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Testing time order and Leggett-Garg inequalities with noninvasive measurements on public quantum computers

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2025

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Rybotycki, Tomasz
Bialecki, Tomasz
Batle, Josep
Zglinicki, Bartlomiej
Szereszewski, Adam

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https://doi.org/10.48550/arXiv.2507.07904
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http://arxiv.org/abs/2507.07904

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Zusammenfassung

We present two protocols, with one and two two-qubit gates, to noninvasively measure two incompatible observables on a qubit. Both protocols are completed with a projective measurement. By gathering sufficiently large statistics, we have been able to violate Leggett-Garg inequality and time-order invariance. The detailed analysis of the data on 10 qubit sets from 5 devices available on IBM Quantum and one on IonQ reveals violations beyond 5 standard deviations in almost all cases. The noninvasiveness is supported by a qualitative and quantitative agreement with the model of weak disturbance. These results show another characteristic feature of quantum measurements.

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530 Physik

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Quantum Physics, Leggett-Garg inequality, time-order invariance

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ISO 690RYBOTYCKI, Tomasz, Tomasz BIALECKI, Josep BATLE, Bartlomiej ZGLINICKI, Adam SZERESZEWSKI, Wolfgang BELZIG, Adam BEDNORZ, 2025. Testing time order and Leggett-Garg inequalities with noninvasive measurements on public quantum computers
BibTex
@unpublished{Rybotycki2025-07-10Testi-73989,
  title={Testing time order and Leggett-Garg inequalities with noninvasive measurements on public quantum computers},
  year={2025},
  doi={10.48550/arXiv.2507.07904},
  author={Rybotycki, Tomasz and Bialecki, Tomasz and Batle, Josep and Zglinicki, Bartlomiej and Szereszewski, Adam and Belzig, Wolfgang and Bednorz, Adam}
}
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