Fermionic steering in multi-event horizon spacetime

Abstract We investigate quantum steering of Dirac field for different types of Bell states in Schwarzschild–de Sitter (SdS) spacetime that has a black hole event horizon (BEH) and a cosmological event horizon (CEH). We find that fermionic steerability from Bob to Alice is greater than fermionic stee...

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Main Authors: Shu-Min Wu, Jin-Xuan Li, Yu-Xuan Wang, Si-Han Shang, Jianbo Lu
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13774-1
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author Shu-Min Wu
Jin-Xuan Li
Yu-Xuan Wang
Si-Han Shang
Jianbo Lu
author_facet Shu-Min Wu
Jin-Xuan Li
Yu-Xuan Wang
Si-Han Shang
Jianbo Lu
author_sort Shu-Min Wu
collection DOAJ
description Abstract We investigate quantum steering of Dirac field for different types of Bell states in Schwarzschild–de Sitter (SdS) spacetime that has a black hole event horizon (BEH) and a cosmological event horizon (CEH). We find that fermionic steerability from Bob to Alice is greater than fermionic steerability from Alice to Bob, while bosonic steerability exhibits the opposite behavior in SdS spacetime. These different properties between fermionic and bosonic steering arise from the differences between Fermi–Dirac statistics and Bose–Einstein statistics. We also find that the Hawking effect of the black hole decreases fermionic steerability. However, the Hawking effect of the expanding universe can enhance fermionic steerability, which differs from the properties of quantum steering in single-event horizon spacetime. Interestingly, we can indirectly protect quantum steering by using appropriate types of Bell states in multi-event horizon spacetime. These conclusions are helpful to guide the task of processing relativistic quantum information for quantum steering in SdS spacetime.
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institution Kabale University
issn 1434-6052
language English
publishDate 2025-01-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-2a130495133a4dedabe24769206bdacc2025-01-26T12:49:45ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111110.1140/epjc/s10052-025-13774-1Fermionic steering in multi-event horizon spacetimeShu-Min Wu0Jin-Xuan Li1Yu-Xuan Wang2Si-Han Shang3Jianbo Lu4Department of Physics, Liaoning Normal UniversityDepartment of Physics, Liaoning Normal UniversityDepartment of Physics, Liaoning Normal UniversityDepartment of Physics, Liaoning Normal UniversityDepartment of Physics, Liaoning Normal UniversityAbstract We investigate quantum steering of Dirac field for different types of Bell states in Schwarzschild–de Sitter (SdS) spacetime that has a black hole event horizon (BEH) and a cosmological event horizon (CEH). We find that fermionic steerability from Bob to Alice is greater than fermionic steerability from Alice to Bob, while bosonic steerability exhibits the opposite behavior in SdS spacetime. These different properties between fermionic and bosonic steering arise from the differences between Fermi–Dirac statistics and Bose–Einstein statistics. We also find that the Hawking effect of the black hole decreases fermionic steerability. However, the Hawking effect of the expanding universe can enhance fermionic steerability, which differs from the properties of quantum steering in single-event horizon spacetime. Interestingly, we can indirectly protect quantum steering by using appropriate types of Bell states in multi-event horizon spacetime. These conclusions are helpful to guide the task of processing relativistic quantum information for quantum steering in SdS spacetime.https://doi.org/10.1140/epjc/s10052-025-13774-1
spellingShingle Shu-Min Wu
Jin-Xuan Li
Yu-Xuan Wang
Si-Han Shang
Jianbo Lu
Fermionic steering in multi-event horizon spacetime
European Physical Journal C: Particles and Fields
title Fermionic steering in multi-event horizon spacetime
title_full Fermionic steering in multi-event horizon spacetime
title_fullStr Fermionic steering in multi-event horizon spacetime
title_full_unstemmed Fermionic steering in multi-event horizon spacetime
title_short Fermionic steering in multi-event horizon spacetime
title_sort fermionic steering in multi event horizon spacetime
url https://doi.org/10.1140/epjc/s10052-025-13774-1
work_keys_str_mv AT shuminwu fermionicsteeringinmultieventhorizonspacetime
AT jinxuanli fermionicsteeringinmultieventhorizonspacetime
AT yuxuanwang fermionicsteeringinmultieventhorizonspacetime
AT sihanshang fermionicsteeringinmultieventhorizonspacetime
AT jianbolu fermionicsteeringinmultieventhorizonspacetime