典综合征解码。我们利用瞬时信道状态信息（CSI）、带信道统计的当前奇异值或仅统计信息来优化复数Givens格。仿真表明，联合格整形优于乘积GKP处理。在相干基漂移下，完整的瞬时CSI改善了GHZ态的保持，而奇异值条件设计和全统计设计的性能相似，因为两者都无法解析当前的奇异帧。这些发现将奇异帧几何确定为超越衰减知识的关键资源，其中联合GKP处理使逻辑格和接收机适应各向异性玻色子噪声，而不仅仅是反转多模混合。
英文摘要
We study transmission of a Greenberger-Horne-Zeilinger (GHZ) state over nonunitary quantum multiple-input multiple-output (QuMIMO) channels using finite-energy Gottesman-Kitaev-Preskill (GKP) encoding. A coupled-mode model describes coherent mixing, mode-dependent attenuation, and Gaussian noise. The transceiver combines programmable passive meshes, quantum-limited MMSE gain, local GKP recovery, and joint classical syndrome decoding. We optimize complex-Givens lattices using instantaneous channel-state information (CSI), current singular values with channel statistics, or statistics alone. Simulations show that joint lattice shaping outperforms product GKP processing. Under coherent-basis drift, full instantaneous CSI improves GHZ-state preservation, whereas singular-value conditioned and fully statistical designs perform similarly because neither resolves the current singular frames. These findings identify singular-frame geometry as a critical resource beyond attenuation knowledge where joint GKP processing adapts the logical lattice and receiver to anisotropic bosonic noise rather than merely inverting multimode mixing.
