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Related Concept Videos

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...
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the others.
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...
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)

Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

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 in...

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Related Experiment Video

Updated: May 18, 2026

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
12:57

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Published on: October 13, 2017

Quantum interference between three two-spin states in a double quantum dot.

S A Studenikin1, G C Aers, G Granger

  • 1Institute for Microstructural Sciences, National Research Council Canada, Ottawa, Ontario Canada K1A 0R6.

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

Quantum interference between singlet and triplet qubits in double quantum dots was experimentally confirmed. This interference primarily affects the singlet state, with the S/T(0) qubit exhibiting superior coherence compared to S/T(+).

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Related Experiment Videos

Last Updated: May 18, 2026

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
12:57

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Published on: October 13, 2017

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
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Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Area of Science:

  • Quantum Computing
  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Qubits utilizing singlet (S) and triplet (T(0), T(+)) states in double quantum dots have been independently realized.
  • Theoretical models suggest potential quantum interference arising from the interaction of these distinct qubit types under specific conditions.

Purpose of the Study:

  • To experimentally validate theoretical predictions of quantum interference between S and T qubits.
  • To identify the precise conditions under which this quantum interference phenomenon occurs.
  • To analyze the manifestation and impact of this interference on qubit properties.

Main Methods:

  • Experimental demonstration of qubit interactions in double quantum dot systems.
  • Theoretical modeling using density matrix calculations.
  • Analysis of qubit state occupations and coherence times.

Main Results:

  • Experimental evidence confirms the predicted quantum interference between S and T qubits.
  • The interference pattern is predominantly observed through the occupation of the shared singlet state.
  • The S/T(0) qubit demonstrates significantly longer coherence times than the S/T(+) qubit.

Conclusions:

  • The study confirms the theoretical proposal of quantum interference between different qubit species in double quantum dots.
  • Understanding these interference mechanisms is crucial for optimizing qubit performance.
  • The S/T(0) qubit configuration offers enhanced coherence, presenting a promising avenue for quantum information processing.