论文标题
频道和失真
Channel Discord and Distortion
论文作者
论文摘要
不和谐最初是双方量子相关性的签名,实际上可以在经典上是非零的,即是由两方之一的嘈杂测量引起的。在这里,我们重新定义了经典的传统失真,与先前对经典不一致对状态的限制相反,然后我们显示经典(通道)和通道失真之间的单调关系。我们表明,经典不一致等于(双重随机)通道失真,通过数字发现两方协议的不一致关系和总差异距离之间的单调关系,一个方具有无噪声通道和另一方具有嘈杂通道的一方。我们的数值方法包括为嘈杂的通道随机生成双随机矩阵,并在输入消息的统一度量上平均。与失真连接不一致会将不和谐作为经典而不是量子通道失真的签名。
Discord, originally notable as a signature of bipartite quantum correlation,in fact can be nonzero classically, i.e., arising from noisy measurements by one of the two parties. Here we redefine classical discord to quantify channel distortion,in contrast to the previous restriction of classical discord to a state,and we then show a monotonic relationship between classical (channel) discord and channel distortion. We show that classical discord is equivalent to (doubly stochastic) channel distortion by numerically discovering a monotonic relation between discord and total-variation distance for a bipartite protocol with one party having a noiseless channel and the other party having a noisy channel. Our numerical method includes randomly generating doubly stochastic matrices for noisy channels and averaging over a uniform measure of input messages. Connecting discord with distortion establishes discord as a signature of classical, not quantum, channel distortion.