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arXiv · 2401.14853

Dimensional gain in sensing through higher-dimensional quantum spin chain

Shivansh Singh·Leela Ganesh Chandra Lakkaraju·Srijon Ghosh·Aditi Sen De
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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.

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Shivansh Singh, Leela Ganesh Chandra Lakkaraju, Srijon Ghosh, Aditi Sen De. 2024-01-26. Dimensional gain in sensing through higher-dimensional quantum spin chain. https://arxiv.org/abs/2401.14853

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