Related Experiment Video
Updated: Nov 29, 2025
05:30
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
Published on: September 8, 2023
956
Heisenberg-scaling measurement protocol for analytic functions with quantum sensor networks
Kevin Qian1,2,3, Zachary Eldredge1,2, Wenchao Ge4
1Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.
Physical Review. A
|November 19, 2020
Summary
Entanglement in quantum sensor networks offers a significant O(d) improvement in estimating analytic functions of d parameters. This optimized protocol enhances precision for qubit sensors and has potential applications in quantum computing calibration.
Area of Science:
- Quantum Information Science
- Quantum Metrology
- Quantum Sensing
Background:
- Quantum sensor networks leverage quantum phenomena for enhanced measurement precision.
- Previous research established benefits of quantum entanglement in specific sensor network configurations.
- Analytic function estimation is crucial in various scientific and technological domains.
Purpose of the Study:
- To generalize entanglement benefits in quantum sensor networks for estimating analytic functions of multiple parameters.
- To determine the optimality of entanglement-assisted protocols for different quantum sensor types.
- To explore the applicability of the developed protocol to continuous variable measurements and practical applications.
Main Methods:
- Generalization of existing quantum sensor network models to accommodate 'd' input parameters.
- Analysis of entanglement's impact on the mean-squared error of function estimation.
- Derivation of an optimal protocol for qubit-based sensors and conjecture for photon-based sensors.
Main Results:
- Demonstrated an O(d) improvement in mean-squared error using entanglement for estimating analytic functions of 'd' parameters.
- Proved the optimality of the entanglement-assisted protocol for qubit sensors.
- Extended the protocol's applicability to continuous variable measurements and identified potential applications.
Conclusions:
- Entanglement provides a significant, parameter-dependent advantage in quantum sensor network precision.
- The developed protocol is optimal for qubit sensors and shows promise for photonic and continuous variable systems.
- Potential applications include enhancing laser calibration in trapped ion quantum computing.
Related Concept Videos
04:08The Uncertainty Principle
30.2K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
30.2K
02:45The Quantum-Mechanical Model of an Atom
55.2K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
55.2K
02:32The de Broglie Wavelength
32.0K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
32.0K
01:192D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)
1.2K
Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
1.2K
01:26Scaling
420
In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
420