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Related Concept Videos

NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

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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...
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Spin–Spin Coupling Constant: Overview01:08

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

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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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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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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.
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Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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Quantum error correction with silicon spin qubits.

Kenta Takeda1, Akito Noiri2, Takashi Nakajima2

  • 1Center for Emergent Matter Science (CEMS), RIKEN, Wako, Japan. kenta.takeda@riken.jp.

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|August 24, 2022
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Summary
This summary is machine-generated.

Researchers demonstrate quantum error correction (QEC) in silicon using a three-qubit system. This breakthrough protects quantum information and shows silicon

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Area of Science:

  • Quantum Computing
  • Quantum Error Correction
  • Solid-State Physics

Background:

  • Large-scale quantum computers require quantum error correction (QEC) to protect quantum information.
  • Silicon-based spin qubits are promising for scaling quantum devices due to mature nanofabrication.
  • Implementing QEC, which needs multiple coupled qubits, remains a significant challenge.

Purpose of the Study:

  • To demonstrate a three-qubit phase-correcting code in silicon.
  • To show the protection of encoded quantum states against phase-flip errors.
  • To validate the potential of silicon qubits for scalable quantum computing.

Main Methods:

  • Demonstration of a three-qubit phase-correcting code.
  • Implementation of a three-qubit conditional rotation using an iToffoli gate.
  • Protection against single-qubit phase-flip errors and dephasing.

Main Results:

  • Successful implementation of a three-qubit phase-correcting code in silicon.
  • Mitigation of errors from single-qubit phase-flips and dephasing.
  • Demonstration of an efficient single-step iToffoli gate for error correction.

Conclusions:

  • The study successfully demonstrates quantum error correction in a silicon-based platform.
  • The results highlight the potential of silicon spin qubits for building scalable quantum computers.
  • This work addresses a key challenge in realizing fault-tolerant quantum computation.