基于高斯系综的随机量子码和一个测不准关系
Random quantum codes from Gaussian ensembles and an uncertainty relation
摘要：
利用随机高斯矢量和信息不确定性关系，证明了相干信息是通过噪声量子信道进行纠缠传输的可达速率.代码是根据Haar测度选择的随机子空间，但作为发送者的输入密度算子的函数而失真。使用大偏差技术，我们表明，在两个傅里叶共轭基的编码子空间中的任何一个传输的经典数据可以被解码的错误概率低。最近发现的信息不确定性关系意味着编码到子空间中并通过信道传输的纠缠的量子互信息将很高。量子关联的一夫一妻制最终意味着信道的环境不能显著地耦合到纠缠，并得出结论，这确保了接收器解码的存在。
英文摘要：
Using random Gaussian vectors and an information-uncertainty relation, we give a proof that the coherent information is an achievable rate for entanglement transmission through a noisy quantum channel. The codes are random subspaces selected according to the Haar measure, but distorted as a function of the sender's input density operator. Using large deviations techniques, we show that classical data transmitted in either of two Fourier-conjugate bases for the coding subspace can be decoded with low probability of error. A recently discovered information-uncertainty relation then implies that the quantum mutual information for entanglement encoded into the subspace and transmitted through the channel will be high. The monogamy of quantum correlations finally implies that the environment of the channel cannot be significantly coupled to the entanglement, and concluding, which ensures the existence of a decoding by the receiver.
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