高斯信道的最小输出熵
量子物理
2010-01-21 v2
摘要
我们证明，所有单模高斯信道的最小输出熵是可加的，并且由高斯输入达到。这使得可以推导出若干高斯信道的信道容量，包括具有线性损耗、热噪声和线性放大的信道。
引用
@article{arxiv.0906.2762,
title = {Minimum output entropy of Gaussian channels},
author = {S. Lloyd and V. Giovannetti and L. Maccone and S. Pirandola and R. Garcia-Patron},
journal= {arXiv preprint arXiv:0906.2762},
year = {2010}
}
备注
This paper has been withdrawn by the authors due to incompleteness of proof. The argument is accurate up to in the second minimization (equations (4-5)). At this point, a subtlety of minimization theory arises: the gradients of the constraints in the Lagrange minimization are not linearly independent. Accordingly, although we do indeed find that thermal states minimize the output entropy, the Lagrange theorem no longer guarantees the uniqueness of the solution