Related Experiment Video
Updated: Mar 8, 2026
12:19
Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
Published on: April 4, 2017
8.9K
Quantum Cramér-Rao Precision Limit of Noisy Continuous Sensing.
Dayou Yang1,2,3, Moulik Ketkar3,4, Koenraad Audenaert3
1University of Science and Technology of China, Hefei National Laboratory, Hefei 230088, China.
Physical Review Letters
|March 6, 2026
Summary
We developed a new method to calculate the precision limits of quantum sensors affected by environmental noise. This helps improve sensor performance in real-world applications.
Area of Science:
- Quantum physics
- Quantum sensing
- Precision measurement
Background:
- Quantum sensors offer high precision but are limited by environmental noise.
- Characterizing optimal precision for continuously monitored quantum sensors with complex noise is a theoretical challenge.
Purpose of the Study:
- To establish a numerically efficient method for determining the quantum Cramér-Rao bound for continuously monitored quantum sensors.
- To provide a framework for assessing and enhancing quantum sensor performance under general environmental noise.
Main Methods:
- Developed a numerically efficient method to calculate the quantum Cramér-Rao bound.
- Applied the method to paradigmatic models of continuously monitored quantum sensors.
- Considered both Markovian and non-Markovian environmental noise.
Main Results:
- Established a rigorous and practical framework for precision limit assessment.
- Demonstrated the method's applicability to both constant-parameter and waveform estimation.
- Showcased application with paradigmatic quantum sensor models.
Conclusions:
- The developed method offers a practical approach to overcoming theoretical challenges in quantum sensor noise analysis.
- Enables better assessment and enhancement of quantum sensor performance in realistic experimental settings.
- Has broad applications across experimental quantum physics and precision measurement fields.
Related Concept Videos
03:37Uncertainty in Measurement: Accuracy and Precision
112.7K
Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value.
112.7K
01:05Difference from Background: Limit of Detection
8.7K
The limit of detection (LOD) is the smallest amount of analyte that can be distinguished from the background noise. The LOD value corresponds to the concentration at which the analyte signal is three times larger than the standard deviation of the blank signal. Below this value, the analyte signal cannot be differentiated from the background noise. It is calculated by dividing the calibration slope by 3 times the standard deviation of the blank signals.
The LOD indicates the presence or absence...
The LOD indicates the presence or absence...
8.7K
02:46Uncertainty in Measurement: Reading Instruments
55.3K
Counting is the type of measurement that is free from uncertainty, provided the number of objects being counted does not change during the process. Such measurements result in exact numbers. By counting the eggs in a carton, for instance, one can determine exactly how many eggs are there in the carton. Similarly, the numbers of defined quantities are also exact. For example, 1 foot is exactly 12 inches, 1 inch is exactly 2.54 centimeters, and 1 gram is exactly 0.001 kilograms. Quantities...
55.3K
01:28Accuracy, limits, and approximation
1.3K
Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
1.3K
00:59Propagation of Uncertainty from Random Error
2.1K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
2.1K
01:11Sampling Continuous Time Signal
806
In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
In the...
806