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Absolute Quantum Yield Measurement of Powder Samples
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Quantum fidelity measures for mixed states.

Yeong-Cherng Liang1,2, Yu-Hao Yeh1, Paulo E M F Mendonça3,4

  • 1Department of Physics, National Cheng Kung University, Tainan 701, Taiwan.

Reports on Progress in Physics. Physical Society (Great Britain)
|April 26, 2019
PubMed
Summary
This summary is machine-generated.

Quantum fidelity measures are essential for comparing quantum states. This review clarifies properties of different measures for mixed quantum states, crucial for quantum technology applications.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Physics

Background:

  • Quantum technologies rely on performance metrics like fidelity for comparing quantum states.
  • Fidelity measurement is complex for mixed quantum states, unlike simpler pure states.
  • Numerous quantum fidelity measures have been proposed in scientific literature.

Purpose of the Study:

  • To review and define the essential properties of quantum fidelity measures.
  • To compare existing quantum fidelity measures based on these properties.
  • To identify measures suitable for practical quantum applications.

Main Methods:

  • Systematic review of proposed quantum fidelity measures.
  • Analysis of mathematical properties required for fidelity measures.
  • Comparative study of different fidelity measures with detailed proofs.

Main Results:

  • Identified large classes of quantum fidelity measures satisfying all required properties.
  • Demonstrated that multiple valid fidelity measures exist, analogous to norms and entropies.
  • Provided detailed proofs for the properties of compared fidelity measures.

Conclusions:

  • Several quantum fidelity measures are suitable for quantifying performance in quantum technologies.
  • The choice of fidelity measure depends on specific application requirements.
  • Understanding these measures is vital for advancements in quantum communication, computing, and simulation.