Dimensional gain in sensing through higher-dimensional quantum spin chain

TL;DR

This paper explores how higher-dimensional quantum spin chains can enhance the precision of magnetic field sensing, revealing that increased dimension and specific interactions improve quantum sensing capabilities.

Contribution

It introduces a framework for using higher-dimensional quantum spin chains as probes for magnetic fields, highlighting the role of dimension and interactions in sensing performance.

Findings

Higher-dimensional spin chains improve sensing precision.

Integer and half-integer spins show distinct sensing behaviors.

Adding next-nearest-neighbor interactions enhances accuracy.

Abstract

Recent breakthroughs in quantum technology pave the way for extensive utilization of higher-dimensional quantum systems, which outperform their qubit counterparts in terms of capabilities and versatility. We present a framework for accurately predicting weak external magnetic fields using a higher-dimensional many-body quantum probe. We demonstrate that dimension serves as a valuable resource for quantum sensing when a transverse spin-s Ising chain interacts locally with a magnetic field whose strength has to be determined. We observe the distinct performance of sensors for spin chains with half-integer and integer spins. Furthermore, we highlight that the time duration appropriate for quantum-enhanced sensing increases with the increase of dimension. Additionally, we observe that, in addition to nearest-neighbor interactions, incorporating interactions between the next nearest-neighbor sites increases sensing precision, particularly for spin chains with integer spins. We also prove the dimensional-dependence of the bound on quantum Fisher information which provides the limit on the precision in estimating parameters.