Yes, Prime Minister, question order does matter -- and it's certainly not classical! But is it quantum?
<|reference_start|>Yes, Prime Minister, question order does matter -- and it's certainly not classical! But is it quantum?: Response to a poll can be manipulated by means of a series of leading questions. We show that such phenomena cannot be explained by use of classical probability theory, whereas quantum probability theory admits a possibility of offering an explanation. Admissible transformation rules in quantum probability, however, do impose some constraints on the modelling of cognitive behaviour, which are highlighted here. Focusing on a recent poll conducted by Ipsos on a set of questions posed by Sir Humphrey Appleby in an episode of the British political satire \textit{Yes, Prime Minister}, we show that the resulting data cannot be explained quite so simply using quantum rules, although it seems not impossible.<|reference_end|>
@article{brody2024yes,,
    title={Yes, Prime Minister, question order does matter -- and it's certainly
  not classical! But is it quantum?},
    author={Dorje C. Brody},
    journal={arXiv preprint arXiv:2409.08930},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.08930},
    primaryClass={cs.AI q-bio.NC quant-ph}
}