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The black-hole information paradox has fueled a fascinating effort to reconcile the predictions of general relativity and those of quantum mechanics. Gravitational considerations teach us that black holes must trap everything that falls…

Quantum Physics · Physics 2009-07-07 Samuel L. Braunstein , Hans-Jürgen Sommers , Karol Życzkowski

Quantum computers are emerging technologies expected to become important tools for exploring various aspects of fundamental physics in the future. Therefore, we pose the question of whether quantum computers can help us to study the Page…

Quantum Physics · Physics 2025-09-19 Talal Ahmed Chowdhury , Kwangmin Yu , Muhammad Asaduzzaman , Raza Sabbir Sufian

We review recent progress on the information paradox. We explain why exponentially small correlations in the radiation emitted by a black hole are sufficient to resolve the original paradox put forward by Hawking. We then describe a…

High Energy Physics - Theory · Physics 2021-02-02 Suvrat Raju

A sketchy review of the "island" paradigm in black hole evaporation theory, which actually brings us back to the old idea that interior of black hole decouples from our universe after Page time, so that Hawking radiation is entangled with…

High Energy Physics - Theory · Physics 2024-04-15 A. Morozov

Hawking's seminal discovery of black hole evaporation was based on the semi-classical, perturbative method. Whether black hole evaporation may result in the loss of information remains undetermined. The solution to this paradox would most…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Pisin Chen , Misao Sasaki , Dong-han Yeom

The present work delves into probing the importance of mutual information of relevant subsystems in obtaining the correct time-evolution of fine-grained entropy of Hawking radiation, as suggested by Page. This was done by considering a…

High Energy Physics - Theory · Physics 2025-08-08 Ashis Saha , Anirban Roy Chowdhury , Sunandan Gangopadhyay

The origin of black hole entropy and the black hole information problem provide important clues for trying to piece together a quantum theory of gravity. Thus far, discussions on this topic have mostly assumed that in a consistent theory of…

High Energy Physics - Theory · Physics 2012-10-02 Markus P. Mueller , Jonathan Oppenheim , Oscar C. O. Dahlsten

In his original derivation, Hawking showed that a Schwarzschild black hole is unstable at quantum level and it evolves to a final thermal mixed state violating unitarity. There are some attempts to solve this information paradox based on a…

High Energy Physics - Theory · Physics 2018-05-14 Ali Akil , Oscar Dahlsten , Leonardo Modesto

Unitarization of black hole evaporation requires that quantum information escapes a black hole; an important question is to identify the mechanism or channel by which it does so. Accurate counting of black hole states via the…

High Energy Physics - Theory · Physics 2015-12-30 Steven B. Giddings

We combine analytical and numerical techniques to study the collapse of conformally coupled massless scalar fields in semiclassical 2D dilaton gravity, with emphasis on solutions just below criticality when a black hole almost forms. We…

High Energy Physics - Theory · Physics 2009-10-30 Sukanta Bose , Leonard Parker , Yoav Peleg

Since the discovery of Hawking radiation, its consistency with quantum theory has been widely questioned. In the widely described picture, irrespective of what initial state a black hole starts with before collapsing, it eventually evolves…

General Relativity and Quantum Cosmology · Physics 2014-03-31 Baocheng Zhang , Qingyu Cai , Mingsheng Zhan , Li You

In an ordinary quantum field theory, the "split property" implies that the state of the system can be specified independently on a bounded subregion of a Cauchy slice and its complement. This property does not hold for theories of gravity,…

High Energy Physics - Theory · Physics 2022-04-13 Suvrat Raju

Treating Maxwell soft hair as a transition function that relates U(1) gauge fields living in the asymptotic region and near-horizon region, the U(1) gauge parameter $\phi$ naturally becomes a good label of those Maxwell soft hair degrees of…

High Energy Physics - Theory · Physics 2021-06-30 Peng Cheng , Yang An

In recent years, there is a huge progress in understanding the black hole information problem, and the key is that the black hole entropy of radiation should be calculated by the island formula, which describes the Page curve to ensure the…

High Energy Physics - Theory · Physics 2025-01-22 Haocheng Zhong

The decoupling technique is a fundamental tool in quantum information theory with applications ranging from quantum thermodynamics to quantum many body physics to the study of black hole radiation. In this work we introduce the notion of…

Quantum Physics · Physics 2017-03-01 Christian Majenz , Mario Berta , Frédéric Dupuis , Renato Renner , Matthias Christandl

We study the entanglement entropy of a one-parameter family of exactly solvable gravities in the 2-dimensional asymptotically-flat space. The islands and Page curves of eternal, evaporating and bath-removed black holes are investigated. The…

High Energy Physics - Theory · Physics 2021-07-07 Xuanhua Wang , Ran Li , Jin Wang

We study the Page curve and the effect of the Hawking-Page phase transition in the Vaidya model of evaporating BTZ black holes, both with and without islands. The phase transition can occur before, at, or after the Page time. When it occurs…

High Energy Physics - Theory · Physics 2026-05-12 Dao-Quan Sun

The entanglement entropy of black holes is expected to follow the Page curve. After an initial linear increase with time the entanglement entropy should reach a maximum at the Page time and then decrease. This paper introduces an exactly…

Quantum Physics · Physics 2024-06-19 Stefan Kehrein

A new simple qubit model of black hole evaporation is proposed. The model operates on four qubits and is defined in terms of quantum gates and a quantum circuit. The chief features of the model include explicit unitarity and (most notably)…

Quantum Physics · Physics 2021-10-26 Bogusław Broda

The evaporation of black holes into apparently thermal radiation poses a serious conundrum for theoretical physics: at face value, it appears that in the presence of a black hole quantum evolution is non-unitary and destroys information.…

High Energy Physics - Theory · Physics 2011-07-11 Vijay Balasubramanian , Bartlomiej Czech