论文标题
精确解决方案的骨气开发通道的量子和私人能力
Exact solution for the quantum and private capacities of bosonic dephasing channels
论文作者
论文摘要
嘈杂的量子通道的能力捕获了跨量子通信线的最终信息传输速率，而量子容量在确定易耐故障量子计算平台的开销方面起着关键作用。在骨系统中，对于许多应用中的中心，这些容量的封闭公式都以玻色旋转性驱动通道而闻名，这是一类非高斯通道建模的关键类别，例如影响超导电路或光纤通信通道的噪声。在这里，我们提供了所有玻感脱位通道的量子，私人，双向辅助量子和秘密键合能力的第一个精确计算。我们证明它们等于通道统一分布的基础分布的相对熵。我们的结果解决了一个已经开放已有十年的问题，最初是由[Jiang＆Chen，Quantum和Nonlinear Optics 244，2010]提出的。
The capacities of noisy quantum channels capture the ultimate rates of information transmission across quantum communication lines, and the quantum capacity plays a key role in determining the overhead of fault-tolerant quantum computation platforms. In the case of bosonic systems, central to many applications, no closed formulas for these capacities were known for bosonic dephasing channels, a key class of non-Gaussian channels modelling, e.g., noise affecting superconducting circuits or fiber-optic communication channels. Here we provide the first exact calculation of the quantum, private, two-way assisted quantum, and secret-key agreement capacities of all bosonic dephasing channels. We prove that that they are equal to the relative entropy of the distribution underlying the channel to the uniform distribution. Our result solves a problem that has been open for over a decade, having been posed originally by [Jiang & Chen, Quantum and Nonlinear Optics 244, 2010].
