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PreprintarXiv licencearXiv

Performance of quantum imaginarity in black hole spacetime

  • Shiyan Li
  • Yimei Yuan
  • Xiaofen Huang
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Abstract

Quantum imaginarity is a fundamental quantum resource essential for quantum information processing. In this paper, we investigate the dynamical evolution behavior of quantum imaginarity for tripartite quantum mixed states in Schwarzschild spacetime. We find that Hawking radiation degrades the quantum resource of imaginarity, consistent with the behavior of entanglement and coherence under the Hawking effect. Interestingly, imaginarity exhibits a sharp change in the early stage of Hawking radiation, after which it varies slowly and asymptotically approaches a steady value. We further derive several trade-off relations that characterize the nonlocal redistribution of imaginarity across Rindler horizons. The findings of this study contribute to a deeper understanding of quantum resource behaviors in black hole spacetimes.

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Cite

BibTeXRIS
BibTeX
@misc{li2026performance,
  title = {{Performance of quantum imaginarity in black hole spacetime}},
  author = {Shiyan Li and Yimei Yuan and Xiaofen Huang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00573},
  eprint = {2609.00573},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00573},
}
RIS
TY  - UNPB
TI  - Performance of quantum imaginarity in black hole spacetime
AU  - Shiyan Li
AU  - Yimei Yuan
AU  - Xiaofen Huang
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00573
UR  - https://arxiv.org/abs/2609.00573
AB  - Quantum imaginarity is a fundamental quantum resource essential for quantum information processing. In this paper, we investigate the dynamical evolution behavior of quantum imaginarity for tripartite quantum mixed states in Schwarzschild spacetime. We find that Hawking radiation degrades the quantum resource of imaginarity, consistent with the behavior of entanglement and coherence under the Hawking effect. Interestingly, imaginarity exhibits a sharp change in the early stage of Hawking radiation, after which it varies slowly and asymptotically approaches a steady value. We further derive several trade-off relations that characterize the nonlocal redistribution of imaginarity across Rindler horizons. The findings of this study contribute to a deeper understanding of quantum resource behaviors in black hole spacetimes.
ER  -