论文标题
log-sobolev的不平等和高斯最大化剂假设的证据证明了量子噪声的能力
Log-Sobolev inequality and proof of Hypothesis of the Gaussian Maximizers for the capacity of quantum noisy homodyning
论文作者
论文摘要
在本文中，我们给出证明，振荡器能量约束的信息传输能力是在高斯编码上实现的噪声高斯同质量的基础的振荡器能量约束。证明基于凸编程的一般原则。相反，对于这种特定模型，方法将优化问题的解决方案降低到了著名的log-sobolev不平等的概括。我们希望该方法也应适用于其他模型，以外的“阈值条件”的范围，以确保可以达到最大值和最小输出熵之间的差额的上限。
In the present paper we give proof that the information-transmission capacity of the approximate position measurement with the oscillator energy constraint, which underlies noisy Gaussian homodyning in quantum optics, is attained on Gaussian encoding. The proof is based on general principles of convex programming. Rather remarkably, for this particular model the method reduces the solution of the optimization problem to a generalization of the celebrated log-Sobolev inequality. We hope that this method should work also for other models lying out of the scope of the "threshold condition" ensuring that the upper bound for the capacity as a difference between the maximum and the minimum output entropies is attainable.
