TY - JOUR
T1 - Inertia Sets of Three-qubit Entanglement Witnesses
AU - Yu, Qianying
AU - Chen, Lin
AU - Liang, Mengfan
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.
PY - 2025/4
Y1 - 2025/4
N2 - Mutiqubit entanglement witnesses are essential in the verification of quantum entanglement of distributed systems. To characterize such witnesses, we investigate the inertia set of three partial transposed matrices of three-qubit entangled states, which are not positive semidefinite. Theoretically, there are totally 165 elements in the set, and we show some of them by constructing exactly their expressions. Our method relies on both theoretical analysis and program for numerical computing. We also apply our results to describe some physical systems from flavor neutrino systems.
AB - Mutiqubit entanglement witnesses are essential in the verification of quantum entanglement of distributed systems. To characterize such witnesses, we investigate the inertia set of three partial transposed matrices of three-qubit entangled states, which are not positive semidefinite. Theoretically, there are totally 165 elements in the set, and we show some of them by constructing exactly their expressions. Our method relies on both theoretical analysis and program for numerical computing. We also apply our results to describe some physical systems from flavor neutrino systems.
UR - https://www.scopus.com/pages/publications/105000476469
U2 - 10.1007/s10773-025-05956-0
DO - 10.1007/s10773-025-05956-0
M3 - 文章
AN - SCOPUS:105000476469
SN - 0020-7748
VL - 64
JO - International Journal of Theoretical Physics
JF - International Journal of Theoretical Physics
IS - 4
M1 - 87
ER -