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Entanglement Criteria Based on Quantum Fisher Information

Quantum Physics 2024-10-28 v2

Abstract

To optimize the entanglement detection, we formulate the metrologically operational entanglement condition in quantum Fisher information by maximizing the QFI on the measurement orbit. Specifically, we consider two classes of typical local observables, i.e. the local orthonormal observables and symmetric informationally complete positive operator-valued measures. Result shows that the symmetric informationally complete positive operator-valued measures are superior to local orthonormal observables in entanglement detection, which in some sense hints the yet unconfirmed generally superiority of symmetric informationally complete positive operator-valued measures in quantum information processing.

Keywords

Cite

@article{arxiv.2407.15413,
  title  = {Entanglement Criteria Based on Quantum Fisher Information},
  author = {Ao-Xiang Liu and Ma-Cheng Yang and Cong-Feng Qiao},
  journal= {arXiv preprint arXiv:2407.15413},
  year   = {2024}
}

Comments

20 pages, 3 figures. Close to the published version