We determine the covert capacity for entanglement generation over a noisy quantum channel. While secrecy guarantees that the transmitted information remains inaccessible to an adversary, covert communication ensures that the transmission itself remains undetectable. The entanglement dimension follows a square root law (SRL) in the covert setting, i.e., $O(\sqrt{n})$ Einstein-Podolsky-Rosen (EPR) pairs can be distributed covertly and reliably over $n$ channel uses. We begin with covert communication of classical information under a secrecy constraint. We then leverage this result to construct a coding scheme for covert entanglement generation. Single-letter expressions are derived for the covert key-assisted and unassisted secrecy capacities, as well as for the covert entanglement-generation capacity.

翻译：我们确定了在噪声量子信道上进行隐秘纠缠生成的隐秘容量。保密性确保传输信息对敌手保持不可访问，而隐秘通信则确保传输本身不可检测。在隐秘设定下，纠缠维度遵循平方根定律（SRL），即通过$n$次信道使用，可以隐秘且可靠地分发$O(\sqrt{n})$个爱因斯坦-波多尔斯基-罗森（EPR）对。我们首先研究在保密约束下经典信息的隐秘通信，然后利用这一结果构建用于隐秘纠缠生成的编码方案。我们推导了隐秘密钥辅助与非辅助保密容量以及隐秘纠缠生成容量的单字母表达式。