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Updated: Mar 16, 2026

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Loophole-free Bell test using electron spins in diamond: second experiment and additional analysis
B Hensen1,2, N Kalb1,2, M S Blok1,2
1QuTech, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands.
This study confirms the violation of a Bell inequality using entangled electronic spins in diamonds. The results provide further robust evidence against local-realist theories, reinforcing quantum mechanics principles.
Area of Science:
- Quantum Physics
- Experimental Physics
Background:
- Bell's inequality violation provides loophole-free evidence against local-realist theories.
- Previous experiments have demonstrated such violations using entangled electronic spins in diamonds.
Purpose of the Study:
- To report on data from a second Bell experiment using a similar setup.
- To further validate the violation of Bell inequalities and test local-realist theories.
- To analyze the robustness of the experimental results against potential loopholes.
Main Methods:
- Conducting a second Bell experiment with entangled electronic spins in diamonds.
- Measuring the violation of the CHSH-Bell inequality.
- Analyzing settings choices and random number generator (RNG) imperfections.
Main Results:
- A violation of the CHSH-Bell inequality of 2.35 ± 0.18 was observed in the second experiment.
- The combined results from both experiments yielded an overall S value of 2.38 ± 0.14.
- The experimental results were found to be robust against RNG bias, even with early random bit generation.
Conclusions:
- The second Bell experiment independently confirms the violation of Bell inequalities.
- The combined results strengthen the evidence against local-realist theories.
- The study demonstrates the resilience of the experimental findings to potential systematic errors.
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