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The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
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Double Resonance Techniques: Overview01:12

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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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Reconstruction of Signal using Interpolation01:10

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Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
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Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
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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.
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A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
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Suppressing Spurious Transitions Using Spectrally Balanced Pulse.

Ruixia Wang1, Yaqing Feng1, Yujia Zhang1,2,3

  • 1Beijing Academy of Quantum Information Sciences, Beijing Key Laboratory of Fault-Tolerant Quantum Computing, Beijing 100193, China.

Physical Review Letters
|October 31, 2025
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Summary
This summary is machine-generated.

Researchers developed a pulse-shaping technique using spectrally balanced microwave pulses to suppress unwanted transitions in superconducting qubits. This method significantly reduces errors, enhancing quantum gate fidelity for better quantum computing control.

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Area of Science:

  • Quantum Computing
  • Superconducting Qubits
  • Quantum Control

Background:

  • Precise control of quantum systems, especially many-body systems, is challenging due to residual couplings and unintended transitions.
  • Parasitic interactions in superconducting qubits, including inter-qubit and two-level system couplings, degrade quantum gate performance.

Purpose of the Study:

  • To introduce a novel pulse-shaping technique for mitigating parasitic interactions in superconducting qubits.
  • To suppress undesired transitions and reduce quantum gate errors.

Main Methods:

  • Development and application of spectrally balanced microwave pulses.
  • Experimental validation of the pulse-shaping technique on superconducting qubits.

Main Results:

  • Demonstrated an order-of-magnitude reduction in spurious excitations between weakly detuned qubits.
  • Achieved substantial decrease in single-qubit gate errors from strongly coupled two-level defects across a wide frequency range.

Conclusions:

  • The spectrally balanced pulse-shaping technique effectively suppresses parasitic couplings, enhancing quantum gate fidelity.
  • This method offers a simple, powerful solution adaptable to various quantum systems.