Single-Ensemble Multiparameter Squeezing with Qudits
Abstract
Conventional spin squeezing enhances a single sensing channel. Here, we show how internal qudit levels enable simultaneous multiparameter squeezing within one ensemble. In two-component magnetometry, a qutrit sensor provides two orthogonal and weakly compatible channels. A collective twisting interaction squeezes both responses while preserving joint attainability of the ultimate sensitivity. The sensing gain is quantified by using a matrix generalization of the Wineland sensitivity that retains both noise correlations and cross-channel response. An interaction-based echo amplifies the signal to overcome noise from a fixed local joint readout, yielding a simulated 13 dB gain over the product-state standard quantum limit for N=128 qutrits. More generally, we use the single-site quantum Fisher information matrix to select reference states and channel quadratures for prescribed sensing tasks. The tangent geometry permits at most d−1 independent, weakly compatible channels around a common pure reference state for a d-level sensor. Our work provides a constructive task-to-protocol map for multiparameter squeezing in a single qudit ensemble.
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BibTeX
@misc{lin2026singleensemble,
title = {{Single-Ensemble Multiparameter Squeezing with Qudits}},
author = {Xiaoshui Lin and Chunlei Qu and Chong Zu and Chuanwei Zhang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.26377},
eprint = {2605.26377},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.26377},
}
RIS
TY - UNPB
TI - Single-Ensemble Multiparameter Squeezing with Qudits
AU - Xiaoshui Lin
AU - Chunlei Qu
AU - Chong Zu
AU - Chuanwei Zhang
PY - 2026
DA - 2026/09/19
PB - arXiv
DO - 10.48550/arxiv.2605.26377
UR - https://arxiv.org/abs/2605.26377
AB - Conventional spin squeezing enhances a single sensing channel. Here, we show how internal qudit levels enable simultaneous multiparameter squeezing within one ensemble. In two-component magnetometry, a qutrit sensor provides two orthogonal and weakly compatible channels. A collective twisting interaction squeezes both responses while preserving joint attainability of the ultimate sensitivity. The sensing gain is quantified by using a matrix generalization of the Wineland sensitivity that retains both noise correlations and cross-channel response. An interaction-based echo amplifies the signal to overcome noise from a fixed local joint readout, yielding a simulated 13 dB gain over the product-state standard quantum limit for N=128 qutrits. More generally, we use the single-site quantum Fisher information matrix to select reference states and channel quadratures for prescribed sensing tasks. The tangent geometry permits at most d−1 independent, weakly compatible channels around a common pure reference state for a d-level sensor. Our work provides a constructive task-to-protocol map for multiparameter squeezing in a single qudit ensemble.
ER -