Energy Conditions and Quantum Information

2025/09/01 by Norihiro Iizuka, Iizuka, Norihiro, Akihiro Ishibashi +6
Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2509.01286

openalex publication_date 2025/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The concept of energy lies at the foundation of physical science. In general relativity and quantum field theory, the positivity and conservation of energy are encapsulated by the so-called energy-momentum tensor and the energy conditions. In recent efforts to unify fundamental physics with quantum information, the energy conditions have come to play a crucial role in establishing numerous theorems. In this article, we review the basics of energy conditions in general relativity and their applications in gravitational physics, quantum field theory, and the holographic principle. Through these applications, we explore the profound connection between the energy conditions and quantum information

Citations

• Quantum null energy condition in quenched 2d CFTs
• The Synge G-Method: cosmology, wormholes, firewalls, geometry
• The massless modular Hamiltonian
• Recovering the QNEC from the ANEC
• Conformal collider physics: energy and charge correlations
• Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
• The world as a hologram
• The singularities of gravitational collapse and cosmology
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system

Related

• A Primer on Energy Conditions
• Positive thinking: A search for energy conditions
• Lectures on quantum energy inequalities
• Concerning Energy
• Deriving general relativity from considerations on quantum information