Exact teleportation bounds for fermionic Hawking thermality beyond the single-mode approximation
Abstract
Fermionic teleportation near a Schwarzschild horizon involves two physically distinct ingredients that are often varied together: Hawking thermal mixing and the relative composition of the right and left Unruh modes. We separate them by factorizing the reduced map of the detected exterior fermionic mode into a mode-preparation channel and a Hawking thermal channel. At fixed right-left Unruh-mode composition, we then solve a global constrained quantum-channel optimization over all two-qubit resource states whose fully entangled fraction remains at or below the standard teleportation threshold immediately before thermal mixing. A parity twirl and positivity reduce the arbitrary-state problem exactly to a two-variable quadratic optimization. The solution yields a necessary-and-sufficient activation boundary, a second exact boundary for attaining the universal optimum, and explicit optimizing states. The resulting phase diagram contains a strict no-go region, a composition-limited activation region, and a universal-bound region. The analysis converts state-specific observations of Hawking-assisted teleportation into exact channel-level bounds over the full two-qubit state space.
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BibTeX
@misc{huang2026exact,
title = {{Exact teleportation bounds for fermionic Hawking thermality beyond the single-mode approximation}},
author = {Zhiming Huang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05773},
eprint = {2611.05773},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05773},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Exact teleportation bounds for fermionic Hawking thermality beyond the single-mode approximation
AU - Zhiming Huang
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.05773
UR - https://arxiv.org/abs/2611.05773
AB - Fermionic teleportation near a Schwarzschild horizon involves two physically distinct ingredients that are often varied together: Hawking thermal mixing and the relative composition of the right and left Unruh modes. We separate them by factorizing the reduced map of the detected exterior fermionic mode into a mode-preparation channel and a Hawking thermal channel. At fixed right-left Unruh-mode composition, we then solve a global constrained quantum-channel optimization over all two-qubit resource states whose fully entangled fraction remains at or below the standard teleportation threshold immediately before thermal mixing. A parity twirl and positivity reduce the arbitrary-state problem exactly to a two-variable quadratic optimization. The solution yields a necessary-and-sufficient activation boundary, a second exact boundary for attaining the universal optimum, and explicit optimizing states. The resulting phase diagram contains a strict no-go region, a composition-limited activation region, and a universal-bound region. The analysis converts state-specific observations of Hawking-assisted teleportation into exact channel-level bounds over the full two-qubit state space.
ER -