Dimensional gain in sensing through higher-dimensional quantum spin chain

• URL: http://arxiv.org/abs/2401.14853v1
• Date: Fri, 26 Jan 2024 13:35:21 GMT
• Title: Dimensional gain in sensing through higher-dimensional quantum spin chain
• Authors: Shivansh Singh, Leela Ganesh Chandra Lakkaraju, Srijon Ghosh, Aditi Sen De
• Abstract summary: We present a framework for accurately predicting weak external magnetic fields using a higher-dimensional many-body quantum probe. We observe the distinct performance of sensors for spin chains with half-integer and integer spins. In addition to nearest-neighbor interactions, incorporating interactions between the next nearest-neighbor sites increases sensing precision.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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