Entanglement detection via third-order local invariants from randomized measurements
Quantum Physics
2025-06-25 v2
Abstract
We compute all third-order local invariants accessible via randomised measurements and employ them to derive separability criteria. The reconstruction of the invariants yields experimentally accessible entanglement criteria for multipartite states with arbitrary local dimensions. The results show that third-order invariants capture inter-subsystem correlations beyond second-order spectral criteria within more feasible entanglement detection protocols than full tomography. As an example, Werner states in the entanglement is detected for at the second-order correlations, and it is improved to at the third-order.
Cite
@article{arxiv.2506.18303,
title = {Entanglement detection via third-order local invariants from randomized measurements},
author = {Giovanni Scala and Anindita Bera and Gniewomir Sarbicki},
journal= {arXiv preprint arXiv:2506.18303},
year = {2025}
}