Dimensional gain in sensing through higher-dimensional quantum spin chain

Fuente: arXiv
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Autores principales: Singh, Shivansh, Lakkaraju, Leela Ganesh Chandra, Ghosh, Srijon, De, Aditi Sen
Formato: Preprint
Publicado: 2024
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author Singh, Shivansh
Lakkaraju, Leela Ganesh Chandra
Ghosh, Srijon
De, Aditi Sen
author_facet Singh, Shivansh
Lakkaraju, Leela Ganesh Chandra
Ghosh, Srijon
De, Aditi Sen
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_14853
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dimensional gain in sensing through higher-dimensional quantum spin chain
Singh, Shivansh
Lakkaraju, Leela Ganesh Chandra
Ghosh, Srijon
De, Aditi Sen
Quantum Physics
Strongly Correlated Electrons
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.
title Dimensional gain in sensing through higher-dimensional quantum spin chain
topic Quantum Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2401.14853