Scientists Reach Limit of Multi-Parameter Quantum Measurement With Zero Trade-Off

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Multi-Parameter Quantum Measurement

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There are 3 modules in the experiment: state preparation, development, and measurement. Credit: HOU Zhibo et al.

Real-life applications like magnetometry or quantum gyroscope usually include accurate measurement on numerous criteria. How to accomplish the supreme accuracy limitations all at once is a long in-demand grail in the field.

It is commonly thought that the supreme accuracy limitations for all criteria cannot be attained all at once, considering that generators of various criteria are usually non-commuting, which causes the compromises amongst the accuracies.

Yet such compromises are left from by the group of Prof. LI Chuanfeng and Prof. XIANG Guoyong from Key Laboratory of Quantum Information at University of Science and Technology of China of the Chinese Academy of Sciences and their partner Prof. YUAN Haidong from Chinese University of Hongkong.

They combated the compromises and attained the accuracy limitation for the estimate of all 3 criteria in SU(2) operators all at once with 13.27 dB enhancement over the shot-noise limitation, which has actually been released in journal Science Advances.

XIANG and scientists extended the control-enhanced consecutive measurement plan from single-parameter estimate to multi-parameter estimate.

They associated the synchronised multi-parameter quantum estimate straight to the Heisenberg unpredictability relations and revealed that to accomplish the accuracy limitation for numerous criteria all at once needs the synchronised saturation of the minimum unpredictability in numerous Heisenberg unpredictability relations.

As the very first speculative presentation of multi-parameter quantum estimate with no compromise, the work exposes the deep connection in between quantum metrology and the Heisenberg unpredictability concept and marks an important action towards attaining the supreme accuracy of multi-parameter quantum estimate.

XIANG’s group have actually been committed to neutralizing the compromises in multi-parameter estimate. They very first established brand-new speculative measurement strategies of cumulative measurements, which effectively minimized the compromises in quantum state tomography and quantum orienteering . Then they enhanced the knotted probe states in quantum magnetometry and acquired the supreme accuracy limitation for 3 magnetic elements with minimum compromises. Though lessened, the compromises still exist in these previous works.

Reference: “Zero–trade-off multiparameter quantum estimation via simultaneously saturating multiple Heisenberg uncertainty relations” by Zhibo Hou, Jun-Feng Tang, Hongzhen Chen, Haidong Yuan, Gou-Yong Xiang, Chuan-Feng Li and Guang-Can Guo, 1 January 2021, Science Advances.
DOI: 10.1126/sciadv.abd2986