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., $O(\sqrt{n})$ 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.

翻译：我们确定了在有噪声量子信道上进行纠缠生成的隐蔽容量。虽然保密性保证了传输信息对对手不可访问，但隐蔽通信确保了传输本身不可检测。在隐蔽设置下，纠缠维度遵循平方根定律（SRL），即通过$n$次信道使用，可以隐蔽且可靠地分配$O(\sqrt{n})$个EPR对。我们首先从具有保密约束的经典信息隐蔽通信开始。然后，我们利用这一结果构建了隐蔽纠缠生成的编码方案。