Negative probabilities can occur in quasiprobability distributions in quantum mechanics
Negative probabilities and non-real values are well-documented features of quasiprobability distributions, such as the Wigner and Kirkwood-Dirac functions, reflecting non-classical quantum phenomena like quantum coherence.
The claim states that negative probabilities can occur in quasiprobability distributions in quantum mechanics. Multiple retrieved papers (such as [0], [3], [4], and [6]) directly discuss negative values, nonreal values, and negativity in quasiprobability distributions (like the Wigner function and Kirkwood-Dirac distribution) in quantum mechanics. Therefore, the claim is strongly supported by the evidence.
Giovanni Manfredi. Logical entropy and negative probabilities in quantum mechanics. 2022. https://doi.org/10.1051/fopen/2022004
Discusses how the quadratic form of logical entropy allows for a generalization of probabilities that includes negative values in quantum mechanics, tracing the concept back to Feynman and Wigner.
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Hofmann HF. Statistical Signatures of Quantum Contextuality.. 2024. https://doi.org/10.3390/e26090725
Notes that a complete description of quantum states involves elements of the Kirkwood-Dirac quasiprobability, which can exhibit non-classical statistical features.
Wang P, Kwon H, Luan CY, Chen W, Qiao M, Zhou Z, Wang K, Kim MS, Kim K. Snapshotting quantum dynamics at multiple time points.. 2024. https://doi.org/10.1038/s41467-024-53051-5
Reconstructs multi-time quasi-probability distributions and explicitly notes that negativity and complex values within these distributions indicate quantum coherence.
Ding Z, Zhou SQ. Quantifying the Nonclassicality of the Kirkwood-Dirac Quasiprobability Distribution Under Discrete-Time Dynamics.. 2026. https://doi.org/10.3390/e28040395
Explains that the Kirkwood-Dirac quasiprobability distribution can take on negative or nonreal values, serving as a measure of quantum nonclassicality.
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