Generalized Measure of Quantum Fisher Information

Abstract

In this work, we present a lower bound on the quantum Fisher information (QFI) which is efficiently computable on near-term quantum devices. This bound itself is of interest, as we show that it satisfies the canonical criteria of a QFI measure. Specifically, it is essentially a QFI measure for subnormalized states, and hence it generalizes the standard QFI in this sense. Our bound employs the generalized fidelity applied to a truncated state, which is constructed via the $m$ largest eigenvalues and their corresponding eigenvectors of the probe quantum state ${\rho }_{\theta }$. Focusing on unitary families of exact states, we analyze the properties of our proposed lower bound, and demonstrate its utility for efficiently estimating the QFI.

arXiv commentv4: close to published version

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• Variational Quantum Algorithm for Estimating the Quantum Fisher Information
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• Sub-Quantum Fisher Information
• Inference-Based Quantum Sensing
• Optimal protocols for quantum metrology with noisy measurements
• Time-energy uncertainty relation for noisy quantum metrology
• Variational certification of quantum devices