Related Experiment Video
Updated: Dec 30, 2025
05:30
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
Published on: September 8, 2023
1.0K
Tensor-network approach for quantum metrology in many-body quantum systems
Krzysztof Chabuda1, Jacek Dziarmaga2, Tobias J Osborne3
1Faculty of Physics, University of Warsaw, ul. Pasteura 5, 02-093, Warszawa, Poland.
Nature Communications
|January 16, 2020
Summary
This study introduces a novel tensor network framework using matrix product operators (MPO) for quantum metrology. It enables precise identification of optimal quantum sensing protocols and probe states, even in complex noisy systems.
Area of Science:
- Quantum Information Science
- Quantum Metrology
- Condensed Matter Physics
Background:
- Optimal quantum metrology is crucial for precision measurements but challenging in many-particle systems.
- Current numerical and analytical methods struggle with complex quantum models.
Purpose of the Study:
- To develop a comprehensive framework for identifying optimal quantum metrological protocols.
- To enable the characterization of quantum sensing in previously inaccessible regimes.
Main Methods:
- Exploitation of matrix product operators (MPO) and infinite MPO (iMPO) tensor network techniques.
- Application to quantum metrology problems with short-range noise correlations.
Main Results:
- Identification of maximal achievable estimation precision and optimal probe states.
- Efficient determination of asymptotic precision for infinite particle numbers.
- Demonstration with atomic clock stabilization and magnetic field sensing examples.
Conclusions:
- The MPO tensor network framework provides an efficient solution for quantum metrology challenges.
- The methods are applicable to various quantum sensing scenarios and noise correlations.
- The framework also aids in calculating fidelity susceptibility for phase transition studies.
Related Concept Videos
02:45The Quantum-Mechanical Model of an Atom
56.2K
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.
56.2K
01:05Estimation of the Physical Quantities
7.1K
On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
7.1K
01:182D NMR: Overview of Heteronuclear Correlation Techniques
680
Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other...
680
01:02¹H NMR: Interpreting Distorted and Overlapping Signals
1.4K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.4K
02:40MO Theory and Covalent Bonding
13.3K
The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
13.3K
02:35Molecular Orbital Theory I
46.3K
Overview of Molecular Orbital Theory
46.3K