Quantum Metrology with Topological Edge States
Analysis
This paper explores the use of topological phase transitions and edge states for quantum sensing. It highlights two key advantages: the sensitivity scaling with system size is determined by the order of band touching, and the potential to generate macroscopic entanglement for enhanced metrology. The work suggests engineering higher-order band touching and leveraging degenerate edge modes to improve quantum Fisher information.
Key Takeaways
- •Exploits topological phase transitions for quantum sensing.
- •Sensitivity scales with system size based on the order of band touching.
- •Suggests engineering higher-order band touching for improved sensitivity.
- •Utilizes degenerate edge modes to generate macroscopic entanglement.
- •Offers a route to harness entanglement, large lattice size, and high-order band touching for quantum metrology.
Reference
“The quantum Fisher information scales as $ \mathcal{F}_Q \sim L^{2p}$ (with L the lattice size and p the order of band touching) and $\mathcal{F}_Q \sim N^2 L^{2p}$ (with N the number of particles).”