Quantum Gravity and Quantum Information

量子引力和量子信息

• 批准号: 2207851
• 负责人: Eugenio Bianchi
• 金额: $ 36万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-07-01 至 2025-06-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2207851&HistoricalAwards=false
• 关键词: Quantum; Gravity; Information

This project lies at the interface of quantum gravity and quantum information. The cross-fertilization of these two sub-fields is at the roots of a number of foundational results in theoretical physics related to the interface between gravity and quantum mechanics. The goal of this project is to develop new quantum-information methods and apply them to the exploration of the quantum nature of spacetime. The results of this research are expected to have a direct impact on the development of loop quantum gravity (LQC), a theory that unifies gravitation with all the other forces of nature, and of the understanding of the interplay between these forces in the very early universe.In the context of loop quantum gravity, methods from condensed-matter physics are applied to spin-network states to identify the corner of the kinematical Hilbert space which supports quantum geometries with long-range correlations. In particular, typicality and eigenstate thermalization in a new fermionic representation of the spin 1/2 truncation is employed. At the dynamical level, methods from causal networks are applied to spin-foams to identify classes of configurations with a fixed global causal structure and determine the effective Lagrangian of the theory. At the perturbative level, the entanglement production by quantum fields in cosmological spacetimes is studied, with a focus on the pre-inflationary phase. The objective is to identify quantum-information quantities, such as the mutual information between regions of spacetime, that describe universal features of the transition between the non-perturbative quantum gravity phase and the perturbative effective-field-theory regime.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该项目位于量子重力和量子信息的界面。这两个子场的交叉剥夺是在与重力和量子力学之间界面有关的理论物理学基础结果的根基上。该项目的目的是开发新的量子信息方法，并将其应用于探索时空的量子性质。预计这项研究的结果将直接影响环路量子重力（LQC）的发展，该理论将引力与自然界的所有其他力量统一，以及在早期对这些力之间的相互作用的理解宇宙。在循环量子重力的上下文中，将凝结物理学的方法应用于旋转网络状态，以识别运动学希尔伯特空间的角，该运动支持具有远距离相关性的量子几何形状。特别是，采用了自旋1/2截断的新的费米代表中的典型性和征态热化。在动态层面上，将因果网络的方法应用于自旋泡沫以识别具有固定全局因果结构的构型类别，并确定理论的有效拉格朗日。在扰动水平上，研究了宇宙学空间中量子场的纠缠产生，重点是通电前阶段。目的是确定量子信息数量，例如时空区域之间的相互信息，描述了非扰动量子重力阶段与扰动有效场理论方案之间过渡之间的普遍特征。使命，并被认为是通过基金会的知识分子优点和更广泛影响的审查标准通过评估值得支持的。

项目成果

Volume-Law Entanglement Entropy of Typical Pure Quantum States

• DOI: 10.1103/prxquantum.3.030201
• 发表时间: 2021-12
• 期刊: PRX Quantum
• 影响因子: 9.7
• 作者: Eugenio Bianchi;L. Hackl;M. Kieburg;M. Rigol;L. Vidmar