量子引力层析成像
Quantum gravity tomography
摘要：
全息原理假定时空区域中的所有量子信息都在其边界上编码。虽然在渐近反德西特时空中的某些量子引力模型中有强有力的证据证明这一原理，但全息术是量子引力的一般特征，还是这些模型的特殊性质，还有待确定。本工作的目的是在微扰量子引力的框架下提出一个平坦时空中的全息再现模型。具体地说，我们考虑了量子场论中单粒子部分的一个态，并给出了一种从空间无穷远处的度规测量中完全重建量子态的方法。我们的论证使用了量子力学维格纳函数的相对论推广，并给出了引力约束在边界上全息编码量子信息的明确机制。此外，它建议如何更一般的国家的信息可能会恢复从软收费在零无穷大，与应用程序的黑洞信息损失悖论。
英文摘要：
The holographic principle posits that all quantum information in a region of spacetime is encoded on its boundary. While there is strong evidence for this principle in certain models of quantum gravity in asymptotically anti-de Sitter spacetime, it is yet to be established whether holography is a generic feature of quantum gravity, or a peculiar property of these models. The goal of the present work is to present a model of holographic reconstruction in the framework of perturbative quantum gravity in flat spacetime. Specifically, we consider a state in the single-particle sector of a quantum field theory and give a method to completely reconstruct the quantum state from measurement of the metric at spatial infinity. Our argument uses a relativistic generalization of the quantum-mechanical Wigner function, and gives an explicit mechanism by which the gravitational constraints encode quantum information holographically on the boundary. Moreover, it suggests how information about more general states might be recovered from soft charges at null infinity, with applications to the black hole information loss paradox.
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