Stabilizing temporal quantum-enhanced sensitivity via sub-optimal measurements
Abstract
In non-equilibrium probes, quantum-enhanced sensitivity is quantified through super-linear scaling of precision with respect to time, as a central metrology resource. However, this requires optimal measurements, which are often complex and time-dependent, making it challenging in practice. Sub-optimal measurements typically fail to retain robust super-linear scaling and show oscillations. Here, we begin by establishing a universal temporal scaling law in a general multi-parameter non-equilibrium quantum sensing framework. Within this setting, we identify the universal behavior of the sensing precision with sub-optimal measurements which shows quadratic scaling modulated by an additional bounded oscillatory function. To remove the oscillatory part, we propose a protocol in which measurements are partitioned into different groups, each performed at different times. The collective precision obtained from this protocol stabilizes a robust quadratic scaling even for sub-optimal measurements in the multi-parameter regime. We validate our protocol through three distinct examples as well as Bayesian estimation. Our protocol is applicable to every informative measurement and takes a key step towards practical realization of quantum-enhanced sensitivity.
Related
- Quantum enhanced beam displacement estimation: sensitivity limits, optimal probes, and measurement schemes
- Enhanced measurements on quantum computers via the simultaneous probing of non-commuting Pauli operators
- Temporal limitations and digital data processing in continuous variable measurements of non-Gaussian states
- Recoil-enhanced temporal electron compression
- Vibration-resistant temporal phase-shifting interferometry with enhanced amplitude–frequency product tolerance
BibTeX
@misc{zheng2026stabilizing,
title = {{Stabilizing temporal quantum-enhanced sensitivity via sub-optimal measurements}},
author = {Wangsheng Zheng and Yaoling Yang and Abolfazl Bayat},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24805},
eprint = {2609.24805},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24805},
}
RIS
TY - UNPB
TI - Stabilizing temporal quantum-enhanced sensitivity via sub-optimal measurements
AU - Wangsheng Zheng
AU - Yaoling Yang
AU - Abolfazl Bayat
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24805
UR - https://arxiv.org/abs/2609.24805
AB - In non-equilibrium probes, quantum-enhanced sensitivity is quantified through super-linear scaling of precision with respect to time, as a central metrology resource. However, this requires optimal measurements, which are often complex and time-dependent, making it challenging in practice. Sub-optimal measurements typically fail to retain robust super-linear scaling and show oscillations. Here, we begin by establishing a universal temporal scaling law in a general multi-parameter non-equilibrium quantum sensing framework. Within this setting, we identify the universal behavior of the sensing precision with sub-optimal measurements which shows quadratic scaling modulated by an additional bounded oscillatory function. To remove the oscillatory part, we propose a protocol in which measurements are partitioned into different groups, each performed at different times. The collective precision obtained from this protocol stabilizes a robust quadratic scaling even for sub-optimal measurements in the multi-parameter regime. We validate our protocol through three distinct examples as well as Bayesian estimation. Our protocol is applicable to every informative measurement and takes a key step towards practical realization of quantum-enhanced sensitivity.
ER -