Quantum Metrology via Floquet-Engineered Two-axis Twisting and Turn Dynamics

TL;DR

This paper demonstrates a rapid method to generate GHZ-like states using Floquet-engineered two-axis twisting and turn dynamics, achieving near-Heisenberg limit precision in quantum metrology with enhanced robustness and efficient readout protocols.

Contribution

It introduces a novel Floquet-engineered approach for fast GHZ-like state generation and measurement in quantum metrology, surpassing previous methods in speed and noise resilience.

Findings

GHZ-like states produced in time proportional to ln(N)/N

Quantum Fisher information approaches the Heisenberg limit, proportional to N^2

Floquet-engineered anti-TAT-and-turn enables efficient, noise-resistant readout

Abstract

One core of quantum metrology is the utilization of entanglement to enhance measurement precision beyond the standard quantum limit. Here, we utilize the Floquet-engineered two-axis twisting (TAT) and turn dynamics to generate GHZ-like states for quantum metrology. Using both analytical semi-classical and quantum approaches, we find that the desired $N$-particle GHZ-like state can be produced in a remarkably short time $t_\mathrm{opt}\propto \ln{N}/{N}$, and its quantum Fisher information $F^\mathrm{opt}_\mathrm{Q}\propto N^2$ approaches the Heisenberg limit. Owing to the rapid state preparation, it shows outstanding robustness against decoherence. Moreover, using the Floquet-engineered anti-TAT-and-turn, one may implement an efficient interaction-based readout protocol to extract the signal encoded in this GHZ-like state. This Floquet-engineered anti-TAT-and-turn approach offers a viable method to achieve effective time-reversal dynamics to improve measurement precision and resilience against detection noise, all without the need to invert the sign of the nonlinear interaction. This study paves a way for achieving entanglement-enhanced quantum metrology via rapid generation of GHZ-like states at high particle numbers through continuous Floquet engineering.