Entanglement advantage in sensing power-law spatiotemporal noise correlations

TL;DR

This paper investigates the fundamental limits of quantum sensors in detecting spatiotemporal noise correlations, revealing how entanglement provides advantages especially for power-law decaying correlations and non-Markovian noise.

Contribution

It derives the quantum sensitivity bounds for sensing correlated noise and demonstrates a scalable entanglement advantage for power-law spatial correlations.

Findings

Entanglement enhances sensitivity in sensing power-law correlated noise.

Non-Markovian effects can alter the entanglement advantage.

Scalable protocols are feasible with current quantum sensing platforms.

Abstract

Noise sensing underlies many physical applications including tests of non-classicality, thermometry, verification of correlated phases of quantum matter, and characterization of criticality. While previous works have shown that quantum resources such as entanglement and squeezing can enhance the sensitivity in estimating deterministic signals, less is known about the entanglement advantage in sensing correlated stochastic signals (noise). In this work, we compute the fundamental sensitivity limits of quantum sensors in probing spatiotemporally correlated noise. We first prove the fundamental quantum limits in sensing spatially correlated Markovian noise using entangled and unentangled sensors, respectively. Focusing on power-law spatial noise correlations, which naturally arise in condensed matter systems with long-range interactions and/or near criticality, we further derive a scalable entanglement advantage when the power-law decays slowly. Then, considering a target signal with a $1/f^{p}$-type spectrum, we demonstrate that non-Markovianity may entirely modify the nature of entanglement advantage in estimating spatial noise correlations. Our protocols can be implemented using state-of-the-art quantum sensing platforms including solid-state defects, superconducting circuits, and neutral atoms.