Fermionic Genuine Multiparty Entanglement
Abstract
Entanglement can show fundamentally different behavior in fermionic systems. However, while bipartite measures of fermionic entanglement have been established, genuine multiparty entanglement (GME) in fermionic systems is much less understood. We introduce an efficiently computable measure (via semi-definite programming) of fermionic GME, fermion genuine multiparty negativity (fGMN), and show that it is an entanglement monotone and a natural multipartite extension of the fermionic negativity. Using this measure, we find many states which have fGMN but no non-fermionic GME, including large classes of fermionic stabilizer states. The fGMN also displays some major phenomenological differences to the bipartite fermionic negativity, such as finite sudden death points over separation and temperature.
Related
- Genuine Multipartite Nonlocality Is Fermionic Magic
- Beyond Maximal Entanglement: Exact Resources for Multiparty Encrypted Quantum Cloning
- Catalytic Activation of Genuine Multipartite Entanglement and Nonlocality
- Do gravitational waves assist the genuine tripartite entanglement harvesting?
- Minimal Subsystems for Characterizing Genuine Multipartite Entanglement
BibTeX
@misc{allen2026fermionic,
title = {{Fermionic Genuine Multiparty Entanglement}},
author = {James Allen and Liuke Lyu and William Witczak-Krempa},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.20707},
eprint = {2607.20707},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.20707},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Fermionic Genuine Multiparty Entanglement
AU - James Allen
AU - Liuke Lyu
AU - William Witczak-Krempa
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2607.20707
UR - https://arxiv.org/abs/2607.20707
AB - Entanglement can show fundamentally different behavior in fermionic systems. However, while bipartite measures of fermionic entanglement have been established, genuine multiparty entanglement (GME) in fermionic systems is much less understood. We introduce an efficiently computable measure (via semi-definite programming) of fermionic GME, fermion genuine multiparty negativity (fGMN), and show that it is an entanglement monotone and a natural multipartite extension of the fermionic negativity. Using this measure, we find many states which have fGMN but no non-fermionic GME, including large classes of fermionic stabilizer states. The fGMN also displays some major phenomenological differences to the bipartite fermionic negativity, such as finite sudden death points over separation and temperature.
ER -