# Tossing Quantum Coins and Dice

arXiv: https://arxiv.org/abs/2103.17007 · HTML: https://mlsanity.com/paper/2103.17007/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- Builds on 4 of its 82 references that are in the map.
- First posted on arXiv 31 Mar 2021.

## Builds on (most cited first, 4 of 4)

- [Quantum-like models cannot account for the conjunction fallacy](https://mlsanity.com/paper/1606.03430/) (2015)
- [Evolutionary Processes in Quantum Decision Theory](https://mlsanity.com/paper/2006.16763/) (2020)
- [Testing quantum-like models of judgment for question order effect](https://mlsanity.com/paper/1501.04901/) (2015)
- [Quantum Probabilities as Behavioral Probabilities](https://mlsanity.com/paper/1703.05691/) (2017)

## Built on by (most cited first, 3 of 3)

- [Quantification of emotions in decision making](https://mlsanity.com/paper/2203.02217/) (2022)
- [Quantum Uncertainty in Decision Theory](https://mlsanity.com/paper/2105.07877/) (2021)
- [Quantum Operation of Affective Artificial Intelligence](https://mlsanity.com/paper/2305.08112/) (2023)

## Abstract (arXiv)

The procedure of tossing quantum coins and dice is described. This case is an important example of a quantum procedure because it presents a typical framework employed in quantum information processing and quantum computing. The emphasis is on the clarification of the difference between quantum and classical conditional probabilities. These probabilities are designed for characterizing different systems, either quantum or classical, and they, generally, cannot be reduced to each other. Thus the L"uders probability cannot be treated as a generalization of the classical conditional probability. The analogies between quantum theory of measurements and quantum decision theory are elucidated.