Nonlocal effects via Local Quantum Fisher Information: Characterizations and Interpretations
Abstract
We introduce a quantum Fisher information based measurement-induced nonlocality (QFI-MIN), which quantifies the maximal statistical distinguishability induced by locally invariant unitary dynamics. The proposed measure inherits desirable properties including positivity, local unitary invariance, monotonicity under local operations, and immunity to the local ancilla problem. Analytical expressions are obtained for pure states, arbitrary two-qubit states, and two-qubit X states, revealing a direct connection with entanglement for pure systems. We further establish clear operational interpretations of QFI-MIN in quantum parameter estimation, local channel discrimination, and correlation-assisted communication. Its behavior under amplitude damping, depolarizing, and generalized amplitude damping channels demonstrates robustness against environmental noise. The proposed framework provides a physically consistent and operationally meaningful quantifier of quantum correlations, linking nonlocality, quantum metrology, and quantum information processing
Versions
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BibTeX
@misc{muthuganesan2026nonlocal,
title = {{Nonlocal effects via Local Quantum Fisher Information: Characterizations and Interpretations}},
author = {R. Muthuganesan},
howpublished = {arXiv},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2606.29795},
eprint = {2606.29795},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.29795},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nonlocal effects via Local Quantum Fisher Information: Characterizations and Interpretations
AU - R. Muthuganesan
PY - 2026
DA - 2026/06/29
PB - arXiv
DO - 10.48550/arxiv.2606.29795
UR - https://arxiv.org/abs/2606.29795
AB - We introduce a quantum Fisher information based measurement-induced nonlocality (QFI-MIN), which quantifies the maximal statistical distinguishability induced by locally invariant unitary dynamics. The proposed measure inherits desirable properties including positivity, local unitary invariance, monotonicity under local operations, and immunity to the local ancilla problem. Analytical expressions are obtained for pure states, arbitrary two-qubit states, and two-qubit X states, revealing a direct connection with entanglement for pure systems. We further establish clear operational interpretations of QFI-MIN in quantum parameter estimation, local channel discrimination, and correlation-assisted communication. Its behavior under amplitude damping, depolarizing, and generalized amplitude damping channels demonstrates robustness against environmental noise. The proposed framework provides a physically consistent and operationally meaningful quantifier of quantum correlations, linking nonlocality, quantum metrology, and quantum information processing
ER -