Problem of Existence of Joint Distribution on Quantum Logic
2024

Existence of Joint Distribution on Quantum Logic

publication Evidence: moderate

Author Information

Author(s): Nánásiová Oľga, Čipková Karla, Zákopčan Michal

Primary Institution: Slovak University of Technology in Bratislava

Hypothesis

Can joint distributions be modeled on quantum logic for three or more random variables?

Conclusion

The study shows that under certain conditions, a trivariate extension of a bivariate s-map can be established in quantum logic.

Supporting Evidence

  • The paper builds on previous findings from 2020.
  • It discusses the use of s-maps for constructing joint probabilities.
  • The existence of joint distributions is shown under specific conditions.

Takeaway

This paper is about how to combine probabilities in quantum logic, which is a special way of thinking about probability that allows for some events to not be compatible.

Methodology

The paper extends previous findings on joint distributions using mathematical tools like s-maps in quantum logic.

Limitations

The results are specific to quantum logics with certain structures and may not apply universally.

Digital Object Identifier (DOI)

10.3390/e26121121

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