Mixed-state entanglement and information recovery in thermalized states and evaporating black holes
Abstract We study the universal behavior of quantum information-theoretic quantities in thermalized isolated quantum many-body systems and evaporating black holes. In particular, we study a genuine mixed-state entanglement measure called the logarithmic negativi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2023
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| Online Access: | https://hdl.handle.net/1721.1/147109 |
| _version_ | 1811071641003753472 |
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| author | Vardhan, Shreya Kudler-Flam, Jonah Shapourian, Hassan Liu, Hong |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Vardhan, Shreya Kudler-Flam, Jonah Shapourian, Hassan Liu, Hong |
| author_sort | Vardhan, Shreya |
| collection | MIT |
| description | Abstract
We study the universal behavior of quantum information-theoretic quantities in thermalized isolated quantum many-body systems and evaporating black holes. In particular, we study a genuine mixed-state entanglement measure called the logarithmic negativity, other correlation measures including the Renyi negativities and the mutual information, and a signature of multipartite entanglement called the reflected entropy. We also probe the feasibility of recovering quantum information from subsystems of a thermalized quantum many-body system or from the radiation of an evaporating black hole, using quantities such as relative entropy and Petz map fidelity. A recently developed technique called the equilibrium approximation allows us to probe these quantities at finite temperature. We find striking qualitative differences from the infinite temperature case, which has been the topic of previous studies using Haar-random states. In particular, we find regimes where the logarithmic negativity is extensive but the mutual information is sub-extensive, indicating a large amount of undistillable, bound entanglement in thermalized states. For evaporating black holes at finite temperature, both the logarithmic negativity and the Petz map fidelity reveal an important new time scale tb, which is earlier than the Page time tp by a finite fraction of the total evaporation time. We find that tb, as opposed to tp, is the time scale at which quantum entanglement between different parts of the radiation becomes extensive, and the fidelity of information recovery for a large diary thrown into the black hole starts to grow. |
| first_indexed | 2024-09-23T08:54:23Z |
| format | Article |
| id | mit-1721.1/147109 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:54:23Z |
| publishDate | 2023 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1471092023-01-18T03:47:01Z Mixed-state entanglement and information recovery in thermalized states and evaporating black holes Vardhan, Shreya Kudler-Flam, Jonah Shapourian, Hassan Liu, Hong Massachusetts Institute of Technology. Center for Theoretical Physics Abstract We study the universal behavior of quantum information-theoretic quantities in thermalized isolated quantum many-body systems and evaporating black holes. In particular, we study a genuine mixed-state entanglement measure called the logarithmic negativity, other correlation measures including the Renyi negativities and the mutual information, and a signature of multipartite entanglement called the reflected entropy. We also probe the feasibility of recovering quantum information from subsystems of a thermalized quantum many-body system or from the radiation of an evaporating black hole, using quantities such as relative entropy and Petz map fidelity. A recently developed technique called the equilibrium approximation allows us to probe these quantities at finite temperature. We find striking qualitative differences from the infinite temperature case, which has been the topic of previous studies using Haar-random states. In particular, we find regimes where the logarithmic negativity is extensive but the mutual information is sub-extensive, indicating a large amount of undistillable, bound entanglement in thermalized states. For evaporating black holes at finite temperature, both the logarithmic negativity and the Petz map fidelity reveal an important new time scale tb, which is earlier than the Page time tp by a finite fraction of the total evaporation time. We find that tb, as opposed to tp, is the time scale at which quantum entanglement between different parts of the radiation becomes extensive, and the fidelity of information recovery for a large diary thrown into the black hole starts to grow. 2023-01-17T13:12:21Z 2023-01-17T13:12:21Z 2023-01-13 2023-01-15T04:10:30Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/147109 Journal of High Energy Physics. 2023 Jan 13;2023(1):64 PUBLISHER_CC en https://doi.org/10.1007/JHEP01(2023)064 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Vardhan, Shreya Kudler-Flam, Jonah Shapourian, Hassan Liu, Hong Mixed-state entanglement and information recovery in thermalized states and evaporating black holes |
| title | Mixed-state entanglement and information recovery in thermalized states and evaporating black holes |
| title_full | Mixed-state entanglement and information recovery in thermalized states and evaporating black holes |
| title_fullStr | Mixed-state entanglement and information recovery in thermalized states and evaporating black holes |
| title_full_unstemmed | Mixed-state entanglement and information recovery in thermalized states and evaporating black holes |
| title_short | Mixed-state entanglement and information recovery in thermalized states and evaporating black holes |
| title_sort | mixed state entanglement and information recovery in thermalized states and evaporating black holes |
| url | https://hdl.handle.net/1721.1/147109 |
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