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Verification of the Born rule via direct measurement of superposition wavefunction

Quantum Physics 2022-12-14 v1

Abstract

The Born rule, which is one of foundational axioms of quantum theory, states that the probability of obtain outcome aa for the quantum state ψ|\psi\rangle is determined by P(a)=aψ2P(a)=|\langle a|\psi\rangle|^{2}. Despite its great success in predicting the experimental outcomes, there still lacks a direct way to verify the Born rule. Here, we show that the weak value based direct measurement of superposition wavefunction is feasible, which can be used to verify the Born rule directly. The plausible experiment is suggested.

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Cite

@article{arxiv.2212.06525,
  title  = {Verification of the Born rule via direct measurement of superposition wavefunction},
  author = {Hu Meng-Jun},
  journal= {arXiv preprint arXiv:2212.06525},
  year   = {2022}
}

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