使用量子列表码在对抗性量子信道上进行通信
Communicating over adversarial quantum channels using quantum list codes
摘要：
我们研究了存在对抗性噪声的量子通信。在这种情况下，完美保真度的通信需要使用有界最小距离的量子码，其最佳已知速率由量子Gilbert-Varshamov（QGV）界给出。通过只要求任意的高保真度，并允许发送者和接收者使用一个长度为发送量子位数对数的密钥，我们实现了QGV速率的显着改善。事实上，我们发现协议，实现任意高保真度的噪声水平，完美的保真度是不可能的。为了实现这样的通信速率，我们引入完全量子列表码，这可能是独立的利益。
英文摘要：
We study quantum communication in the presence of adversarial noise. In this setting, communicating with perfect fidelity requires using a quantum code of bounded minimum distance, for which the best known rates are given by the quantum Gilbert-Varshamov (QGV) bound. By asking only for arbitrarily high fidelity and allowing the sender and reciever to use a secret key with length logarithmic in the number of qubits sent, we achieve a dramatic improvement over the QGV rates. In fact, we find protocols that achieve arbitrarily high fidelity at noise levels for which perfect fidelity is impossible. To achieve such communication rates, we introduce fully quantum list codes, which may be of independent interest.
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