Entanglement Criteria Based on Quantum Fisher Information

TL;DR

This paper develops an entanglement detection method based on quantum Fisher information, demonstrating that symmetric informationally complete measurements outperform local orthonormal observables, with implications for quantum information processing.

Contribution

It formulates a metrologically operational entanglement criterion using quantum Fisher information and compares the effectiveness of different measurement classes.

Findings

SIC-POVMs outperform local orthonormal observables in entanglement detection.

The results suggest SIC-POVMs may have a general superiority in quantum information tasks.

The method enhances entanglement detection by optimizing over measurement orbits.

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.