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Related Experiment Video

Updated: Mar 8, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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Published on: September 8, 2023

Optimal Quantum Metrology under Energy Constraints.

Longyun Chen¹, Yuxiang Yang¹

¹The University of Hong Kong, QICI Quantum Information and Computation Initiative, School of Computing and Data Science, Pokfulam Road, Hong Kong SAR, China.

Physical Review Letters

|March 6, 2026

Summary

This study explores energy-constrained quantum metrology, developing a method to optimize precision under resource limitations. It reveals quantum superpositions of causal orders enhance energy efficiency in adaptive estimation.

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Area of Science:

Quantum physics
Metrology
Information science

Background:

Traditional quantum metrology often ignores resource constraints, leading to impractical optimal strategies.
Realistic quantum sensing and estimation tasks face limitations in energy consumption.

Purpose of the Study:

To investigate quantum metrology under energy constraints.
To develop a general optimization method for energy-constrained quantum processes.
To determine the ultimate precision limits and identify strategies for energy-efficient quantum estimation.

Main Methods:

Established a theoretical framework for characterizing energy-constrained multistep quantum processes.
Developed a general optimization method to determine optimal precision and strategy.
Applied the method to energy-constrained phase estimation.

Main Results:

Determined the ultimate precision limit for energy-constrained phase estimation.
Identified a novel advantage of quantum superpositions of causal orders.
Demonstrated enhanced energy efficiency in adaptive quantum estimation using these superpositions.

Conclusions:

Resource constraints, particularly energy, are crucial in practical quantum metrology.
The developed optimization method provides a pathway to feasible and efficient quantum estimation strategies.
Quantum superpositions of causal orders offer a promising avenue for improving the energy efficiency of quantum technologies.