Multiqubit coherence of mixed states near event horizon

Fuente: arXiv
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Main Authors: Li, Wen-Mei, Lu, Jianbo, Wu, Shu-Min
Format: Preprint
Published: 2025
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author Li, Wen-Mei
Lu, Jianbo
Wu, Shu-Min
author_facet Li, Wen-Mei
Lu, Jianbo
Wu, Shu-Min
contents We investigate the coherence of mixed Greenberger-Horne-Zeilinger (GHZ) and W states for bosonic and fermionic fields when a subset of $n$ ($n<N$) qubits experiences Hawking radiation near a Schwarzschild black hole. Analytical expressions are derived for the coherence of mixed N-qubit systems, including both the physically accessible and inaccessible parts in curved spacetime. The results show that the mixed W state maintains its coherence more effectively than the GHZ state as the Hawking temperature increases, even though its entanglement is weaker. As the number of qubits grows, W-state coherence becomes increasingly resistant to gravitational decoherence. Furthermore, fermionic fields preserve stronger entanglement, while bosonic fields retain higher coherence, highlighting a clear contrast between different particle statistics. These findings demonstrate how the Schwarzschild spacetime reshapes the balance between quantum coherence and entanglement, offering guidance for future relativistic quantum information applications.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07476
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multiqubit coherence of mixed states near event horizon
Li, Wen-Mei
Lu, Jianbo
Wu, Shu-Min
General Relativity and Quantum Cosmology
Quantum Physics
We investigate the coherence of mixed Greenberger-Horne-Zeilinger (GHZ) and W states for bosonic and fermionic fields when a subset of $n$ ($n<N$) qubits experiences Hawking radiation near a Schwarzschild black hole. Analytical expressions are derived for the coherence of mixed N-qubit systems, including both the physically accessible and inaccessible parts in curved spacetime. The results show that the mixed W state maintains its coherence more effectively than the GHZ state as the Hawking temperature increases, even though its entanglement is weaker. As the number of qubits grows, W-state coherence becomes increasingly resistant to gravitational decoherence. Furthermore, fermionic fields preserve stronger entanglement, while bosonic fields retain higher coherence, highlighting a clear contrast between different particle statistics. These findings demonstrate how the Schwarzschild spacetime reshapes the balance between quantum coherence and entanglement, offering guidance for future relativistic quantum information applications.
title Multiqubit coherence of mixed states near event horizon
topic General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2505.07476