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Quantum entanglement lies at the heart of quantum information theory, with applications to quantum computing, teleportation, cryptography and communication. In the apparently separate world of quantum gravity, the Hawking effect of…

High Energy Physics - Theory · Physics 2017-08-23 M. J. Duff

Following our previous work on hybrid quantum states in the RST model, we study its most interesting solution representing a completely regular spacetime with the structure of causal diamond, containing an apparent horizon and radiation at…

High Energy Physics - Theory · Physics 2024-11-15 Yohan Potaux , Debajyoti Sarkar , Sergey N. Solodukhin

I present a selection of conceptual and mathematical problems in the foundations of modern physics as they derive from the title question. Contribution to a panel session, "Springer Forum: Quantum Structures -- Physical, Mathematical and…

Quantum Physics · Physics 2011-01-04 Paul Busch

This volume contains the proceedings of the 20th International Conference on Quantum Physics and Logic (QPL 2023). The aim of the QPL conference series is to bring together academic and industry researchers working on mathematical…

Quantum Physics · Physics 2023-09-07 Shane Mansfield , Benoît Valiron , Vladimir Zamdzhiev

By fully exploiting the existence of the unitarily inequivalent representations of quantum fields, we exhibit the entanglement between inner and outer particles, with respect to the event horizon of a black hole. We compute the entanglement…

High Energy Physics - Theory · Physics 2016-09-06 A. Iorio , G. Lambiase , G. Vitiello

By applying the island rule proposed recently, we compute the entanglement entropy of Hawking radiation and study the Page curve for the eternal black holes in massive gravity. We investigate for both the neutral and charged black holes…

High Energy Physics - Theory · Physics 2022-05-18 Cao H. Nam

Recent progress in our understanding of the black hole information paradox has lead to a new prescription for calculating entanglement entropies, which involves special subsystems in regions where gravity is dynamical, called…

High Energy Physics - Theory · Physics 2020-08-27 Hong Zhe Chen , Robert C. Myers , Dominik Neuenfeld , Ignacio A. Reyes , Joshua Sandor

Two lectures given at the UK-Japan Winter School on 'Geometry and Analysis Towards Quantum Theory', Durham, January 2004.

Mathematical Physics · Physics 2007-05-23 E Corrigan

This volume contains the proceedings of the 12th International Workshop on Quantum Physics and Logic (QPL 2015), which was held July 15-17, 2015 at Oxford University. The goal of this workshop series is to bring together researchers working…

Quantum Physics · Physics 2015-11-05 Chris Heunen , Peter Selinger , Jamie Vicary

Lecture notes prepared for the Les Houches school "Quantum Geometry: Mathematical Methods for Gravity, Gauge Theories and Non-Perturbative Physics" that took place during the summer 2024. We cover the techniques to perform the exact…

High Energy Physics - Theory · Physics 2026-02-04 Gustavo J. Turiaci

Aimed at introducing readers to the physics of strongly correlated many-body systems, these notes focus on numerical methods, with detailed discussions on implementing working code for exact diagonalization. A brief introduction to tensor…

Strongly Correlated Electrons · Physics 2025-03-06 Guglielmo Lami , Mario Collura , Nishan Ranabhat

These are lectures presented at the Les Houches Summer School ``Topology and Geometry in Physics'', July 1998. They provide a simple introduction to non perturbative methods of field theory in 1+1 dimensions, and their application to the…

Condensed Matter · Physics 2007-05-23 H. Saleur

These notes, based on lectures given at various schools over the last few years, aim to provide an introduction to entanglement entropies in quantum field theories, including holographic ones. We explore basic properties and simple examples…

High Energy Physics - Theory · Physics 2019-07-19 Matthew Headrick

Formulating a quantum theory of gravity lies at the heart of fundamental theoretical physics. This collection of lecture notes encompasses a selection of topics that were covered in six mini-courses at the Nordita PhD school "Towards…

High Energy Physics - Theory · Physics 2025-10-10 Ivano Basile , Luca Buoninfante , Francesco Di Filippo , Benjamin Knorr , Alessia Platania , Anna Tokareva

In this work, we investigate the properties of Hawking radiation induced by the quantum atmosphere beyond the event horizon, by considering two detectors in Schwarzschild spacetime with the parameterized Hartle-Hawking temperature.…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Shuai Zhang , Li-Juan Li , Xue-Ke Song , Liu Ye , Dong Wang

In this paper, we study entanglement islands and the Page curve in the eternal four-dimensional Schwarzschild black hole surrounded by finite temperature conformal matter. By finite temperature conformal matter we mean the matter described…

High Energy Physics - Theory · Physics 2022-06-10 Dmitry S. Ageev , Irina Ya. Aref'eva

We study the Page curve and information paradox for Kerr AdS black hole in light of entanglement entropy by employing the recently proposed island paradigm. By incorporating the island rule, we show that the entanglement entropy of Kerr AdS…

High Energy Physics - Theory · Physics 2026-02-04 Digen Das , Mozib Bin Awal , Prabwal Phukon

We present an overall picture of the advances in the description of black hole physics from the perspective of loop quantum gravity. After an introduction that discusses the main conceptual issues we present some details about the classical…

General Relativity and Quantum Cosmology · Physics 2015-01-14 J. Fernando Barbero G. , Alejandro Perez

These notes are an expanded version of lectures given at the Croatian School on Black Holes at Trpanj, June 21-25, 2010. The aim is to provide a practical introduction to quantum field theory in curved spacetime and related black hole…

High Energy Physics - Theory · Physics 2010-11-29 Chethan Krishnan

The black hole information paradox is a long-standing problem in theoretical physics. Despite some recent progress, many issues remain open and should be clarified. In this paper, we study the information paradox of Kerr black holes and…

High Energy Physics - Theory · Physics 2023-12-25 Jun Nian