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Related Concept Videos

Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

980
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...
980
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

1.1K
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...
1.1K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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

1.1K
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...
1.1K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.0K
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,...
1.0K
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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

1.1K
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...
1.1K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

42.9K
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:
42.9K

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Updated: Aug 11, 2025

Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping
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Universal logic with encoded spin qubits in silicon.

Aaron J Weinstein1, Matthew D Reed2, Aaron M Jones2

  • 1HRL Laboratories, LLC, Malibu, CA, USA. ajweinstein@hrl.com.

Nature
|February 6, 2023
PubMed
Summary
This summary is machine-generated.

Researchers developed a new quantum computing method using electrical control of electron spins, overcoming microwave-induced errors. This approach offers a promising path to fault-tolerant quantum computation and enhanced performance.

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All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
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Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
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All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
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Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
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Area of Science:

  • Quantum computing
  • Quantum information science
  • Solid-state physics

Background:

  • Quantum computation faces challenges due to errors from noise and imperfect control, hindering fault tolerance.
  • Correlated errors, often caused by microwave control of qubits, are a significant obstacle for many qubit technologies.
  • Existing methods require strict error characterization and correlation management for fault-tolerant quantum computation.

Purpose of the Study:

  • To demonstrate an alternative approach to quantum computation using energy-degenerate encoded qubit states.
  • To achieve universal quantum control by bypassing microwave-associated correlated error sources.
  • To explore a pathway towards scalable fault tolerance in quantum computing.

Main Methods:

  • Utilized energy-degenerate encoded qubit states controlled by nearest-neighbor contact interactions for partial spin swaps.
  • Employed voltage pulses for calibrated sequences of partial swaps, enabling all-electrical control.
  • Fabricated a six-qubit array using 28Si/SiGe quantum dots on a scalable platform.

Main Results:

  • Achieved universal quantum control for two encoded qubits, bypassing microwave-related correlated errors.
  • Quantified operational fidelity using interleaved randomized benchmarking: 96.3% ± 0.7% for encoded CNOT, 99.3% ± 0.5% for encoded SWAP.
  • Demonstrated high quantum coherence and low crosstalk control through partial swap operations.

Conclusions:

  • The developed all-electrical control method using partial swaps offers a robust pathway to fault-tolerant quantum computation.
  • Enriched silicon's quantum coherence, combined with electrical control and error-insensitive encoding, addresses key challenges in quantum computing.
  • This approach provides a strong foundation for achieving scalable fault tolerance and unlocking computational advantage.