Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.
Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA.
Phys Rev Lett. 2015 Apr 17;114(15):151602. doi: 10.1103/PhysRevLett.114.151602. Epub 2015 Apr 16.
A dispersive medium becomes entangled with zero-point fluctuations in the vacuum. We consider an arbitrary array of material bodies weakly interacting with a quantum field and compute the quantum mutual information between them. It is shown that the mutual information in D dimensions can be mapped to classical thermodynamic entropy in D+1 dimensions. As a specific example, we compute the mutual information both analytically and numerically for a range of separation distances between two bodies in D=2 dimensions and find a logarithmic correction to the area law at short separations. A key advantage of our method is that it allows the strong subadditivity property to be easily verified.
弥散介质与真空的零点涨落纠缠在一起。我们考虑任意一组与量子场弱相互作用的物质体，并计算它们之间的量子互信息。结果表明，D 维中的互信息可以映射到 D+1 维中的经典热力学熵。作为一个具体的例子，我们在 D=2 维中计算了两个物体之间的互信息，无论是在分析上还是数值上，都找到了在短距离分离时对面积定律的对数修正。我们方法的一个关键优势是它允许很容易验证强次加性性质。
