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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
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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.
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Distributed quantum sensing with mode-entangled spin-squeezed atomic states.

Benjamin K Malia1,2, Yunfan Wu3, Julián Martínez-Rincón1,4

  • 1Department of Physics, Stanford University, Stanford, CA, USA.

Nature
|November 23, 2022
PubMed
Summary
This summary is machine-generated.

Spatially distributed entanglement in quantum sensor networks enhances performance. This quantum entanglement approach improves network precision and scalability compared to localized entanglement methods.

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Area of Science:

  • Quantum Information Science
  • Metrology
  • Networked Quantum Systems

Background:

  • Quantum sensors are crucial for precision timekeeping, field sensing, and quantum communication.
  • Networked quantum sensors enable distributed tasks like clock synchronization, but performance is often limited by noise and entanglement strategies.
  • Existing networks with localized entanglement show sub-optimal scaling with network size.

Purpose of the Study:

  • To demonstrate that spatially distributed entanglement improves the scaling and noise performance of quantum sensor networks.
  • To introduce a novel method for entangling a network of quantum sensors using shared quantum nondemolition measurements.
  • To validate the approach with atomic clock and atomic interferometer protocols.

Main Methods:

  • Utilizing shared quantum nondemolition measurements to create spatially distributed entanglement across a network of up to four nodes.
  • Comparing the precision of the entangled network against networks with localized entanglement and those operating at the quantum projection noise limit.
  • Implementing and testing the entanglement strategy with atomic clock and atomic interferometer sensor types.

Main Results:

  • The developed network with spatially distributed entanglement achieved up to 4.5 decibels better precision than networks without it.
  • An improvement of 11.6 decibels was observed compared to sensors operating at the quantum projection noise limit.
  • The approach demonstrated generality and effectiveness for intrinsically differential sensor comparisons.

Conclusions:

  • Spatially distributed entanglement offers superior scaling and noise performance for quantum sensor networks compared to localized entanglement.
  • The shared quantum nondemolition measurement technique provides a practical method for enhancing networked quantum sensing.
  • This work paves the way for more precise and scalable distributed quantum technologies.