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.

v4: close to published version

References in corpus (11)

• Variational Quantum Algorithms
• High-sensitivity diamond magnetometer with nanoscale resolution
• Quantum metrology from a quantum information science perspective
• Observable measure of quantum coherence in finite dimensional systems
• Variational Quantum State Eigensolver
• A variational toolbox for quantum multi-parameter estimation
• Variational Quantum Algorithm for Estimating the Quantum Fisher Information
• Geometric distinguishability measures limit quantum channel estimation and discrimination
• Optimal estimation and discrimination of excess noise in thermal and amplifier channels
• Subnormalized states and trace-nonincreasing maps
• Quantum monotone metrics induced from trace non-increasing maps and additive noise

Cited by in corpus (8)

• Fisher Information in Noisy Intermediate-Scale Quantum Applications
• Variational Quantum Algorithm for Estimating the Quantum Fisher Information
• Optimal Probes for Global Quantum Thermometry
• 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