Continuous-variable graph states for quantum metrology

TL;DR

This paper explores how continuous-variable graph states can be used for quantum metrology, demonstrating optimal states and Heisenberg-limited precision for phase and displacement sensing with local measurements.

Contribution

It introduces the use of continuous-variable graph states for quantum metrology and identifies optimal states achieving Heisenberg scaling with local measurements.

Findings

Optimal graph states for phase and displacement sensing identified

Heisenberg scaling of accuracy achieved with local homodyne measurements

Theoretical framework for continuous-variable graph state metrology established

Abstract

Graph states are a unique resource for quantum information processing, such as measurement-based quantum computation. Here, we theoretically investigate using continuous-variable graph states for single-parameter quantum metrology, including both phase and displacement sensing. We identified the optimal graph states for the two sensing modalities and showed that Heisenberg scaling of the accuracy for both phase and displacement sensing can be achieved with local homodyne measurements.