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Related Concept Videos

NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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 slanted or...
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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 one, the...
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...

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Related Experiment Video

Updated: May 10, 2026

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
15:47

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

Physical optimization of quantum error correction circuits with spatially separated quantum dot spins.

Hong-Fu Wang1, Ai-Dong Zhu, Shou Zhang

  • 1Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, China. hfwang@ybu.edu.cn

Optics Express
|June 6, 2013
PubMed
Summary

We present an efficient protocol for three-qubit quantum error correction using spatially separated quantum dot spins. This method utilizes virtual-photon-induced interactions for robust quantum information processing.

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Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping
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Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
15:47

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping
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Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping

Published on: June 3, 2015

Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Communication

Background:

  • Quantum error correction is crucial for reliable quantum computation.
  • Implementing quantum error correction with remote qubits presents significant challenges.
  • Spatially separated quantum systems require robust interaction mechanisms.

Purpose of the Study:

  • To propose an efficient protocol for three-qubit quantum error correction.
  • To optimize the physical implementation of quantum error correction using quantum dot spins.
  • To enable long-distance quantum communication and distributed quantum computation.

Main Methods:

  • Utilizing spatially separated quantum dot spins trapped in individual cavities.
  • Connecting cavities with optical fibers for mediated interactions.
  • Employing virtual-photon-induced processes for qubit interactions.
  • Implementing one-bit unitary rotation gates and two-bit quantum iSWAP gates.

Main Results:

  • Demonstration of an efficient protocol for three-qubit quantum error correction.
  • Physical implementation details for correcting bit flip and phase flip errors.
  • Successful generation of long-range interactions between distributed quantum dot spins.
  • Validation of the protocol's applicability for quantum communication networks.

Conclusions:

  • The proposed protocol offers an efficient method for quantum error correction.
  • The approach facilitates robust quantum information processing over long distances.
  • This work paves the way for advanced distributed quantum computation and communication networks.