量子-经典边界上的信息流
Information flow at the quantum-classical boundary
摘要：
我们研究的信息保存的量子信道通过观察存在于其图像（在海森堡图片）的性质，因此可以在接收器的一侧进行模拟。由通道保持的清晰的可观测量形成一个算子代数，该算子代数可以用通道的元素来表征。通道对这些可观测量的影响可以通过另一种物理变换来逆转。这些结果将量子纠错理论推广到任意冯诺依曼代数所表征的码，这些代数可以表示混合量子经典信息、连续变量系统或某些量子场论.保留的不清晰的观测值（正算子值的措施）允许一个通道保存的信息更精细的表征。我们发现，唯一类型的信息，可以被复制任意多次由粗粒度的一个单一的POVM。基于这些结果，我们提出了一个退相干模型，它可以解释一个经典相空间的出现。这个模型支持量子-经典对应是由量子-经典通道（即POVM）给出的观点。
英文摘要：
We study the nature of the information preserved by a quantum channel via the observables which exist in its image (in the Heisenberg picture), and can therefore be simulated on the receiver's side. The sharp observables preserved by a channel form an operator algebra which can be characterized in terms of the channel's elements. The effect of the channel on these observables can be reversed by another physical transformation. These results generalize the theory of quantum error correction to codes characterized by arbitrary von Neumann algebras, which can represent hybrid quantum-classical information, continuous variable systems, or certain quantum field theories. The preserved unsharp observables (positive operator-valued measures) allow for a finer characterization of the information preserved by a channel. We show that the only type of information which can be duplicated arbitrarily many times consists of coarse-grainings of a single POVM. Based on these results, we propose a model of decoherence which can account for the emergence of a classical phase-space. This model supports the view that the quantum-classical correspondence is given by a quantum-to-classical channel, i.e. a POVM.
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