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Published on: September 5, 2019
Some Quantum Measurements with Three Outcomes Can Reveal Nonclassicality where All Two-Outcome Measurements Fail to
H Chau Nguyen1, Otfried Gühne1
1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany.
The number of measurement outcomes can reveal quantum nonclassicality. Some quantum systems appear classical with two-outcome measurements but nonclassical with three-outcome measurements, demonstrating the importance of measurement design.
Area of Science:
- Quantum Information Science
- Foundations of Quantum Mechanics
Background:
- Measurements bridge the quantum and classical worlds.
- Efficiently extracting information from quantum systems is a key research area.
- Quantum steering is a nonclassical correlation phenomenon.
Purpose of the Study:
- To investigate the role of the number of measurement outcomes in revealing quantum nonclassicality.
- To develop new criteria for detecting quantum steering.
- To improve methods for constructing local hidden variable models.
Main Methods:
- Utilizing quantum steering as a nonclassical phenomenon.
- Analyzing the results of two-outcome and three-outcome measurements.
- Developing novel criteria for quantum steering detection.
Main Results:
- Demonstrated instances where two-outcome measurements yield classical explanations, but three-outcome measurements do not.
- Highlighted the significance of the number of outcomes in uncovering quantum nonclassicality.
- Provided improved techniques for constructing local hidden variable models.
Conclusions:
- The number of outcomes in quantum measurements is crucial for revealing nonclassical properties.
- Quantum steering can be detected more effectively with measurements involving a higher number of outcomes.
- The study offers new tools for understanding quantum correlations and nonclassicality.
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According to the range rule of thumb, any value above or below two standard deviations, 2σ from the mean, μ is considered unusual.
Maximum unusual value =...

