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PreprintarXiv licencearXiv

Kempe-Invariant Ordering of Three-Qubit Pairwise Entanglement under Local Depolarization

  • Wei Song
  • Xiao-Lan Zong
  • Ming Yang
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Abstract

Pure three-qubit states with the same pairwise concurrences and three-tangle can still have different Kempe invariants. We show that the Kempe invariant orders the entanglement dynamics of all three pairs under identical, independent local depolarizing channels, with smaller values giving greater robustness. The same ordering also holds for the sum of squared pairwise entanglements of formation and the sudden-death thresholds of pairwise entanglement.

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Cite

BibTeXRIS
BibTeX
@misc{song2026kempeinvariant,
  title = {{Kempe-Invariant Ordering of Three-Qubit Pairwise Entanglement under Local Depolarization}},
  author = {Wei Song and Xiao-Lan Zong and Ming Yang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.29707},
  eprint = {2608.29707},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29707},
}
RIS
TY  - UNPB
TI  - Kempe-Invariant Ordering of Three-Qubit Pairwise Entanglement under Local Depolarization
AU  - Wei Song
AU  - Xiao-Lan Zong
AU  - Ming Yang
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2608.29707
UR  - https://arxiv.org/abs/2608.29707
AB  - Pure three-qubit states with the same pairwise concurrences and three-tangle can still have different Kempe invariants. We show that the Kempe invariant orders the entanglement dynamics of all three pairs under identical, independent local depolarizing channels, with smaller values giving greater robustness. The same ordering also holds for the sum of squared pairwise entanglements of formation and the sudden-death thresholds of pairwise entanglement.
ER  -