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Related Concept Videos

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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When protons A and X are coupled, their nuclear spin energy levels are slightly modified. This is because the energy required to excite proton A to a spin state parallel to proton X is slightly different from the energy required for it to become anti-parallel to spin X. Consequently, there are two possible excitation frequencies for A (A1 and A2), depending on the spin state of X, and vice versa. The mutual nature of coupling implies that the difference between frequencies A1 and A2, indicated...
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A mass spectrum is the graphical representation of the relative abundance of the charged fragments in an analyte plotted against their mass-to-charge ratio (m/z). The plot's x axis represents the ratio of the mass of the charged fragment to the elementary charge it carries. The y axis of the plot represents the relative abundance of each charged species. The relative abundance is calculated from the signal intensity of each charged species recorded at the detector. The most intense signal...
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An unknown compound can be established by identifying the molecular ion peak in the mass spectrum. The molecular ion peak is often weak or absent due to the predominance of fragmentation in high-energy electron beams. In such cases, a low-energy electron beam can be used to scan the spectrum to enhance the intensity of the molecular ion peak. Additionally, chemical ionization, field ionization, and desorption ionization spectra are used to obtain a relatively intense molecular ion peak.
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The Quantum-Mechanical Model of an Atom02:45

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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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 Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Negation of the Quantum Mass Function for Multisource Quantum Information Fusion With its Application to Pattern

Fuyuan Xiao, Witold Pedrycz

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    This study introduces a novel negation method for quantum basic belief assignment (QBBA) to manage uncertainty in artificial intelligence. This approach enhances quantum decision-making and information fusion for complex pattern classification tasks.

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    Area of Science:

    • Quantum Computing
    • Artificial Intelligence
    • Information Theory

    Background:

    • Handling uncertainty in AI knowledge representation is a significant challenge.
    • Complex Evidence Theory (CET) offers a framework for managing uncertainty in a complex plane.
    • Quantum decision-making requires robust methods for expressing and processing uncertain information.

    Purpose of the Study:

    • To explore quantum decisions through the lens of negation.
    • To develop a generalized negation method for quantum basic belief assignment (QBBA).
    • To design and evaluate multisource quantum information fusion (MSQIF) algorithms for decision support.

    Main Methods:

    • Expressing Complex Evidence Theory (CET) within the quantum framework of Hilbert space.
    • Proposing a generalized negation method for QBBA, termed QBBA negation.
    • Revisiting QBBA entropy to analyze the negation process and its iterative behavior.
    • Designing several multisource quantum information fusion (MSQIF) algorithms.

    Main Results:

    • A novel QBBA negation function is proposed and its properties analyzed.
    • QBBA entropy is used to reveal the variation tendency during negation iteration.
    • Developed MSQIF algorithms effectively support decision-making processes.
    • Demonstrated the effectiveness of MSQIF algorithms in pattern classification tasks.

    Conclusions:

    • This work pioneers the design of MSQIF algorithms for quantum decision-making using a negation perspective.
    • The proposed methods offer promising solutions for knowledge representation, uncertainty quantification, and quantum information fusion.
    • This research advances the field by providing a new framework for handling uncertainty in quantum artificial intelligence systems.