Gravitational splitting at first order: Quantum information localization in gravity
Gravitational splitting at first order: Quantum information localization in gravity
复制标题
一阶引力分裂：引力中的量子信息局域化
DOI：
10.1103/physrevd.98.086006
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发表时间：
2018
影响因子：
5
通讯作者：
S. Giddings
中科院分区：
文献类型：
--
作者：
William Donnelly;S. Giddings
我们探索的重要的基本问题，量子信息是如何在量子引力局域化，在微扰的方法。熟悉的信息局部化的描述，例如通过希尔伯特空间的张量因式分解或算子的交换子代数的网络，与基本的引力性质-特别是规范不变性-已经在微扰论中处于领先地位。然而，先前的工作发现，信息可以经典地定位在一个区域中，使得该区域以外的测量（包括引力场的测量）对该信息不敏感，并且只测量总的庞加莱电荷。本文表明，在引力耦合中，一个类似的量子结果成立，导致在引力的希尔伯特空间上定义了“引力分裂”。这种信息的局部化也反对“软毛”在解决黑洞信息问题中的作用。这个基本的数学结构无疑在引力的量子描述中扮演着基础性的角色。
We explore the important fundamental question of how quantum information is localized in quantum gravity, in a perturbative approach. Familiar descriptions of localization of information, such as via tensor factorization of the Hilbert space or a net of commuting subalgebras of operators, conflict with basic gravitational properties -- specifically gauge invariance -- already at leading order in perturbation theory. However, previous work found that information can be classically localized in a region in a way such that measurements, including those of the gravitational field, outside the region are insensitive to that information, and only measure total Poincare charges. This paper shows that, working to leading order in the gravitational coupling, a similar quantum result holds, leading to a definition of a "gravitational splitting" on the Hilbert space for gravity. Such localization of information also argues against a role for "soft hair" in resolving the information problem for black holes. This basic mathematical structure plausibly plays a foundational role in the quantum description of gravity.