Related papers: Generalized Measure of Quantum Fisher Information

Generalized Measure of Quantum Fisher Information

URL: http://arxiv.org/abs/2010.02904v4
Date: Thu, 2 Dec 2021 17:31:46 GMT
Title: Generalized Measure of Quantum Fisher Information
Authors: Akira Sone, M. Cerezo, Jacob L. Beckey, Patrick J. Coles
Abstract summary: We present a lower bound on the quantum Fisher information (QFI) which is efficiently computable on near-term quantum devices. We show that it satisfies the canonical criteria of a QFI measure.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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.

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