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Quantum Numbers02:43

Quantum Numbers

34.8K
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.
34.8K
Inductively Coupled Plasma Atomic Emission Spectroscopy: Instrumentation01:26

Inductively Coupled Plasma Atomic Emission Spectroscopy: Instrumentation

253
Inductively coupled plasma (ICP) is the common plasma source used in atomic emission spectroscopy (AES), a technique that detects and analyzes various elements in a sample. This method is often called inductively coupled plasma atomic emission spectroscopy (ICP-AES).
There are three main types of inductively coupled plasma atomic emission spectroscopy  (ICP-AES) instruments: sequential, simultaneous multichannel, and Fourier transform instruments, with the latter being less commonly used....
253
2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)

744
Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
744
Phasor Arithmetics01:13

Phasor Arithmetics

322
Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular...
322
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

1.1K
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...
1.1K
Bandpass Sampling01:17

Bandpass Sampling

198
In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2....
198

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Related Experiment Video

Updated: Jul 16, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Benchmarking universal quantum gates via channel spectrum.

Yanwu Gu1,2, Wei-Feng Zhuang3, Xudan Chai3,4

  • 1Beijing Academy of Quantum Information Sciences, Beijing, 100193, China. guyw@baqis.ac.cn.

Nature Communications
|September 21, 2023
PubMed
Summary
This summary is machine-generated.

Channel Spectrum Benchmarking (CSB) offers a scalable method to precisely characterize quantum gate noise. This technique overcomes limitations of current methods by analyzing noisy channel eigenvalues for accurate quantum processor calibration.

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Last Updated: Jul 16, 2025

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Error Characterization

Background:

  • Noise is a primary impediment to achieving scalable quantum computation.
  • Quantum benchmarking is crucial for understanding noise and advancing quantum processor development.
  • Existing benchmarking techniques often lack specificity for individual gates or universal applicability.

Purpose of the Study:

  • To introduce Channel Spectrum Benchmarking (CSB) as a novel method for inferring quantum gate noise properties.
  • To address limitations of current quantum benchmarking approaches, particularly regarding gate specificity and scalability.
  • To enable direct noise characterization of individual gates and circuit fragments for improved quantum processor performance.

Main Methods:

  • CSB infers noise characteristics, including process and stochastic fidelity, from the eigenvalues of a target gate's noisy quantum channel.
  • The method is designed to be insensitive to state-preparation and measurement errors.
  • CSB is applicable to universal quantum gates and scalable to multi-qubit systems.

Main Results:

  • CSB provides direct noise information for target native gates and circuit fragments.
  • The technique allows for the benchmarking and calibration of global entangling gates.
  • CSB facilitates the characterization of essential quantum algorithm modules, such as Trotterized Hamiltonian evolution operators.

Conclusions:

  • Channel Spectrum Benchmarking presents a significant advancement in quantum noise characterization.
  • CSB's ability to benchmark universal gates and scale to many-qubit systems makes it vital for future quantum processors.
  • This method offers a direct and robust approach for calibrating complex quantum operations and algorithm components.