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Quantum Numbers02:43

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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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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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Absolute Quantum Yield Measurement of Powder Samples
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Direct quantum process tomography via measuring sequential weak values of incompatible observables.

Yosep Kim1, Yong-Su Kim2, Sang-Yun Lee2

  • 1Department of Physics, Pohang University of Science and Technology (POSTECH), Pohang, 37673, Korea.

Nature Communications
|January 17, 2018
PubMed
Summary
This summary is machine-generated.

This study demonstrates the quantum nature of weak values using two-photon interference, enabling quantum process tomography for analyzing quantum channels and operations.

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Area of Science:

  • Quantum mechanics
  • Quantum information science
  • Quantum metrology

Background:

  • Weak value measurements are crucial for quantum measurement studies and metrology.
  • Existing experiments often rely on classical wave phenomena, not quantum mechanics.

Purpose of the Study:

  • To demonstrate the quantum mechanical nature of weak values.
  • To utilize sequential weak value measurements for quantum process tomography.

Main Methods:

  • Employing two-photon quantum interference to measure sequential weak values of incompatible observables.
  • Applying sequential weak value measurements to characterize quantum channels.

Main Results:

  • Successfully measured sequential weak values, requiring a quantum mechanical explanation.
  • Demonstrated the application of this technique for direct quantum process tomography of a qubit channel.

Conclusions:

  • The study confirms the inherently quantum nature of weak values.
  • Introduces novel applications for weak values in analyzing quantum operations and channels.