Multiqubit coherence of mixed states near event horizon

• URL: http://arxiv.org/abs/2505.07476v1
• Date: Mon, 12 May 2025 12:08:45 GMT
• Title: Multiqubit coherence of mixed states near event horizon
• Authors: Wen-Mei Li, Jianbo Lu, Shu-Min Wu,
• Abstract summary: In Schwarzschild spacetime, fermionic fields show stronger multiqubit entanglement, while bosonic fields show greater multiqubit coherence.<n>Our study reveals how Schwarzschild spacetime reshapes quantum resource trade-offs across states, statistics, and correlations.
• Score: 1.8311148945110534
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study physically accessible and inaccessible N-qubit coherence of the mixed Greenberger-Horne-Zeilinger (GHZ) and W states for bosonic and fermionic fields when any $n$ ($n<N$) qubits hover over the Schwarzschild black hole. We derive a comprehensive analytical expression for the coherence of mixed N-qubit systems, taking into account both accessible and inaccessible components in the curved spacetime background. Notably, as the number of qubits increases in the mixed W state, its coherence becomes more robust against the degrading effects of Hawking radiation, even as entanglement becomes more fragile. Moreover, with increasing Hawking temperature, W-state coherence surpasses that of the GHZ state, while the entanglement of the W state remains consistently weaker than that of the GHZ state. Interestingly, in Schwarzschild spacetime, fermionic fields exhibit stronger multiqubit entanglement, while bosonic fields show greater multiqubit coherence, revealing a fundamental contrast in their behavior under strong gravity. Our study reveals how Schwarzschild spacetime reshapes quantum resource trade-offs across states, statistics, and correlations, guiding relativistic quantum information tasks.

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